Unification of parton and coupled-wire approaches to quantum magnetism in two dimensions
Abstract
The fractionalization of microscopic degrees of freedom is a remarkable manifestation of strong interactions in quantum many-body systems. Analytical studies of this phenomenon are primarily based on two distinct frameworks: field theories of partons and emergent gauge fields, or coupled arrays of one-dimensional quantum wires. We unify these approaches for two-dimensional spin systems. Via exact manipulations, we demonstrate how parton gauge theories arise in microscopic wire arrays and explicitly relate spin operators to emergent quasiparticles and gauge-field monopoles. This correspondence allows us to compute physical correlation functions within both formulations and leads to a straightforward algorithm for constructing parent Hamiltonians for a wide range of exotic phases. We exemplify this technique for several chiral and non-chiral quantum spin liquids.
Keywords
Cite
@article{arxiv.2006.16256,
title = {Unification of parton and coupled-wire approaches to quantum magnetism in two dimensions},
author = {Eyal Leviatan and David F. Mross},
journal= {arXiv preprint arXiv:2006.16256},
year = {2021}
}
Comments
32 pages, 11 figures