Disorder by disorder and flat bands in the kagome transverse field Ising model
Abstract
We study the transverse field Ising model on a kagome and a triangular lattice using high-order series expansions about the high-field limit. For the triangular lattice our results confirm a second-order quantum phase transition in the 3d XY universality class. Our findings for the kagome lattice indicate a notable instance of a disorder by disorder scenario in two dimensions. The latter follows from a combined analysis of the elementary gap in the high- and low-field limit which is shown to stay finite for all fields h. Furthermore, the lowest one-particle dispersion for the kagome lattice is extremely flat acquiring a dispersion only from order eight in the 1/h limit. This behaviour can be traced back to the existence of local modes and their breakdown which is understood intuitively via the linked cluster expansion.
Keywords
Cite
@article{arxiv.1212.0736,
title = {Disorder by disorder and flat bands in the kagome transverse field Ising model},
author = {M. Powalski and K. Coester and R. Moessner and K. P. Schmidt},
journal= {arXiv preprint arXiv:1212.0736},
year = {2014}
}
Comments
11 pages, 11 figrues