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Papers and Talks

ALPS references

The ALPS project has been outlined in a series of manuscripts which now serve as the standard reference for the ALPS project.

For release 2.0 please cite the manuscripts:

B. Bauer et al. (ALPS collaboration)
The ALPS project release 2.0: open source software for strongly correlated systems
J. Stat. Mech. P05001 (2011).

A.F. Albuquerque et al. (ALPS collaboration)
The ALPS project release 1.3: open source software for strongly correlated systems
Journal of Magnetism and Magnetic Materials 310, 1187 (2007).

For release 1.3 please cite the manuscript:

A.F. Albuquerque et al. (ALPS collaboration)
The ALPS project release 1.3: open source software for strongly correlated systems
Journal of Magnetism and Magnetic Materials 310, 1187 (2007).

For release 1.2 give a reference to:

F. Alet et al. (ALPS collaboration)
The ALPS project: open source software for strongly correlated systems
J. Phys. Soc. Jpn. Suppl. 74, 30 (2005).

Code and method references

The following list contains additional references for individual libraries, applications, and the implemented numerical methods:

ALPS codes
Numerical methods
  • The scheduler library
M. Troyer, Beat Ammon and Elmar Heeb
Parallel object oriented Monte Carlo Simulations
Lect. Notes Comput. Sci. 1505, 191 (1998).
  • The looper code
S. Todo and K. Kato
Cluster Algorithms for General-S Quantum Spin Systems
Phys. Rev. Lett. 87, 047203 (2001).
  • Clusters and Loops
The idea of cluster updates for quantum systems
H. G. Evertz, G. Lana, and M. Marcu
Cluster algorithm for vertex models
Phys. Rev. Lett. 70, 875 (1993).
The extension to continuous time
B. B. Beard and U.-J. Wiese
Simulations of Discrete Quantum Systems in Continuous Euclidean time
Phys. Rev. Lett. 77, 5130 (1996).
review/overview paper
H. G. Evertz
The loop algorithm
Adv. Phys. 52, 1 (2003).
  • The Directed Loop code in SSE representation
The code is mainly based on this paper
1) Fabien Alet, Stefan Wessel, and Matthias Troyer
Generalized directed loop method for quantum Monte Carlo simulations
Phys. Rev. E 71, 036706 (2005).
The paper introducing the operator loops (also implemented)
2) A. W. Sandvik
Stochastic series expansion method with operator-loop update
Phys. Rev. B 59, 14157 (1999).
and also these updates are implemented
3) L. Pollet, S. M. A. Rombouts, K. Van Houcke, and K. Heyde
Optimal Monte Carlo updating
Phys. Rev. E 70, 056705 (2004).
  • Stochastic Series Expansion (SSE)
The following two papers use local updates in the SSE framework
A. W. Sandvik and J. Kurkijärvi
"Quantum Monte Carlo simulation method for spin systems"
Phys. Rev. B 43, 5950 (1991).
A. W. Sandvik
"A generalization of Handscomb's quantum Monte Carlo scheme-application to the 1D Hubbard model"
J. Phys. A 25, 3667 (1992).
The paper introducing the directed loops
O.F. Syljuåsen and A.W. Sandvik
"Quantum Monte Carlo with directed loops"
Phys. Rev. E 66, 046701 (2002).
  • The worm code
  • The worm algorithm
N.V. Prokof'ev, B.V. Svistunov, I.S. Tupitsyn
Exact, Complete and Universal Continuous-Time Worldline Monte Carlo Approach to the Statistics of Discrete Quantum Systems
Phys. Lett. A 238, 253 (1998),
Sov. Phys. - JETP 87,310 (1998), cond-mat/9703200.
  • Non-local Updates
M. Troyer, F. Alet, S. Trebst, S. Wessel
Non-local Updates for Quantum Monte Carlo Simulations
AIP Conference Proceedings 690, 400 (2003).
  • Quantum Wang-Landau code
M. Troyer, S. Wessel, and F. Alet
Wang-Landau sampling for quantum systems: algorithms to overcome tunneling problems and calculate the free energy
Phys. Rev. Lett. 90, 120201 (2003).

  • Extended ensemble simulations
  • The DMRG code

  • The Density Matrix Renormalization Group (DMRG)
S. R. White
Density matrix formulation for quantum renormalization groups
Phys. Rev. Lett. 69, 2863 (1992).
S. R. White
Density-matrix algorithms for quantum renormalization groups
Phys. Rev. B 48, 10345 (1993).
U. Schollwöck
The density-matrix renormalization group
Rev. Mod. Phys. 77, 259 (2005).
Karen Hallberg
New Trends in Density Matrix Renormalization
Adv. Phys. 55, 477 (2006).
  • Continuous-Time quantum Monte Carlo impurity solver programs and the DMFT framework
E. Gull, P. Werner, S. Fuchs, B. Surer, T. Pruschke, and M. Troyer
Continuous-Time Quantum Monte Carlo Impurity Solvers
Computer Physics Communications 182, 1078 (2011).
  • Continous-time Monte Carlo methods for quantum impurity models
E. Gull, A. J. Millis, A. I. Lichtenstein, A. N. Rubtsov, M. Troyer and P. Werner
Continuous-time Monte Carlo methods for quantum impurity models
Rev. Mod. Phys. 83, 349–404 (2011)
  • Matrix product state applications and the MPS framework
M. Dolfi, B. Bauer, S. Keller, A. Kosenkov, T. Ewart, A. Kantian, T. Giamarchi, M. Troyer
Matrix product state applications for the ALPS project
Computer Physics Communications 185, 3430 (2014).
  • Density Matrix Renormalization Group (DMRG)
S. R. White
Density matrix formulation for quantum renormalization groups
Phys. Rev. Lett. 69, 2863 (1992).
  • Time evolution algorithms
G. Vidal
Efficient Simulation of One-Dimensional Quantum Many-Body Systems
Phys. Rev. Lett.  93  040502  (2004).
S. R. White and A. E. Feiguin
Real-Time Evolution Using the Density Matrix Renormalization Group
Phys. Rev. Lett.  93  076401  (2004).
A. J. Dale, C. Kollath, U. Schollwöck, G. Vidal
Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
J. Stat. Mech.-Theory E.  2004  P04005  (2004).
  • Matrix Product State (MPS) formalism (a review)
U. Schollwöck
The density-matrix renormalization group in the age of matrix product states
Ann. Phys. (N.Y.)  326  96 (2011).


The following is a collection of talks on the ALPS project and talks from the user and developer workshops.

  • Talks from the tutorial at PSI (Sep. 2006)
  • ALPS Overview (M. Troyer)
  • Introduction to ALPS XML [PDF] [Keynote] (S. Todo)
  • Exact Diagonalization (M. Troyer)
  • The ALPS project : talk in Taipei(PDF) (L. Pollet)
  • Introduction to Monte Carlo at PSI [PDF] (L. Pollet)
  • Quantum Monte Carlo [PDF] (F. Alet)

Papers citing the ALPS project

search recent citations

152) Ji-Hong Hu, Jing-Jing Wang, Gao Xianlong, Masahiko Okumura, Ryo Igarashi, Susumu Yamada, Masahiko Machida
Ground-state properties of the one-dimensional attractive Hubbard model with confinement: A comparative study
Phys. Rev. B 82, 014202 (2010).

151) Ryo Igarashi, Masao Ogata
Partial order of frustrated Potts model
J. Phys.: Conf. Ser. 200, 022019 (2010).

150) N.B. Ivanov, J. Schnack, R. Schnalle, J. Richter, P. Koegerler, G.N. Newton, L. Cronin, Y. Oshima, Hiroyuki Nojiri
Heat capacity uncovers physics of a frustrated spin tube

149) Emanuel Gull, David R. Reichman, Andrew J. Millis
Bold Line Diagrammatic Monte Carlo Method: General formulation and application to expansion around the Non-Crossing Approximation

148) Peter Anders, Emanuel Gull, Lode Pollet, Matthias Troyer, Philipp Werner
Dynamical mean field solution of the Bose-Hubbard model

147) L. Pollet, N. V. Prokof'ev, B. V. Svistunov
Criticality in Trapped Atomic Systems

146) A. Fabricio Albuquerque, Fabien Alet, Clément Sire, and Sylvain Capponi
Quantum critical scaling of fidelity susceptibility
Phys. Rev. B 81, 064418 (2010).

145) M. Schmitt, A. A. Gippius, K. S. Okhotnikov, W. Schnelle, K. Koch, O. Janson, W. Liu, Y.-H. Huang, Y. Skourski, F. Weickert, M. Baenitz, and H. Rosner
Electronic structure and magnetic properties of the spin-gap compound Cu2(PO3)2CH2: Magnetic versus structural dimers
Phys. Rev. B 81, 104416 (2010).

144) L. K. Alexander, J. Bobroff,, A. V. Mahajan, B. Koteswararao, N. Laflorencie, and F. Alet
Impurity effects in coupled-ladder BiCu2PO6 studied by NMR and quantum Monte Carlo simulations
Phys. Rev. B 81, 054438 (2010).

143) Michael Knap, Enrico Arrigoni, Wolfgang von der Linden
Benchmarking the variational cluster approach by means of the one-dimensional Bose-Hubbard model

142) Alberto Anfossi, Luca Barbiero, Arianna Montorsi
Detecting the tunneling rates for strongly interacting fermions on optical lattices

141) Philipp Werner and Andrew J. Millis
Dynamical Screening in Correlated Electron Materials
Phys. Rev. Lett. 104, 146401 (2010).

140) Daniel Charrier and Claudio Chamon
Groundstatable fermionic wavefunctions and their associated many-body Hamiltonians
Ann. Phys. 325, 185 (2010).

139) S. Fuchs, T. Pruschke, M. Jarrell
Analytic Continuation of Quantum Monte Carlo Data by Stochastic Analytical Inference

138) Christian Trippe, Andreas Honecker, Andreas Klümper, Vadim Ohanyan
Exact calculation of the magnetocaloric effect in the spin-1/2 XXZ chain
Phys. Rev. B 81, 054402 (2010).

137) Michael Knap, Enrico Arrigoni, and Wolfgang von der Linden
Spectral properties of coupled cavity arrays in one dimension
Phys. Rev. B 81, 104303 (2010).

136) A. Ferreira
The Quantum-Classical Boundary: from Opto-Mechanics to Solid-State

135) Peter Barmettler, Matthias Punk, Vladimir Gritsev, Eugene Demler, and Ehud Altman
Quantum quenches in the anisotropic spin-1/2 Heisenberg chain: different approaches to many-body dynamics far from equilibrium

134) Martin Eckstein, Marcus Kollar, and Philipp Werner
Interaction quench in the Hubbard model: Relaxation of the spectral function and the optical conductivity
Phys. Rev. B 81, 115131 (2010).

133) Philipp Werner, Takashi Oka, Martin Eckstein, and Andrew J. Millis
Weak-coupling quantum Monte Carlo calculations on the Keldysh contour: theory and application to the current-voltage characteristics of the Anderson model
Phys. Rev. B 81, 035108 (2010).

132) F.-J. Jiang
The Phase Transition of the Spin-1/2 Heisenberg Model with a Spatially Staggered Anisotropy on the Square Lattice

131) T. A. Corcovilos, S. K. Baur, J. M. Hitchcock, E. J. Mueller, and R. G. Hulet
Detecting antiferromagnetism of atoms in an optical lattice via optical Bragg scattering
Phys. Rev. A 81, 013415 (2010).

130) Michael Knap, Enrico Arrigoni, and Wolfgang von der Linden
Spectral properties of strongly correlated bosons in two dimensional optical lattices
Phys. Rev. B 81, 024301 (2010).

129) Emanuel Gull, Olivier Parcollet, Philipp Werner, and Andrew J. Millis
Momentum-sector-selective metal-insulator transition in the eight-site dynamical mean-field approximation to the Hubbard model in two dimensions
Phys. Rev. B 80, 245102 (2009).

128) Nan Lin, Emanuel Gull, and A. J. Millis
Optical conductivity in cluster dynamical mean field theory: formalism and application to high temperature superconductors

127) Ching-Kit Chan, Philipp Werner, and Andrew J. Millis
Magnetism and orbital-ordering in an interacting three band model: a dynamical mean field study

126) Alessandro Sfondrini, Javier Cerrillo, Norbert Schuch, and J. Ignacio Cirac
Simulating two- and three-dimensional frustrated quantum systems with string-bond states

125) Andreas Läuchli and Philipp Werner
Krylov-implementation of the hybridization expansion impurity solver and application to 5-orbital models
Phys. Rev. B 80, 235117 (2009).

124) O. Janson, W. Schnelle, M. Schmidt, Yu. Prots, S.-L. Drechsler, S. K. Filatov, and H. Rosner
Electronic structure and magnetic properties of the spin-1/2 Heisenberg system CuSe2O5'

123) Hitesh J. Changlani, Jesse M. Kinder, Cyrus J. Umrigar, and Garnet Kin-Lic Chan
Approximating strongly correlated spin and fermion wavefunctions with correlator product states
Phys. Rev. B 80, 245116 (2009).

122) A. Honecker and S. Wessel
Magnetocaloric effect in quantum spin-s chains
Condensed Matter Physics 12, 399 (2009).

121) Ryo Igarashi and Masao Ogata
Partial order in a frustrated Potts model

120) Giuliano Orso, Evgeni Burovski, and Thierry Jolicoeur
Luttinger liquid of trimers in Fermi gases with unequal masses
Phys. Rev. Lett. 104, 065301 (2010).

119) E. Kozik, K. Van Houcke, E. Gull, L. Pollet, N. Prokof'ev, B. Svistunov, and M. Troyer
Diagrammatic Monte Carlo for the Hubbard Model

118) Alexander A. Tsirlin, Burkhard Schmidt, Yurii Skourski, Ramesh Nath, Christoph Geibel, and Helge Rosner
Exploring the spin-1/2 frustrated square lattice model with high-field magnetization measurements

117) David Schwandt, Fabien Alet, Sylvain Capponi
Quantum Monte Carlo simulations of fidelity at magnetic quantum phase transitions
Phys. Rev. Lett 103, 170501 (2009).

116) F.-J. Jiang and U. Gerber
Subtlety of Determining the Critical Exponent $\nu$ of the Spin-1/2 Heisenberg Model with a Spatially Staggered Anisotropy on the Honeycomb Lattice

115) L. Pollet, J. D. Picon, H.P. Buechler, and M. Troyer
Supersolid phase with cold polar molecules on a triangular lattice
Phys. Rev. Lett. 104, 125302 (2010).

114) C. Gils, S. Trebst, A. Kitaev, A. Ludwig, M. Troyer, and Z. Wang
Topology driven quantum phase transitions in time-reversal invariant anyonic quantum liquids

113) Vinay Ambegaokar and Matthias Troyer
Estimating errors reliably in Monte Carlo simulations of the Ehrenfest model
Am. J. Phys. 78, 150 (2010).

112) A. Ferreira, J. M. B. Lopes dos Santos
Emergence of robust gaps in 2D antiferromagnets via additional spin-1/2 probes

111) M. Schmitt, O. Janson, M. Schmidt, S. Hoffmann, W. Schnelle, S.-L. Drechsler, H. Rosner
Crystal water induced switching of magnetically active orbitals in CuCl2

110) E.M. Stoudenmire, Simon Trebst, and Leon Balents
Quadrupolar correlations and spin freezing in S = 1 triangular lattice antiferromagnets
Phys. Rev. B 79, 214436 (2009).

109) Lincoln D. Carr, David DeMille, Roman V. Krems, and Jun Ye
Cold and Ultracold Molecules: Science, Technology, and Applications
New J. Phys. 11, 055049 (2009).

108) J. Kuneš, Dm. M. Korotin, M. A. Korotin, V. I. Anisimov, and P. Werner
Pressure-Driven Metal-Insulator Transition in Hematite from Dynamical Mean-Field Theory
Phys. Rev. Lett. 102, 146402 (2009).

107) E Collin, B Canals, J-C Anglès d'Auriac and H Godfrin
Finite size effects in ferromagnetic 3He nano-clusters
J. Phys.: Conf. Ser. 150, 042018 (2009).

106) Peter Pippan, Hans Gerd Evertz, and Martin Hohenadler
Dynamics of strongly correlated lattice bosons and polaritons in one dimension
Phys. Rev. A 80, 033612 (2009).

105) Evgeni Burovski, Giuliano Orso, and Thierry Jolicoeur
Multi-particle composites in density-imbalanced quantum fluids
Phys. Rev. Lett. 103, 215301 (2009).

104) Martin Eckstein, Marcus Kollar, and Philipp Werner
Dynamical phase transition in correlated fermionic lattice systems
Phys. Rev. Lett. 103, 056403 (2009).

103) R. L. Doretto and Matthias Vojta
Quantum magnets with weakly confined spinons: Multiple length scales and quantum impurities
Phys. Rev. B 80, 024411 (2009).

102) Philipp Werner, Emanuel Gull, Olivier Parcollet, Andrew J. Millis
Two-stage metal-insulator transition in the 2D Hubbard model: momentum selectivity in the 8-site dynamical cluster approximation
Phys. Rev. B 80, 045120 (2009).

101) Gang Chen, Jan Gukelberger, Simon Trebst, Fabien Alet, and Leon Balents
Coulomb gas transitions in three-dimensional classical dimer models
Phys. Rev. B 80, 045112 (2009).

100) L. Pollet, N.V. Prokof'ev, B. V. Svistunov, and M. Troyer
Absence of a Direct Superfluid to Mott Insulator Transition in Disordered Bose Systems
Phys. Rev. Lett. 103, 140402 (2009).

99) F. Heidrich-Meisner, G.B. Martins, C.A. Buesser, K.A. Al-Hassanieh, A.E. Feiguin, G. Chiappe, E.V. Anda, and E. Dagotto
Transport through quantum dots: a combined DMRG and embedded-cluster approximation study
Eur. Phys. J. B 67, 527 (2009).

98) A. Honecker, O. Derzhko, J. Richter
Ground-state degeneracy and low-temperature thermodynamics of correlated electrons on highly frustrated lattices
Physica B 404, 3316 (2009).

97) F. J. Jiang, F. Kämpfer, and M. Nyfeler
Monte Carlo Determination of the Low-Energy Constants of a Spin 1/2 Heisenberg Model with Spatial Anisotropy

96) G. Alvarez
The Density Matrix Renormalization Group for Strongly Correlated Electron Systems: A Generic Implementation

95) Charlotte Gils
Ashkin-Teller universality in a quantum double model of Ising anyons
J. Stat. Mech. P07019 (2009).

94) Alexander A. Tsirlin and Helge Rosner
Extension of the spin-1/2 frustrated square lattice model: the case of layered vanadium phosphates
Phys. Rev. B 79, 214417 (2009).

93) Z. Cai, W.B. Lu, and Y.J. Liu
Effects of the staggered Dzyaloshinskii-Moriya interaction on entanglement in antiferromagnetic Heisenberg chain
Acta Physica Sinica 57, 7267 (2008).

92) A. Niazi, et al.
Single Crystal Growth, Crystallography, Magnetic Susceptibility, Heat Capacity, and Thermal Expansion of the Antiferromagnetic S=1 Chain Compound CaV2O4
Phys. Rev. B 79, 104432 (2009).

91) Daisuke Yamamoto
Correlated cluster mean-field theory for spin systems
Phys. Rev. B 79, 144427 (2009).

90) K. S. D. Beach, Fabien Alet, Matthieu Mambrini, Sylvain Capponi
The SU(N) Heisenberg model on the square lattice: a continuous-N quantum Monte Carlo study
Phys. Rev. B 80, 184401 (2009).

89) Andreas Lüscher and Andreas Läuchli
The antiferromagnetic spin-1/2 Heisenberg model on the square lattice in a magnetic field
Phys. Rev. B 79, 195102 (2009).

88) Oliver Pieper, et al.
Magnetic Structure and Interactions in the Quasi-1D Antiferromagnet CaV2O4
Phys. Rev. B 79, 180409(R) (2009).

87) Philipp Werner, Emanuel Gull, Andrew J. Millis
Metal-Insulator phase diagram and orbital selectivity in 3-orbital models with rotationally invariant Hund coupling
Phys. Rev. B 79, 115119 (2009).

86) Brent C. Melot, Katharine Page, Ram Seshadri, E.M. Stoudenmire, Leon Balents, Doron L. Bergman, Thomas Proffen
Tuning magnetic frustration on the diamond lattice of the A-site magnetic spinels CoAl2-xGaxO4: Lattice expansion versus site disorder

85) A. Fabricio Albuquerque, Chris J. Hamer, Jaan Oitmaa
Quantum Phase Diagram and Excitations for the One-Dimensional S=1 Heisenberg Antiferromagnet with Single-Ion Anisotropy
Phys. Rev. B 79, 054412 (2009).

84) Philipp Werner, Takashi Oka, Andrew J. Millis
Diagrammatic Monte Carlo simulation of non-equilibrium systems
Phys. Rev. B 79, 035320 (2009).

83) C. Gils, E. Ardonne, S. Trebst, A. W. W. Ludwig, M. Troyer, Z. Wang
Collective States of Interacting Anyons, Edge States, and the Nucleation of Topological Liquids
Phys. Rev. Lett. 103, 070401 (2009).

82) Keisuke Matsuda, Shin Miyahara, and Nobuo Furukawa
Projection Method for Exact Diagonalization in the Strong Coupling Limit for Frustrated Models with Highly Degenerate Ground States
J. Phys. Soc. Jpn. 77, 085002 (2008).

81) Stefan Wessel
Mixed columnar-plaquette phase of hard-core bosons and its quantum melting
Phys. Rev. B 78, 075112 (2008).

80) Sandro Wenzel and Wolfhard Janke
Monte Carlo simulations of the directional-ordering transition in the two-dimensional classical and quantum compass model
Phys. Rev. B 78, 064402 (2008).

79) O. Zaharko, et al.
Structural and magnetic aspects of the nanotube system Na2-xV3O7
Phys. Rev. B 78, 214426 (2008).

78) B. Thielemann, et al.
Field-controlled magnetic order in the quantum spin-ladder system (Hpip)(2)CuBr4
Phys. Rev. B 79, 020408 (2009).

77) Ping Nang Ma, Kai Yu Yang, Lode Pollet, J. V. Porto, Matthias Troyer, and Fu Chun Zhang
Influence of the trap shape on the detection of the superfluid—Mott-insulator transition
Phys. Rev. A 78, 023605 (2008).

76) Zi Yang Meng and Stefan Wessel
Phases and magnetization process of an anisotropic Shastry-Sutherland model
Phys. Rev. B 78, 224416 (2008).

75) V.W. Scarola, K.B. Whaley, M. Troyer
Thermal Canting of Spin-Bond Order
Phys. Rev. B 79, 085113 (2009).

74) Daisuke Yamamoto, Synge Todo, Susumu Kurihara
Green's function theory for spin-1/2 ferromagnets with an easy-plane exchange anisotropy
Phys. Rev. B 78, 024440 (2008).

73) G. Roux, S. Capponi, P. Lecheminant, P. Azaria
Spin 3/2 fermions with attractive interactions in a one-dimensional optical lattice: phase diagrams, entanglement entropy, and effect of the trap
Eur. Phys. J. B (2008).

72) Synge Todo and Akira Shibasaki
Improved chain mean-field theory for quasi-one-dimensional quantum magnets
Phys. Rev. B 78, 224411 (2008).

71) A. Fabricio Albuquerque, Matthias Troyer, Jaan Oitmaa
Quantum Phase Transition in a Heisenberg Antiferromagnet on a Square Lattice with Strong Plaquette Interactions
Phys. Rev. B 78, 132402 (2008).

70) J.-D. Picon, A. F. Albuquerque, K. P. Schmidt, N. Laflorencie, M. Troyer, F. Mila
Mechanisms for Spin-Supersolidity in S=1/2 Spin-Dimer Antiferromagnets
Phys. Rev. B 78, 184418 (2008).

69) G. Pawlowski
Quantum spin system with on-site exchange in a magnetic field
Materials Science-Poland 25, 565 (2007)..

68) Philipp Werner, Emanuel Gull, Matthias Troyer, Andrew J. Millis
Spin freezing transition in a 3-orbital model: non-Fermi-liquid self energy and possible implications for the optical conductivity of SrRuO3
Phys. Rev. Lett. 101, 166405 (2008).

67) Gang Chen and Leon Balents
Spin-orbit effects in Na4Ir3O8, a hyper-kagome lattice antiferromagnet
Phys. Rev. B 78, 094403 (2008).

66) D. Charrier, F. Alet, P. Pujol
Gauge theory picture of an ordering transition in a dimer model
Phys. Rev. Lett. 101, 167205 (2008).

65) Emanuel Gull, Philipp Werner, Matthias Troyer, A. J. Millis
Local Order and the gapped phase of the Hubbard model: a plaquette dynamical mean field investigation
EPL 84, 37009 (2008).

64) Matthias Troyer, Simon Trebst, Kirill Shtengel, and Chetan Nayak
Local interactions and non-Abelian quantum loop gases
Phys. Rev. Lett. 101, 230401 (2008).

63) K.P. Schmidt, J. Dorier, and A.M. Läuchli
Solids and supersolids of three-body interacting polar molecules in an optical lattice
Phys. Rev. Lett. 101, 150405 (2008).

62) D. N. Sheng, Olexei I. Motrunich, Simon Trebst, Emanuel Gull, and Matthew P.A. Fisher
Strong-Coupling Phases of Frustrated Bosons on a 2-leg Ladder with Ring Exchange
Phys. Rev. B 78, 054520 (2008).

61) Gregoire Misguich, Vincent Pasquier, and Fabien Alet
Correlations and order parameter at a Coulomb-crystal phase transition
Phys. Rev. B 78, 100402(R) (2008).

60) G.J. Nielsen, H.M. Ronnow, A.M. Läuchli, F.P.A. Fabbiani, J. Sanchez-Benitez, K.V. Kamenev, and A. Harrison
A new realisation of the S=1/2 frustrated chain antiferromagnet
Chem. Mater. 20, 8 (2008).

59) Emanuel Gull, Philipp Werner, Olivier Parcollet, and Matthias Troyer
Continuous-time auxiliary field Monte Carlo for quantum impurity models
EPL 82, 57003 (2008).

58) Kouki Fukui and Synge Todo
Order-N Cluster Monte Carlo Method for Spin Systems with Long-range Interactions
J. Comp. Phys. 228, 2629 (2009).

57) Austen Lamacraft and Paul Fendley
Order parameter statistics in the critical quantum Ising chain
Phys. Rev. Lett. 100, 165706 (2008).

56) S. Trebst, E. Ardonne, A. Feiguin, D. A. Huse, A. W. W. Ludwig, M. Troyer
Collective States of Interacting Fibonacci Anyons
Phys. Rev. Lett. 101, 050401 (2008).

55) A.N. Rudenko, V.V. Mazurenko, V.I. Anisimov, and A.I. Lichtenstein
Weak ferromagnetism in Mn nanochains on the CuN surface

54) Andreas Honecker and Josef Schüle
OpenMP Implementation of the Householder Reduction for Large Complex Hermitian Eigenvalue Problems
pp. 271-278 in NIC Series Volume 38: C. Bischof et al. (Eds.) (2007).

53) S. Demeshko, G. Leibeling, S. Dechert, S. Fuchs, T. Pruschke, and F. Meyer
Alternating Spin Chains: Controlled Assembly from Bimetallic Building Blocks and QMC Simulation of Spin Correlation
ChemPhysChem 8, 405 (2007).

52) Siegfried Guertler, Matthias Troyer, and Fu-Chun Zhang
Quantum Monte Carlo study of a two-species bosonic Hubbard model
Phys. Rev. B 77, 184505 (2008).

51) Andreas Läuchli, Sylvain Capponi, and Fakher F. Assaad
Dynamical dimer correlations at bipartite and non-bipartite Rokhsar-Kivelson points
J. Stat. Mech. P01010 (2008).

50) Ping Nang Ma, Lode Pollet, Matthias Troyer, Fu Chun Zhang
A classical picture of the role of vacancies and interstitials in Helium-4
J. Low Temp. Phys. 152, 156 (2008).

49) S. Wessel, N. Stoop, E. Gull, S. Trebst, M. Troyer
Optimized Broad-Histogram Ensembles for the Simulation of Quantum Systems
J. Stat. Mech. P12005 (2007).

48) D.V.Dmitriev and V.Ya.Krivnov
Weakly anisotropic frustrated zigzag spin chain
Phys. Rev. B 77, 024401 (2008).

47) Simon Anders, Hans J. Briegel, Wolfgang Dür
A variational method based on weighted graph states
New J. Phys. 9, 361 (2007).

46) A. Fabricio Albuquerque, Helmut G. Katzgraber, Matthias Troyer, and Gianni Blatter
Engineering exotic phases for topologically-protected quantum computation by emulating quantum dimer models
Phys. Rev. B 78, 014503 (2008).

45) Franz Michel and Hans-Gerd Evertz
Lattice dynamics of the Heisenberg chain coupled to finite frequency bond phonons

44) C. Brünger, F. F. Assaad, S. Capponi, F. Alet, D. N. Aristov, and M. N. Kiselev
Spin Gap and String Order Parameter in the Ferromagnetic Spiral Staircase Heisenberg Ladder: A Quantum Monte Carlo Study
Phys. Rev. Lett. 100, 017202 (2008).

43) K.P. Schmidt, J. Dorier, A.M. Läuchli, and F. Mila
Supersolid phase induced by correlated hopping in spin-1/2 frustrated quantum magnets
Phys. Rev. Lett. 100, 090401 (2008).

42) Steven R. White and A.L. Chernyshev
Neel order in square and triangular lattice Heisenberg models
Phys. Rev. Lett. 99, 127004 (2007).

41) Stefan Wessel
Phase Diagram of Interacting Bosons on the Honeycomb Lattice
Phys. Rev. B 75, 174301 (2007).

40) S. Henning, F. Koermann, J. Kienert, S. Schwieger and W. Nolting
Green function theory versus Quantum Monte Carlo calculations for thin magnetic films
Phys. Rev. B 75, 214401 (2007).

39) Fa Wang, Ashvin Vishwanath, and Yong Baek Kim
Quantum and Classical Spins on the Spatially Distorted Kagome Lattice: Applications to Volborthite
Phys. Rev. B 76, 094421 (2007).

38) Philipp Werner and Andrew J. Millis
High-spin to low-spin and orbital polarization transitions in multiorbital Mott systems
Phys. Rev. Lett. 99, 126405 (2007).

37) Yoshitaka Maeda, Chisa Hotta, Masaki Oshikawa
Universal temperature dependence of the magnetization of gapped spin chains
Phys. Rev. Lett. 99, 057205 (2007).

36) Sergei L. Lukyanov and Philipp Werner
Resistively shunted Josephson junctions: QFT predictions versus MC results
J. Stat. Mech. P06002 (2007).

35) Fabien Alet, Sylvain Capponi, Nicolas Laflorencie, and Matthieu Mambrini
Valence Bond Entanglement Entropy
Phys. Rev. Lett. 99, 117204 (2007).

34) Philipp Werner and Andrew J. Millis
Efficient DMFT-simulation of the Holstein-Hubbard Model
Phys. Rev. Lett. 99, 146404 (2007).

33) Vassilis Tangoulis
Monte Carlo Studies of a MnII Molecular System with a 2D trellis layer coupled-ladder configuration
Chem. Phys. 332, 271 (2007).

32) A. Feiguin, S. Trebst, A. Ludwig, M. Troyer, A. Kitaev, Z. Wang, and M. Freedman
Interacting anyons in topological quantum liquids: The golden chain
Phys. Rev. Lett. 98, 160409 (2007).

31) Doron Bergman, Jason Alicea, Emanuel Gull, Simon Trebst, Leon Balents
Order by disorder and spiral spin liquid in frustrated diamond lattice antiferromagnets
Nature Physics 3, 487 (2007).

30) Zengo Tsuboi
A note on the high temperature expansion of the density matrix for the isotropic Heisenberg chain
Physica A 377, 95 (2007).

29) Philipp Werner and Andrew J. Millis
Doping-driven Mott transition in the one-band Hubbard model
Phys. Rev. B 75, 085108 (2007).

28) Emanuel Gull, Philipp Werner, Andrew J. Millis, and Matthias Troyer
Performance analysis of continuous-time solvers for quantum impurity models
Phys. Rev. B 76, 235123 (2007).

27) Karen Hallberg
New Trends in Density Matrix Renormalization
Adv. Phys. 55, 477 (2006).

26) Simon Trebst, Philipp Werner, Matthias Troyer, Kirill Shtengel, and Chetan Nayak
Breakdown of a topological phase: Quantum phase transition in a loop gas model with tension
Phys. Rev. Lett. 98, 070602 (2007).

25) Fabien Alet, Yacine Ikhlef, Jesper Lykke Jacobsen, Gregoire Misguich, and Vincent Pasquier
Classical dimers with aligning interactions on the square lattice
Phys. Rev. E 74, 041124 (2006).

24) K.P. Schmidt, J. Dorier, A. Läuchli, and F. Mila
Single-particle versus pair condensation of hard-core bosons with correlated hopping
Phys. Rev. B 74, 174508 (2006).

23) Corinna Kollath, Andreas Läuchli, and Ehud Altman
Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
Phys. Rev. Lett. 98, 180601 (2007).

22) Philipp Werner and Andrew J. Millis
Hybridization expansion impurity solver: General formulation and application to Kondo lattice and two-orbital models
Phys. Rev. B 74, 155107 (2006).

21) M. Lewenstein et al.
Ultracold atomic gases in optical lattices: Mimicking condensed matter physics and beyond
Advances in Physics 56, 243 (2007).

20) Synge Todo
Universal Reduction of Effective Coordination Number in the Quasi-One-Dimensional Ising Model
Phys. Rev. B 74, 104415 (2006).

19) Sergei L. Lukyanov and Philipp Werner
Universal scaling behavior of the single electron box in the strong tunneling limit
J. Stat. Mech. P11002 (2006).

18) B. Pedrini, S. Wessel, J.L. Gavilano, H.R. Ott, S.M. Kazakov and J. Karpinski
Quenching of the Haldane gap in LiVSi2O6 and related compounds
Eur. Phys. J. B 55, 219 (2007).

17) Gunnar Moller and R. Moessner
Artificial square ice and related dipolar nanoarrays
Phys. Rev. Lett. 96, 237202 (2006).

16) J. Wehr et al.
Disorder versus the Mermin-Wagner-Hohenberg Effect: From Classical Spin Systems to Ultracold Atomic Gases
Phys. Rev. B 74, 224448 (2006).

15) Fabien Alet et al.
Unconventional continuous phase transition in a three dimensional dimer model
Phys. Rev. Lett. 97, 030403 (2006).

14) O. Gygi et al.
Simulations of ultracold bosonic atoms in optical lattices with anharmonic traps
Phys. Rev. A 73, 063606 (2006).

13) Mohamad Al Hajj et al.
Parity law of the singlet-triplet gap in graphitic ribbons
Eur. Phys. J. B 51, 517 (2006).

12) Philipp Werner, Armin Comanac, Luca de’ Medici, Matthias Troyer, and Andrew J. Millis
A continuous-time solver for quantum impurity models
Phys. Rev. Lett. 97, 076405 (2006).

11) Reinhard M. Noack and Salvatore R. Manmana
Diagonalization- and Numerical Renormalization-Group-Based Methods for Interacting Quantum Systems
AIP Conf. Proc. 789, 93 (2005).

10) Philipp Werner, Gil Rafael, and Matthias Troyer
Simulation results for an interacting pair of resistively shunted Josephson junctions
J. Stat. Mech. P12003 (2005).

9) Simon Trebst et al.
d-wave resonating valence bond states of fermionic atoms in optical lattices
Phys. Rev. Lett. 96, 250402 (2006).

8) Zengo Tsuboi and Masahiro Shiroishi
High temperature expansion of emptiness formation probability for isotropic Heisenberg chain
J. Phys. A 38, L363 (2005).

7) Salvatore R. Manmana, Alejandro Muramatsu, and Reinhard M. Noack
Time evolution of one-dimensional Quantum Many Body Systems
AIP Conf. Proc. 789, 269 (2005).

6) Fabien Alet et al.
Interacting classical dimers on the square lattice
Phys. Rev. Lett. 94, 235702 (2005).

5) Johannes Richter, Jörg Schulenburg, and Andreas Honecker
Quantum Magnetism in Two Dimensions: From Semi-classical Néel Order to Magnetic Disorder
Lect. Notes Phys. 645, 85 (2004).

4) Omid Nohadani, Stefan Wessel, and Stephan Haas
Quantum Phase Transitions in Coupled Dimer Compounds
Phys. Rev. B 72, 024440 (2005).

3) Philipp Werner and Matthias Troyer
Effective charging energy of the single electron box
J. Stat. Mech. P01003 (2005).

2) Philipp Werner and Matthias Troyer
A cluster algorithm for resistively shunted Josephson junctions
Phys. Rev. Lett. 95, 060201 (2005).

1) Fabien Alet, Stefan Wessel, and Matthias Troyer
Generalized Directed Loop Method for Quantum Monte Carlo Simulations
Phys. Rev. E 71, 036706 (2005).

0) Subir Sachdev, Philipp Werner, and Matthias Troyer
Universal conductance of nanowires near the superconductor-metal quantum transition
Phys. Rev. Lett. 92, 237003 (2004).

Textbook references to the ALPS project

H. Gould, J. Tobochnik, and W. Christian
An Introduction to Computer Simulation Methods: Applications to Physical Systems,
Third Edition, Pearson/Addison-Wesley, San Francisco (2007).
(see page 718)