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.
|Journal||Journal of Physics: Conference Series|
|State||Published - Sep 28 2015|
|Event||26th IUPAP Conference on Computational Physics, CCP 2014 - Boston, United States|
Duration: Aug 11 2014 → Aug 14 2014
ASJC Scopus subject areas
- Physics and Astronomy (all)