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Volumn 2009, Issue 9, 2009, Pages

Assessing the accuracy of projected entangled-pair states on infinite lattices

Author keywords

Frustrated systems (theory); Ladders and planes (theory); Other numerical approaches; Quantum phase transitions (theory); Spin chains

Indexed keywords


EID: 72449194887     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2009/09/P09006     Document Type: Article
Times cited : (35)

References (46)
  • 1
    • 3442895828 scopus 로고
    • Density matrix formulation for quantum renormalization groups
    • White S 1992 Density matrix formulation for quantum renormalization groups Phys. Rev. Lett. 69 2863
    • (1992) Phys. Rev. Lett. , vol.69 , Issue.19 , pp. 2863
    • White, S.1
  • 3
    • 0000807669 scopus 로고
    • Approximate diagonalization using the density-matrix renormalization- group method: A two-dimensional perspective
    • Liang S and Pang H 1994 Approximate diagonalization using the density-matrix renormalization-group method: a two-dimensional perspective Phys. Rev. B 49 9214
    • (1994) Phys. Rev. , vol.49 , Issue.13 , pp. 9214
    • Liang, S.1    Pang, H.2
  • 5
    • 4244095121 scopus 로고
    • Thermodynamic limit of density matrix renormalization
    • Östlund S and Rommer S 1995 Thermodynamic limit of density matrix renormalization Phys. Rev. Lett. 75 3537
    • (1995) Phys. Rev. Lett. , vol.75 , Issue.19 , pp. 3537
    • Östlund, S.1    Rommer, S.2
  • 6
    • 33645062947 scopus 로고    scopus 로고
    • Matrix product states represent ground states faithfully
    • Verstraete F and Cirac J I 2006 Matrix product states represent ground states faithfully Phys. Rev. B 73 094423
    • (2006) Phys. Rev. , vol.73 , Issue.9 , pp. 094423
    • Verstraete, F.1    Cirac, J.I.2
  • 8
    • 0032280191 scopus 로고    scopus 로고
    • A density matrix algorithm for 3d classical models
    • Nishino T and Okunishi K 1998 A density matrix algorithm for 3d classical models J. Phys. Soc. Japan 67 3066
    • (1998) J. Phys. Soc. Japan , vol.67 , Issue.9 , pp. 3066
    • Nishino, T.1    Okunishi, K.2
  • 9
    • 0000512245 scopus 로고    scopus 로고
    • Self-consistent tensor product variational approximation for 3D classical models
    • Nishino T, Okunushi K, Hieida Y, Maeshima N and Akutsu Y 2000 Self-consistent tensor product variational approximation for 3D classical models Nucl. Phys. B 575 504
    • (2000) Nucl. Phys. , vol.575 , Issue.3 , pp. 504
    • Nishino, T.1    Okunushi, K.2    Hieida, Y.3    Maeshima, N.4    Akutsu, Y.5
  • 12
    • 58149204392 scopus 로고    scopus 로고
    • Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
    • Jordan J, Orús R, Vidal G, Verstraete F and Cirac J I 2008 Classical simulation of infinite-size quantum lattice systems in two spatial dimensions Phys. Rev. Lett. 101 250602
    • (2008) Phys. Rev. Lett. , vol.101 , Issue.25 , pp. 250602
    • Jordan, J.1    Orús, R.2    Vidal, G.3    Verstraete, F.4    Cirac, J.I.5
  • 14
    • 0035395008 scopus 로고    scopus 로고
    • Vertical density matrix algorithm: A higher-dimensional numerical renormalization scheme based on the tensor product state ansatz
    • Maeshima N, Hieida Y, Akutsu Y, Nishino T and Okunishi K 2001 Vertical density matrix algorithm: a higher-dimensional numerical renormalization scheme based on the tensor product state ansatz Phys. Rev. E 64 016705
    • (2001) Phys. Rev. , vol.64 , Issue.1 , pp. 016705
    • Maeshima, N.1    Hieida, Y.2    Akutsu, Y.3    Nishino, T.4    Okunishi, K.5
  • 15
    • 0348162343 scopus 로고    scopus 로고
    • Stable optimization of a tensor product variational state
    • Gendiar A, Maeshima N and Nishino T 2003 Stable optimization of a tensor product variational state Prog. Theor. Phys. 110 691
    • (2003) Prog. Theor. Phys. , vol.110 , Issue.4 , pp. 691
    • Gendiar, A.1    Maeshima, N.2    Nishino, T.3
  • 16
    • 33746761113 scopus 로고    scopus 로고
    • Estimation of the magnetic critical exponent by tensor product variational approach
    • Gendiar A, Nishino T and Derian R 2005 Estimation of the magnetic critical exponent by tensor product variational approach Acta Phys. Slovaca 55 141
    • (2005) Acta Phys. Slovaca , vol.55 , Issue.2 , pp. 141
    • Gendiar, A.1    Nishino, T.2    Derian, R.3
  • 17
    • 33746663547 scopus 로고    scopus 로고
    • Variational treatment of the Shastry-Sutherland antiferromagnet using projected entangled pair states
    • Isacsson A and Syljuasen O F 2006 Variational treatment of the Shastry-Sutherland antiferromagnet using projected entangled pair states Phys. Rev. E 74 026701
    • (2006) Phys. Rev. , vol.74 , Issue.2 , pp. 026701
    • Isacsson, A.1    Syljuasen, O.F.2
  • 18
    • 33947217528 scopus 로고    scopus 로고
    • Variational study of hard-core bosons in a two-dimensional optical lattice using projected entangled-pair states
    • Murg V, Verstraete F and Cirac J I 2007 Variational study of hard-core bosons in a two-dimensional optical lattice using projected entangled-pair states Phys. Rev. A 75 033605
    • (2007) Phys. Rev. , vol.75 , Issue.3 , pp. 033605
    • Murg, V.1    Verstraete, F.2    Cirac, J.I.3
  • 19
    • 66749110522 scopus 로고    scopus 로고
    • Numerical study of the hard-core Bose-Hubbard model on an infinite square lattice
    • Jordan J, Orús R and Vidal G 2009 Numerical study of the hard-core Bose-Hubbard model on an infinite square lattice Phys. Rev. B 79 174515
    • (2009) Phys. Rev. , vol.79 , Issue.17 , pp. 174515
    • Jordan, J.1    Orús, R.2    Vidal, G.3
  • 20
    • 61349099559 scopus 로고    scopus 로고
    • First order phase transition in the anisotropic quantum orbital compass model
    • Orús R, Doherty A C and Vidal G 2009 First order phase transition in the anisotropic quantum orbital compass model Phys. Rev. Lett. 102 077203
    • (2009) Phys. Rev. Lett. , vol.102 , Issue.7 , pp. 077203
    • Orús, R.1    Doherty, A.C.2    Vidal, G.3
  • 22
    • 67649124890 scopus 로고    scopus 로고
    • Exploring frustrated spin systems using projected entangled pair states (PEPS)
    • Murg V, Verstraete F and Cirac J I 2009 Exploring frustrated spin systems using projected entangled pair states (PEPS) Phys. Rev. B 79 195119
    • (2009) Phys. Rev. , vol.79 , Issue.19 , pp. 195119
    • Murg, V.1    Verstraete, F.2    Cirac, J.I.3
  • 23
    • 57249105556 scopus 로고    scopus 로고
    • Tensor-entanglement renormalization group approach to 2d quantum systems
    • Gu Z-C, Levin M and Wen X-G 2008 Tensor-entanglement renormalization group approach to 2d quantum systems Phys. Rev. B 78 205116
    • (2008) Phys. Rev. , vol.78 , Issue.20 , pp. 205116
    • Gu, Z.-C.1    Levin, M.2    Wen, X.-G.3
  • 24
    • 50849087740 scopus 로고    scopus 로고
    • Accurate determination of tensor network state of quantum lattice models in two dimensions
    • Jiang H C, Weng Z Y and Xiang T 2008 Accurate determination of tensor network state of quantum lattice models in two dimensions Phys. Rev. Lett. 101 090603
    • (2008) Phys. Rev. Lett. , vol.101 , Issue.9 , pp. 090603
    • Jiang, H.C.1    Weng, Z.Y.2    Xiang, T.3
  • 26
    • 36549074539 scopus 로고    scopus 로고
    • Entanglement renormalization
    • Vidal G 2007 Entanglement renormalization Phys. Rev. Lett. 99 220405
    • (2007) Phys. Rev. Lett. , vol.99 , Issue.22 , pp. 220405
    • Vidal, G.1
  • 27
    • 38849113308 scopus 로고    scopus 로고
    • Simulation of quantum many-body systems with strings of operators and Monte Carlo tensor contractions
    • Schuch N, Wolf M M, Verstraete F and Cirac J I 2008 Simulation of quantum many-body systems with strings of operators and Monte Carlo tensor contractions Phys. Rev. Lett. 100 040501
    • (2008) Phys. Rev. Lett. , vol.100 , Issue.4 , pp. 040501
    • Schuch, N.1    Wolf, M.M.2    Verstraete, F.3    Cirac, J.I.4
  • 28
    • 70349431288 scopus 로고    scopus 로고
    • Ground-state properties of quantum many-body systems: Entangled-plaquette states and variational Monte Carlo
    • Mezzacapo F, Schuch N, Boninsegni M and Cirac J I 2009 Ground-state properties of quantum many-body systems: entangled-plaquette states and variational Monte Carlo New J. Phys. 11 083026
    • (2009) New J. Phys. , vol.11 , Issue.8 , pp. 083026
    • Mezzacapo, F.1    Schuch, N.2    Boninsegni, M.3    Cirac, J.I.4
  • 29
    • 34147120121 scopus 로고    scopus 로고
    • Computational complexity of projected entangled pair states
    • Schuch N, Wolf M M, Verstraete F and Cirac J I 2007 Computational complexity of projected entangled pair states Phys. Rev. Lett. 98 140506
    • (2007) Phys. Rev. Lett. , vol.98 , Issue.14 , pp. 140506
    • Schuch, N.1    Wolf, M.M.2    Verstraete, F.3    Cirac, J.I.4
  • 30
    • 62149122027 scopus 로고    scopus 로고
    • Tensor-product representations for string-net condensed states
    • Gu Z-C, Levin M, Swingle B and Wen X-G 2009 Tensor-product representations for string-net condensed states Phys. Rev. B 79 085118
    • (2009) Phys. Rev. , vol.79 , Issue.8 , pp. 085118
    • Gu, Z.-C.1    Levin, M.2    Swingle, B.3    Wen, X.-G.4
  • 31
    • 62149147189 scopus 로고    scopus 로고
    • Explicit tensor network representation for the ground states of string-net models
    • Buerschaper O, Aguado M and Vidal G 2009 Explicit tensor network representation for the ground states of string-net models Phys. Rev. B 79 085119
    • (2009) Phys. Rev. , vol.79 , Issue.8 , pp. 085119
    • Buerschaper, O.1    Aguado, M.2    Vidal, G.3
  • 32
    • 0030547133 scopus 로고    scopus 로고
    • Corner transfer matrix renormalization group method
    • Nishino T and Okunishi K 1996 Corner transfer matrix renormalization group method J. Phys. Soc. Japan 65 891
    • (1996) J. Phys. Soc. Japan , vol.65 , Issue.4 , pp. 891
    • Nishino, T.1    Okunishi, K.2
  • 33
    • 55349127399 scopus 로고    scopus 로고
    • Infinite time-evolving block decimation algorithm beyond unitary evolution
    • Orús R and Vidal G 2008 Infinite time-evolving block decimation algorithm beyond unitary evolution Phys. Rev. B 78 155117
    • (2008) Phys. Rev. , vol.78 , Issue.15 , pp. 155117
    • Orús, R.1    Vidal, G.2
  • 34
    • 19744374448 scopus 로고    scopus 로고
    • Matrix product density operators: Simulation of finite-temperature and dissipative systems
    • Verstraete F, García-Ripoll J J and Cirac J I 2004 Matrix product density operators: simulation of finite-temperature and dissipative systems Phys. Rev. Lett. 93 207204
    • (2004) Phys. Rev. Lett. , vol.93 , Issue.20 , pp. 207204
    • Verstraete, F.1    García-Ripoll, J.J.2    Cirac, J.I.3
  • 35
    • 4244036883 scopus 로고
    • Fractal decomposition of exponential operators with applications to many-body theories and Monte Carlo simulations
    • Suzuki M 1990 Fractal decomposition of exponential operators with applications to many-body theories and Monte Carlo simulations Phys. Lett. A 146 319
    • (1990) Phys. Lett. , vol.146 , Issue.6 , pp. 319
    • Suzuki, M.1
  • 36
    • 5344261317 scopus 로고
    • Theory of first-order phase transitions
    • Binder K 1987 Theory of first-order phase transitions Rep. Prog. Phys. 50 783
    • (1987) Rep. Prog. Phys. , vol.50 , Issue.7 , pp. 783
    • Binder, K.1
  • 37
    • 33745048079 scopus 로고    scopus 로고
    • The ALPS project: Open source software for strongly correlated systems
    • Alet F et al 2005 The ALPS project: open source software for strongly correlated systems J. Phys. Soc. Jpn. Suppl. 74 30
    • (2005) J. Phys. Soc. Jpn. Suppl. , vol.74 , pp. 30
    • Alet, F.1
  • 38
    • 33847298662 scopus 로고    scopus 로고
    • The ALPS project release 1.3: Open-source software for strongly correlated systems
    • Albuquerque A F et al 2007 The ALPS project release 1.3: open-source software for strongly correlated systems J. Magn. Magn. Mater. 310 1187
    • (2007) J. Magn. Magn. Mater. , vol.310 , Issue.2 , pp. 1187
    • Albuquerque, A.F.1
  • 39
    • 0036496721 scopus 로고    scopus 로고
    • Numerical study of the spin-flop transition in anisotropic spin- antiferromagnets
    • Yunoki S 2002 Numerical study of the spin-flop transition in anisotropic spin- antiferromagnets Phys. Rev. B 65 092402
    • (2002) Phys. Rev. , vol.65 , Issue.9 , pp. 092402
    • Yunoki, S.1
  • 40
    • 0000987427 scopus 로고    scopus 로고
    • Finite-size scaling of the ground-state parameters of the two-dimensional Heisenberg model
    • Sandvik A W 1997 Finite-size scaling of the ground-state parameters of the two-dimensional Heisenberg model Phys. Rev. B 56 11678
    • (1997) Phys. Rev. , vol.56 , Issue.18 , pp. 11678
    • Sandvik, A.W.1
  • 41
    • 0001224786 scopus 로고    scopus 로고
    • Ground-state parameters, finite-size scaling, and low-temperature properties of the two-dimensional S = 1/2 XY model
    • Sandvik A W 1999 Ground-state parameters, finite-size scaling, and low-temperature properties of the two-dimensional S = 1/2 XY model Phys. Rev. B 60 6588
    • (1999) Phys. Rev. , vol.60 , Issue.9 , pp. 6588
    • Sandvik, A.W.1
  • 43
    • 0037156919 scopus 로고    scopus 로고
    • Finite-temperature phase diagram of hard-core bosons in two dimensions
    • Schmid G, Todo S, Troyer M and Dorneich A 2002 Finite-temperature phase diagram of hard-core bosons in two dimensions Phys. Rev. Lett. 88 167208
    • (2002) Phys. Rev. Lett. , vol.88 , Issue.16 , pp. 167208
    • Schmid, G.1    Todo, S.2    Troyer, M.3    Dorneich, A.4
  • 44
    • 52949114969 scopus 로고    scopus 로고
    • Evidence for an unconventional universality class from a two-dimensional dimerized quantum Heisenberg model
    • Wenzel S, Bogacz L and Janke W 2008 Evidence for an unconventional universality class from a two-dimensional dimerized quantum Heisenberg model Phys. Rev. Lett. 101 127202
    • (2008) Phys. Rev. Lett. , vol.101 , Issue.12 , pp. 127202
    • Wenzel, S.1    Bogacz, L.2    Janke, W.3
  • 45
    • 0039552364 scopus 로고    scopus 로고
    • Quantum phase transitions of a square-lattice Heisenberg antiferromagnet with two kinds of nearest-neighbor bonds: A high-order coupled-cluster treatment
    • Krüger S E, Richter J, Schulenburg J, Farnell J J D and Bishop R F 2000 Quantum phase transitions of a square-lattice Heisenberg antiferromagnet with two kinds of nearest-neighbor bonds: a high-order coupled-cluster treatment Phys. Rev. B 61 14607
    • (2000) Phys. Rev. , vol.61 , Issue.21 , pp. 14607
    • Krüger, S.E.1    Richter, J.2    Schulenburg, J.3    Farnell, J.J.D.4    Bishop, R.F.5
  • 46
    • 0001548761 scopus 로고
    • Spin glass with non-random interactions
    • Villain J 1977 Spin glass with non-random interactions J. Phys. C: Solid State Phys. 10 1717
    • (1977) J. Phys. C: Solid State Phys. , vol.10 , Issue.10 , pp. 1717
    • Villain, J.1


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