Effective models for the magnetization behavior of Shastry-Sutherland model
Abstract
The minimal effective model for the magnetisation plateaus below 1/2 in the Shastry-Sutherland model is derived to be an Ising model of certain unit-cell hard-core bosons with anisotropic repulsive interactions on isosceles triangular lattice. It unambiguously gives the prominent plateaus at 1/8, 1/6, 1/4, 1/3 and an additional one at 3/8, related through a particle-hole (p-h) transformation. The Dzyaloshinsky-Moriya (DM) interaction dresses it up with an inhomogeneous transverse field that also causes p-h asymmetry due to an in-plane component of the inter-dimer DM vector. This explains the asymmetry between the magnetisation below and above 1/4 in SrCu(BO). The effective model above 1/2 plateau is an XXZ model with stronger XY parts. It gives no magnetisation plateaus, but exhibits chiral order.
Keywords
Cite
@article{arxiv.1408.3529,
title = {Effective models for the magnetization behavior of Shastry-Sutherland model},
author = {Brijesh Kumar and Bimla Danu},
journal= {arXiv preprint arXiv:1408.3529},
year = {2014}
}
Comments
5 pages, 10 figures