期刊
PHYSICAL REVIEW B
卷 82, 期 2, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.82.024407
关键词
-
资金
- NSF [DMR-0513930, DMR-0803510]
- Division Of Materials Research
- Direct For Mathematical & Physical Scien [0803510] Funding Source: National Science Foundation
We show how efficient loop updates, originally developed for Monte Carlo simulations of quantum spin systems at finite temperature, can be combined with a ground-state projector scheme and variational calculations in the valence-bond basis. The methods are formulated in a combined space of spin z components and valence bonds. Compared to schemes formulated purely in the valence-bond basis, the computational effort is reduced from up to O(N-2) to O(N) for variational calculations, where N is the system size, and from O(m(2)) to O(m) for projector simulations, where m >> N is the projection power. These improvements enable access to ground states of significantly larger lattices than previously. We demonstrate the efficiency of the approach by calculating the sublattice magnetization M-s of the two-dimensional Heisenberg model to high precision, using systems with up to 256 x 256 spins. Extrapolating the results to the thermodynamic limit gives M-s = 0.30743(1). We also discuss optimized variational amplitude-product states, which were used as trial states in the projector simulations, and compare results of projecting different types of trial states.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据