期刊
PHYSICAL REVIEW B
卷 99, 期 24, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.99.245107
关键词
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资金
- National Science Centre (NCN), Poland [2016/23/B/ST3/00830]
- European Research Council (ERC) under the EU Horizon 2020 research and innovation program [677061]
- European Research Council (ERC) [677061] Funding Source: European Research Council (ERC)
We study second-order finite-temperature phase transitions of the two-dimensional quantum Ising and interacting honeycomb fermion models using infinite projected entangled pair states (iPEPS). We obtain an iPEPS thermal state representation by variational tensor network renormalization. We find that at the critical temperature T-c the iPEPS correlation length is finite for the computationally accessible values of the iPEPS bond dimension D. Motivated by this observation, we investigate the application of finite correlation length scaling (FCLS), which has been previously used for iPEPS simulations of quantum critical points at T = 0, to obtain precise values of T-c and the universal critical exponents. We find that in the vicinity of T-c the behavior of observables follows well the one predicted by FCLS. Using FCLS we obtain T-c and the critical exponents in agreement with quantum Monte Carlo results except for couplings close to the quantum critical points where larger bond dimensions are required.
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