New Quantum Monte Carlo Approach to Ground-State Phase Transitions in Quantum Spin Systems
New Quantum Monte Carlo Approach to Ground-State Phase Transitions in Quantum Spin Systems
复制标题
量子自旋系统中基态相变的新量子蒙特卡罗方法
DOI：
10.1143/jpsj.67.5
复制
发表时间：
1998
影响因子：
1.7
通讯作者：
Y. Nonomura
中科院分区：
文献类型：
--
作者：
Y. Nonomura
基于量子蒙特卡罗方法，提出了一种新的有效的量子自旋系统基态相变有限尺寸研究方案。也就是说，Trotter 数和模拟温度根据系统规模进行缩放，并且每个系统规模只需要进行一次模拟。在非常大的系统中，使用阶次参数的非平衡松弛来独立于临界指数来估计转变点。该方案通过一维S=1/2非对称XY模型临界现象的估计得到证实。
A new efficient scheme for the finite-size-scaling study of ground-state phase transitions in quantum spin systems is proposed on the basis of the quantum Monte Carlo method. That is, Trotter numbers and simulated temperatures are scaled in accordance with system sizes, and only one simulation is required for each system size. The transition point is estimated independently of the critical exponents using the non-equilibrium relaxation of the order parameter in a very large system. This scheme is confirmed by the estimation of the critical phenomenon of the one-dimensional S =1/2 asymmetric XY model.