Numerical studies of various Néel-VBS transitions in SU(N) anti-ferromagnets

26th IUPAP Conference on Computational Physics

物理学;计算机科学

Kaul, Ribhu K.^1 ; Block, Matthew S.^2

Department of Physics and Astronomy, University of Kentucky, Lexington

KY

40506-0055, United States^1

Department of Physics and Astronomy, California State University, Sacramento

CA

95819, United States^2

关键词: Current status;    Loop algorithms;    Quantum criticality;    Quantum Monte Carlo methods;    Stochastic series expansion method;    SU spin models;    Two-dimension;    Valence bonds;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/640/1/012041/pdf
DOI  :  10.1088/1742-6596/640/1/012041

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

In this manuscript we review recent developments in the numerical simulations of bipartite SU(N) spin models by quantum Monte Carlo (QMC) methods. We provide an account of a large family of newly discovered sign-problem free spin models which can be simulated in their ground states on large lattices, containing O(105) spins, using the stochastic series expansion method with efficient loop algorithms. One of the most important applications so far of these Hamiltonians are to unbiased studies of quantum criticality between Neel and valence bond phases in two dimensions - a summary of this body of work is provided. The article concludes with an overview of the current status of and outlook for future studies of the "designer" Hamiltonians.