Tensor network study of the m = 1/2 magnetization plateau in the Shastry-Sutherland model at finite temperature

Czarnik, Piotr Jan; Rams, Marek M.; Corboz, Philippe; Dziarmaga, Jacek

doi:10.1103/physrevb.103.075113

Title: Tensor network study of the m = 1/2 magnetization plateau in the Shastry-Sutherland model at finite temperature

Journal Article · Thu Feb 04 00:00:00 EST 2021 · Physical Review B

DOI:https://doi.org/10.1103/physrevb.103.075113· OSTI ID:1828716

^[1];

^[2]; Corboz, Philippe ^[3]; Dziarmaga, Jacek ^[2]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Jagiellonian Univ., Krakow (Poland)
Univ. of Amsterdam (Netherlands)

The two-dimensional infinite projected entangled pair state tensor network is evolved in imaginary time with the full update (FU) algorithm to simulate the Shastry-Sutherland model in a magnetic field at finite temperature directly in the thermodynamic limit. We focus on the phase transition into the m = 1/2 magnetization plateau, which was observed in experiments on SrCu₂(BO₃)₂. For the largest simulated bond dimension, the early evolution in the high-temperature regime is simulated with the simple update (SU) scheme and then, as the correlation length increases, continued with the FU scheme towards the critical regime. We apply a small symmetry-breaking bias field and then extrapolate towards zero bias using a simple scaling theory in the bias field. The combined SU + FU scheme provides an accurate estimate of the critical temperature, even though the results could not be fully converged in the bond dimension in the vicinity of the transition. Here, the critical temperature estimate is improved with a generalized scaling theory that combines two divergent length scales: One due to the bias, and the other due to the finite bond dimension. The obtained results are consistent with the transition being in the universality class of the two-dimensional classical Ising model. The estimated critical temperature is 3.5(2) K, which is well above the temperature 2.1 K used in the experiments.

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Research Organization:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1828716

Report Number(s):: LA-UR-20-29946; TRN: US2216311

Journal Information:: Physical Review B, Vol. 103, Issue 7; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (102)

Incomplete Devil’s Staircase in the Magnetization Curve of ${SrCu}_{2} ({BO}_{3})_{2}$ Takigawa, M.; Horvatić, M.; Waki, T. Physical Review Letters, Vol. 110, Issue 6 https://doi.org/10.1103/PhysRevLett.110.067210	journal	February 2013
Theory of spin-density profile and lattice distortion in the magnetization plateaus of ${SrCu}_{2} {(B O}_{3})_{2}$ Miyahara, Shin; Becca, Federico; Mila, Frédéric Physical Review B, Vol. 68, Issue 2 https://doi.org/10.1103/PhysRevB.68.024401	journal	July 2003
Overcoming the sign problem at finite temperature: Quantum tensor network for the orbital $e_{g}$ model on an infinite square lattice Czarnik, Piotr; Dziarmaga, Jacek; Oleś, Andrzej M. Physical Review B, Vol. 96, Issue 1 https://doi.org/10.1103/PhysRevB.96.014420	journal	July 2017
Finite Correlation Length Scaling with Infinite Projected Entangled-Pair States Corboz, Philippe; Czarnik, Piotr; Kapteijns, Geert Physical Review X, Vol. 8, Issue 3 https://doi.org/10.1103/PhysRevX.8.031031	journal	July 2018
Finite Correlation Length Scaling in Lorentz-Invariant Gapless iPEPS Wave Functions Rader, Michael; Läuchli, Andreas M. Physical Review X, Vol. 8, Issue 3 https://doi.org/10.1103/PhysRevX.8.031030	journal	July 2018
Variational tensor network renormalization in imaginary time: Two-dimensional quantum compass model at finite temperature Czarnik, Piotr; Dziarmaga, Jacek; Oleś, Andrzej M. Physical Review B, Vol. 93, Issue 18 https://doi.org/10.1103/PhysRevB.93.184410	journal	May 2016
Magnetostriction and magnetic texture to 100.75 Tesla in frustrated SrCu2(BO3)2 Jaime, M.; Daou, R.; Crooker, S. A. Proceedings of the National Academy of Sciences, Vol. 109, Issue 31 https://doi.org/10.1073/pnas.1200743109	journal	July 2012
Emergent bound states and impurity pairs in chemically doped Shastry-Sutherland system Shi, Zhenzhong; Steinhardt, William; Graf, David Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-10410-x	journal	June 2019
Accurate Determination of Tensor Network State of Quantum Lattice Models in Two Dimensions Jiang, H. C.; Weng, Z. Y.; Xiang, T. Physical Review Letters, Vol. 101, Issue 9 https://doi.org/10.1103/PhysRevLett.101.090603	journal	August 2008
Unconventional magnetization plateaus in a Shastry-Sutherland spin tube Manmana, S. R.; Picon, J. -D.; Schmidt, K. P. EPL (Europhysics Letters), Vol. 94, Issue 6 https://doi.org/10.1209/0295-5075/94/67004	journal	June 2011
Simulation of interacting fermions with entanglement renormalization Corboz, Philippe; Evenbly, Glen; Verstraete, Frank Physical Review A, Vol. 81, Issue 1 https://doi.org/10.1103/PhysRevA.81.010303	journal	January 2010
Stripes in the two-dimensional $t$ - $J$ model with infinite projected entangled-pair states Corboz, Philippe; White, Steven R.; Vidal, Guifré Physical Review B, Vol. 84, Issue 4 https://doi.org/10.1103/PhysRevB.84.041108	journal	July 2011
Excitations and the tangent space of projected entangled-pair states Vanderstraeten, Laurens; Mariën, Michaël; Verstraete, Frank Physical Review B, Vol. 92, Issue 20 https://doi.org/10.1103/PhysRevB.92.201111	journal	November 2015
1/3 Magnetization Plateau in SrCu ₂ (BO ₃ ) ₂ - Stripe Order of Excited Triplets - Onizuka, Kenzo; Kageyama, Hiroshi; Narumi, Yasuo Journal of the Physical Society of Japan, Vol. 69, Issue 4 https://doi.org/10.1143/JPSJ.69.1016	journal	April 2000
A practical introduction to tensor networks: Matrix product states and projected entangled pair states Orús, Román Annals of Physics, Vol. 349 https://doi.org/10.1016/j.aop.2014.06.013	journal	October 2014
Competing Spin-Gap Phases in a Frustrated Quantum Spin System in Two Dimensions Takushima, Yoshihiro; Koga, Akihisa; Kawakami, Norio Journal of the Physical Society of Japan, Vol. 70, Issue 5 https://doi.org/10.1143/JPSJ.70.1369	journal	May 2001
Fermionic projected entangled pair states Kraus, Christina V.; Schuch, Norbert; Verstraete, Frank Physical Review A, Vol. 81, Issue 5 https://doi.org/10.1103/PhysRevA.81.052338	journal	May 2010
Novel Ordered Phases in the Orthogonal Dimer Spin System SrCu ₂ (BO ₃ ) ₂ Takigawa, Masashi; Waki, Takeshi; Horvatić, Mladen Journal of the Physical Society of Japan, Vol. 79, Issue 1 https://doi.org/10.1143/JPSJ.79.011005	journal	January 2010
Competing States in the $t$ - $J$ Model: Uniform $d$ -Wave State versus Stripe State Corboz, Philippe; Rice, T. M.; Troyer, Matthias Physical Review Letters, Vol. 113, Issue 4 https://doi.org/10.1103/PhysRevLett.113.046402	journal	July 2014
Coarse-graining renormalization by higher-order singular value decomposition Xie, Z. Y.; Chen, J.; Qin, M. P. Physical Review B, Vol. 86, Issue 4 https://doi.org/10.1103/PhysRevB.86.045139	journal	July 2012
Density matrix formulation for quantum renormalization groups White, Steven R. Physical Review Letters, Vol. 69, Issue 19 https://doi.org/10.1103/PhysRevLett.69.2863	journal	November 1992
The -magnetization plateau state in the 2D quantum antiferromagnet SrCu2(BO3)2: spin superstructure, phase transition, and spin dynamics studied by high-field NMR Takigawa, M.; Kodama, K.; Horvatić, M. Physica B: Condensed Matter, Vol. 346-347 https://doi.org/10.1016/j.physb.2004.01.014	journal	April 2004
Excitations with projected entangled pair states using the corner transfer matrix method Ponsioen, Boris; Corboz, Philippe Physical Review B, Vol. 101, Issue 19 https://doi.org/10.1103/PhysRevB.101.195109	journal	May 2020
Scaling of entanglement entropy in the (branching) multiscale entanglement renormalization ansatz Evenbly, G.; Vidal, G. Physical Review B, Vol. 89, Issue 23 https://doi.org/10.1103/PhysRevB.89.235113	journal	June 2014
Faster methods for contracting infinite two-dimensional tensor networks Fishman, M. T.; Vanderstraeten, L.; Zauner-Stauber, V. Physical Review B, Vol. 98, Issue 23 https://doi.org/10.1103/PhysRevB.98.235148	journal	December 2018
Finite-temperature symmetric tensor network for spin-1/2 Heisenberg antiferromagnets on the square lattice Poilblanc, Didier; Mambrini, Matthieu; Alet, Fabien SciPost Physics, Vol. 10, Issue 1 https://doi.org/10.21468/SciPostPhys.10.1.019	journal	January 2021
Gradient methods for variational optimization of projected entangled-pair states Vanderstraeten, Laurens; Haegeman, Jutho; Corboz, Philippe Physical Review B, Vol. 94, Issue 15 https://doi.org/10.1103/PhysRevB.94.155123	journal	October 2016
Competition between intermediate plaquette phases in ${SrCu}_{2}$ ( ${BO}_{3})_{2}$ under pressure Boos, C.; Crone, S. P. G.; Niesen, I. A. Physical Review B, Vol. 100, Issue 14 https://doi.org/10.1103/PhysRevB.100.140413	journal	October 2019
Optimized decimation of tensor networks with super-orthogonalization for two-dimensional quantum lattice models Ran, Shi-Ju; Li, Wei; Xi, Bin Physical Review B, Vol. 86, Issue 13 https://doi.org/10.1103/PhysRevB.86.134429	journal	October 2012
Crystals of Bound States in the Magnetization Plateaus of the Shastry-Sutherland Model Corboz, Philippe; Mila, Frédéric Physical Review Letters, Vol. 112, Issue 14 https://doi.org/10.1103/PhysRevLett.112.147203	journal	April 2014
Stripe order in the underdoped region of the two-dimensional Hubbard model Zheng, Bo-Xiao; Chung, Chia-Min; Corboz, Philippe Science, Vol. 358, Issue 6367 https://doi.org/10.1126/science.aam7127	journal	November 2017
Projected entangled pair states at finite temperature: Iterative self-consistent bond renormalization for exact imaginary time evolution Czarnik, Piotr; Dziarmaga, Jacek Physical Review B, Vol. 92, Issue 3 https://doi.org/10.1103/PhysRevB.92.035120	journal	July 2015
Quantum many-body simulations of the two-dimensional Fermi-Hubbard model in ultracold optical lattices Chen, Bin-Bin; Chen, Chuang; Chen, Ziyu Physical Review B, Vol. 103, Issue 4 https://doi.org/10.1103/PhysRevB.103.L041107	journal	January 2021
Linearized Tensor Renormalization Group Algorithm for the Calculation of Thermodynamic Properties of Quantum Lattice Models Li, Wei; Ran, Shi-Ju; Gong, Shou-Shu Physical Review Letters, Vol. 106, Issue 12 https://doi.org/10.1103/PhysRevLett.106.127202	journal	March 2011
Exact Dimer Ground State of the Two Dimensional Heisenberg Spin System ${SrCu}_{2} ({BO}_{3})_{2}$ Miyahara, Shin; Ueda, Kazuo Physical Review Letters, Vol. 82, Issue 18 https://doi.org/10.1103/PhysRevLett.82.3701	journal	May 1999
Magnetization plateaus of the Shastry-Sutherland model for ${SrCu}_{2} ({BO}_{3})_{2} :$ Spin-density wave, supersolid, and bound states Momoi, Tsutomu; Totsuka, Keisuke Physical Review B, Vol. 62, Issue 22 https://doi.org/10.1103/PhysRevB.62.15067	journal	December 2000
A quantum magnetic analogue to the critical point of water Jimenez, J. Larrea; Crone, S. P. G.; Fogh, E. Zenodo https://doi.org/10.5281/zenodo.4455612	dataset	January 2021
Magnetization plateaus as insulator-superfluid transitions in quantum spin systems Momoi, Tsutomu; Totsuka, Keisuke Physical Review B, Vol. 61, Issue 5 https://doi.org/10.1103/PhysRevB.61.3231	journal	February 2000
Magnetic Superstructure in the Two-Dimensional Quantum Antiferromagnet SrCu2(BO3)2 Kodama, K. Science, Vol. 298, Issue 5592 https://doi.org/10.1126/science.1075045	journal	October 2002
Microscopic mechanism for the $\frac{1}{8}$ magnetization plateau in SrCu $_{2}$ (BO $_{3}$ ) $_{2}$ Nemec, M.; Foltin, G. R.; Schmidt, K. P. Physical Review B, Vol. 86, Issue 17 https://doi.org/10.1103/PhysRevB.86.174425	journal	November 2012
Improved energy extrapolation with infinite projected entangled-pair states applied to the two-dimensional Hubbard model Corboz, Philippe Physical Review B, Vol. 93, Issue 4 https://doi.org/10.1103/PhysRevB.93.045116	journal	January 2016
Pressure dependence of the magnetization plateaus of ${SrCu}_{2} {({BO}_{3})}_{2}$ Schneider, David A.; Coester, Kris; Mila, Frédéric Physical Review B, Vol. 93, Issue 24 https://doi.org/10.1103/PhysRevB.93.241107	journal	June 2016
Fermionic multiscale entanglement renormalization ansatz Corboz, Philippe; Vidal, Guifré Physical Review B, Vol. 80, Issue 16 https://doi.org/10.1103/PhysRevB.80.165129	journal	October 2009
Time evolution of an infinite projected entangled pair state: An efficient algorithm Czarnik, Piotr; Dziarmaga, Jacek; Corboz, Philippe Physical Review B, Vol. 99, Issue 3 https://doi.org/10.1103/PhysRevB.99.035115	journal	January 2019
Theory of the orthogonal dimer Heisenberg spin model for SrCu ₂ (BO ₃ ) ₂ Miyahara, Shin; Ueda, Kazuo Journal of Physics: Condensed Matter, Vol. 15, Issue 9 https://doi.org/10.1088/0953-8984/15/9/201	journal	February 2003
Emergent spin-1 trimerized valence bond crystal in the spin- $\frac{1}{2}$ Heisenberg model on the star lattice Ran, Shi-Ju; Li, Wei; Gong, Shou-Shu Physical Review B, Vol. 97, Issue 7 https://doi.org/10.1103/PhysRevB.97.075146	journal	February 2018
Simulation of two-dimensional quantum systems on an infinite lattice revisited: Corner transfer matrix for tensor contraction Orús, Román; Vidal, Guifré Physical Review B, Vol. 80, Issue 9 https://doi.org/10.1103/PhysRevB.80.094403	journal	September 2009
Finite correlation length scaling with infinite projected entangled pair states at finite temperature Czarnik, Piotr; Corboz, Philippe Physical Review B, Vol. 99, Issue 24 https://doi.org/10.1103/PhysRevB.99.245107	journal	June 2019
Infinite projected entangled pair states algorithm improved: Fast full update and gauge fixing Phien, Ho N.; Bengua, Johann A.; Tuan, Hoang D. Physical Review B, Vol. 92, Issue 3 https://doi.org/10.1103/PhysRevB.92.035142	journal	July 2015
Theory of Magnetization Plateaux in the Shastry-Sutherland Model Dorier, J.; Schmidt, K. P.; Mila, F. Physical Review Letters, Vol. 101, Issue 25 https://doi.org/10.1103/PhysRevLett.101.250402	journal	December 2008
Corner Transfer Matrix Renormalization Group Method Nishino, Tomotoshi; Okunishi, Kouichi Journal of the Physical Society of Japan, Vol. 65, Issue 4 https://doi.org/10.1143/JPSJ.65.891	journal	April 1996
Entropy Scaling and Simulability by Matrix Product States Schuch, Norbert; Wolf, Michael M.; Verstraete, Frank Physical Review Letters, Vol. 100, Issue 3 https://doi.org/10.1103/PhysRevLett.100.030504	journal	January 2008
Time-dependent study of disordered models with infinite projected entangled pair states Hubig, Claudius; Cirac, J. Ignacio SciPost Physics, Vol. 6, Issue 3 https://doi.org/10.21468/SciPostPhys.6.3.031	journal	January 2019
Two-temperature scales in the triangular-lattice Heisenberg antiferromagnet Chen, Lei; Qu, Dai-Wei; Li, Han Physical Review B, Vol. 99, Issue 14 https://doi.org/10.1103/PhysRevB.99.140404	journal	April 2019
Magnetization Plateaus in the Shastry-Sutherland Model for SrCu ₂ (BO ₃ ) ₂ : Results of Fourth-Order Perturbation Expansion with a Low-Density Approximation Fukumoto, Yoshiyuki Journal of the Physical Society of Japan, Vol. 70, Issue 5 https://doi.org/10.1143/JPSJ.70.1397	journal	May 2001
Tensor network study of the Shastry-Sutherland model in zero magnetic field Corboz, Philippe; Mila, Frédéric Physical Review B, Vol. 87, Issue 11 https://doi.org/10.1103/PhysRevB.87.115144	journal	March 2013
Exact Dimer Ground State and Quantized Magnetization Plateaus in the Two-Dimensional Spin System ${SrCu}_{2} ({BO}_{3})_{2}$ Kageyama, H.; Yoshimura, K.; Stern, R. Physical Review Letters, Vol. 82, Issue 15 https://doi.org/10.1103/PhysRevLett.82.3168	journal	April 1999
Precise Extrapolation of the Correlation Function Asymptotics in Uniform Tensor Network States with Application to the Bose-Hubbard and XXZ Models Rams, Marek M.; Czarnik, Piotr; Cincio, Lukasz Physical Review X, Vol. 8, Issue 4 https://doi.org/10.1103/PhysRevX.8.041033	journal	November 2018
Direct Evidence for the Localized Single-Triplet Excitations and the Dispersive Multitriplet Excitations in ${SrCu}_{2} ({BO}_{3})_{2}$ Kageyama, H.; Nishi, M.; Aso, N. Physical Review Letters, Vol. 84, Issue 25 https://doi.org/10.1103/PhysRevLett.84.5876	journal	June 2000
Implementing global Abelian symmetries in projected entangled-pair state algorithms Bauer, B.; Corboz, P.; Orús, R. Physical Review B, Vol. 83, Issue 12 https://doi.org/10.1103/PhysRevB.83.125106	journal	March 2011
Class of Quantum Many-Body States That Can Be Efficiently Simulated Vidal, G. Physical Review Letters, Vol. 101, Issue 11 https://doi.org/10.1103/PhysRevLett.101.110501	journal	September 2008
Magnetization of ${SrCu}_{2} ({BO}_{3})_{2}$ in Ultrahigh Magnetic Fields up to 118 T Matsuda, Y. H.; Abe, N.; Takeyama, S. Physical Review Letters, Vol. 111, Issue 13 https://doi.org/10.1103/PhysRevLett.111.137204	journal	September 2013
Time evolution of many-body localized systems in two spatial dimensions Kshetrimayum, A.; Goihl, M.; Eisert, J. Physical Review B, Vol. 102, Issue 23 https://doi.org/10.1103/PhysRevB.102.235132	journal	December 2020
Real-Space Decoupling Transformation for Quantum Many-Body Systems Evenbly, G.; Vidal, G. Physical Review Letters, Vol. 112, Issue 22 https://doi.org/10.1103/PhysRevLett.112.220502	journal	June 2014
Density-matrix algorithms for quantum renormalization groups White, Steven R. Physical Review B, Vol. 48, Issue 14 https://doi.org/10.1103/PhysRevB.48.10345	journal	October 1993
Variational study of hard-core bosons in a two-dimensional optical lattice using projected entangled pair states Murg, V.; Verstraete, F.; Cirac, J. I. Physical Review A, Vol. 75, Issue 3 https://doi.org/10.1103/PhysRevA.75.033605	journal	March 2007
Optimized contraction scheme for tensor-network states Xie, Z. Y.; Liao, H. J.; Huang, R. Z. Physical Review B, Vol. 96, Issue 4 https://doi.org/10.1103/PhysRevB.96.045128	journal	July 2017
Variational approach to projected entangled pair states at finite temperature Czarnik, Piotr; Dziarmaga, Jacek Physical Review B, Vol. 92, Issue 3 https://doi.org/10.1103/PhysRevB.92.035152	journal	July 2015
Efficient quantum simulation for thermodynamics of infinite-size many-body systems in arbitrary dimensions Ran, Shi-Ju; Xi, Bin; Peng, Cheng Physical Review B, Vol. 99, Issue 20 https://doi.org/10.1103/PhysRevB.99.205132	journal	May 2019
Magnetization Process in the Shastry-Sutherland System SrCu ₂ (BO ₃ ) ₂ : Results of Third-Order Dimer Expansion Fukumoto, Yoshiyuki; Oguchi, Akihide Journal of the Physical Society of Japan, Vol. 69, Issue 5 https://doi.org/10.1143/JPSJ.69.1286	journal	May 2000
Fractalization drives crystalline states in a frustrated spin system Sebastian, S. E.; Harrison, N.; Sengupta, P. Proceedings of the National Academy of Sciences, Vol. 105, Issue 51 https://doi.org/10.1073/pnas.0804320105	journal	December 2008
Approximating Gibbs states of local Hamiltonians efficiently with projected entangled pair states Molnar, Andras; Schuch, Norbert; Verstraete, Frank Physical Review B, Vol. 91, Issue 4 https://doi.org/10.1103/PhysRevB.91.045138	journal	January 2015
Gapless Spin-Liquid Ground State in the $S = 1 / 2$ Kagome Antiferromagnet Liao, H. J.; Xie, Z. Y.; Chen, J. Physical Review Letters, Vol. 118, Issue 13 https://doi.org/10.1103/PhysRevLett.118.137202	journal	March 2017
Area laws and efficient descriptions of quantum many-body states Ge, Yimin; Eisert, Jens New Journal of Physics, Vol. 18, Issue 8 https://doi.org/10.1088/1367-2630/18/8/083026	journal	August 2016
Finite-temperature fidelity and von Neumann entropy in the honeycomb spin lattice with quantum Ising interaction Dai, Yan-Wei; Shi, Qian-Qian; Cho, Sam Young Physical Review B, Vol. 95, Issue 21 https://doi.org/10.1103/PhysRevB.95.214409	journal	June 2017
The density-matrix renormalization group in the age of matrix product states Schollwöck, Ulrich Annals of Physics, Vol. 326, Issue 1 https://doi.org/10.1016/j.aop.2010.09.012	journal	January 2011
A quantum magnetic analogue to the critical point of water Mila, Frederic Kavli Institute for Theoretical Physics https://doi.org/10.26081/k6j618	audiovisual	January 2020
Theory of network contractor dynamics for exploring thermodynamic properties of two-dimensional quantum lattice models Ran, Shi-Ju; Xi, Bin; Liu, Tao Physical Review B, Vol. 88, Issue 6 https://doi.org/10.1103/PhysRevB.88.064407	journal	August 2013
Area Laws in Quantum Systems: Mutual Information and Correlations Wolf, Michael M.; Verstraete, Frank; Hastings, Matthew B. Physical Review Letters, Vol. 100, Issue 7 https://doi.org/10.1103/PhysRevLett.100.070502	journal	February 2008
Effective Theory of Magnetization Plateaux in the Shastry-Sutherland Lattice Abendschein, A.; Capponi, S. Physical Review Letters, Vol. 101, Issue 22 https://doi.org/10.1103/PhysRevLett.101.227201	journal	November 2008
Unitary circuits for strongly correlated fermions Pineda, Carlos; Barthel, Thomas; Eisert, Jens Physical Review A, Vol. 81, Issue 5 https://doi.org/10.1103/PhysRevA.81.050303	journal	May 2010
Tensor network decompositions in the presence of a global symmetry Singh, Sukhwinder; Pfeifer, Robert N. C.; Vidal, Guifré Physical Review A, Vol. 82, Issue 5 https://doi.org/10.1103/PhysRevA.82.050301	journal	November 2010
Evaluation of time-dependent correlators after a local quench in iPEPS: hole motion in the t-J model Hubig, Claudius; Bohrdt, Annabelle; Knap, Michael SciPost Physics, Vol. 8, Issue 2 https://doi.org/10.21468/SciPostPhys.8.2.021	journal	January 2020
Tensor-entanglement renormalization group approach as a unified method for symmetry breaking and topological phase transitions Gu, Zheng-Cheng; Levin, Michael; Wen, Xiao-Gang Physical Review B, Vol. 78, Issue 20 https://doi.org/10.1103/PhysRevB.78.205116	journal	November 2008
Exact ground state of a quantum mechanical antiferromagnet Sriram Shastry, B.; Sutherland, Bill Physica B+C, Vol. 108, Issue 1-3 https://doi.org/10.1016/0378-4363(81)90838-X	journal	August 1981
Quantum phases of the Shastry-Sutherland antiferromagnet: Application to ${SrCu}_{2} ({BO}_{3})_{2}$ Chung, C. H.; Marston, J. B.; Sachdev, Subir Physical Review B, Vol. 64, Issue 13 https://doi.org/10.1103/PhysRevB.64.134407	journal	September 2001
Variational optimization with infinite projected entangled-pair states Corboz, Philippe Physical Review B, Vol. 94, Issue 3 https://doi.org/10.1103/PhysRevB.94.035133	journal	July 2016
Characterizing Topological Order by Studying the Ground States on an Infinite Cylinder Cincio, L.; Vidal, G. Physical Review Letters, Vol. 110, Issue 6 https://doi.org/10.1103/PhysRevLett.110.067208	journal	February 2013
Contraction of fermionic operator circuits and the simulation of strongly correlated fermions Barthel, Thomas; Pineda, Carlos; Eisert, Jens Physical Review A, Vol. 80, Issue 4 https://doi.org/10.1103/PhysRevA.80.042333	journal	October 2009
Exponential Thermal Tensor Network Approach for Quantum Lattice Models Chen, Bin-Bin; Chen, Lei; Chen, Ziyu Physical Review X, Vol. 8, Issue 3 https://doi.org/10.1103/PhysRevX.8.031082	journal	September 2018
Field dependence of the quantum ground state in the Shastry-Sutherland system SrCu ₂ (BO ₃ ) ₂ Levy, F.; Sheikin, I.; Berthier, C. EPL (Europhysics Letters), Vol. 81, Issue 6 https://doi.org/10.1209/0295-5075/81/67004	journal	February 2008
Quantum Phase Transitions in the Shastry-Sutherland Model for ${SrCu}_{2} ({BO}_{3})_{2}$ Koga, Akihisa; Kawakami, Norio Physical Review Letters, Vol. 84, Issue 19 https://doi.org/10.1103/PhysRevLett.84.4461	journal	May 2000
Simulation of strongly correlated fermions in two spatial dimensions with fermionic projected entangled-pair states Corboz, Philippe; Orús, Román; Bauer, Bela Physical Review B, Vol. 81, Issue 16 https://doi.org/10.1103/PhysRevB.81.165104	journal	April 2010
Fermionic projected entangled pair states at finite temperature Czarnik, Piotr; Dziarmaga, Jacek Physical Review B, Vol. 90, Issue 3 https://doi.org/10.1103/PhysRevB.90.035144	journal	July 2014
Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems Verstraete, F.; Murg, V.; Cirac, J. I. Advances in Physics, Vol. 57, Issue 2 https://doi.org/10.1080/14789940801912366	journal	March 2008
A simple tensor network algorithm for two-dimensional steady states Kshetrimayum, Augustine; Weimer, Hendrik; Orús, Román Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/s41467-017-01511-6	journal	November 2017
Thermodynamics of spin-1/2 Kagomé Heisenberg antiferromagnet: algebraic paramagnetic liquid and finite-temperature phase diagram Chen, Xi; Ran, Shi-Ju; Liu, Tao Science Bulletin, Vol. 63, Issue 23 https://doi.org/10.1016/j.scib.2018.11.007	journal	December 2018
Phase diagram of the quadrumerized Shastry-Sutherland model Läuchli, Andreas; Wessel, Stefan; Sigrist, Manfred Physical Review B, Vol. 66, Issue 1 https://doi.org/10.1103/PhysRevB.66.014401	journal	June 2002
Projected entangled pair states at finite temperature: Imaginary time evolution with ancillas Czarnik, Piotr; Cincio, Lukasz; Dziarmaga, Jacek Physical Review B, Vol. 86, Issue 24 https://doi.org/10.1103/PhysRevB.86.245101	journal	December 2012
Classical Simulation of Infinite-Size Quantum Lattice Systems in Two Spatial Dimensions Jordan, J.; Orús, R.; Vidal, G. Physical Review Letters, Vol. 101, Issue 25 https://doi.org/10.1103/PhysRevLett.101.250602	journal	December 2008
Crystallization of spin superlattices with pressure and field in the layered magnet SrCu2(BO3)2 Haravifard, S.; Graf, D.; Feiguin, A. E. Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms11956	journal	June 2016
Fermionic algebraic quantum spin liquid in an octa-kagome frustrated antiferromagnet Peng, Cheng; Ran, Shi-Ju; Liu, Tao Physical Review B, Vol. 95, Issue 7 https://doi.org/10.1103/PhysRevB.95.075140	journal	February 2017

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Projected entangled pair states
Tensor network methods

Title: Tensor network study of the m = 1/2 magnetization plateau in the Shastry-Sutherland model at finite temperature

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