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

[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.

[发布机构] 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

[效力级别] 计算机科学 [学科分类] 计算机科学（综合）

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