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Finite correlation length scaling with infinite projected entangled pair states at finite temperature

机译:有限温度下具有无限投影纠缠对状态的有限相关长度定标

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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.
机译:我们使用无限投影纠缠对态(iPEPS)研究二维量子伊辛模型和相互作用的蜂窝费米子模型的二阶有限温度相变。我们通过变张量网络重新规范化获得iPEPS热状态表示。我们发现,在临界温度Tc时,iPEPS相关长度对于iPEPS键维D的计算可访问值是有限的。出于这一观察的考虑,我们研究了有限相关长度定标(FCLS)的应用,该方法先前已用于对T = 0处的量子临界点进行iPEPS模拟,以获得精确的Tc值和通用临界指数。我们发现,在T-c附近,可观察到的行为遵循FCLS预测的行为。使用FCLS,我们获得了与量子蒙特卡洛结果一致的T-c和临界指数,只是在靠近需要更大键尺寸的量子临界点附近进行的耦合。

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  • 来源
    《Physical review》 |2019年第24期|245107.1-245107.11|共11页
  • 作者

    Czarnik Piotr; Corboz Philippe;

  • 作者单位

    Polish Acad Sci, Inst Nucl Phys, Radzikowskiego 152, PL-31342 Krakow, Poland;

    Univ Amsterdam, Inst Theoret Phys, Sci Pk 904, NL-1098 XH Amsterdam, Netherlands|Univ Amsterdam, Delta Inst Theoret Phys, Sci Pk 904, NL-1098 XH Amsterdam, Netherlands;

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