String Picture of a Frustrated Quantum Magnet and Dimer Model

TL;DR

This paper presents a novel string-based mapping of a frustrated quantum Ising magnet, providing analytic insights into its correlations and phase diagram, aligning well with recent simulation results.

Contribution

It introduces a string picture for a frustrated quantum magnet, offering a new analytical approach to understanding its phase behavior and correlations.

Findings

Analytic phase diagram consistent with simulations

Correlation functions derived from string model

Identification of competition between pinning and defects

Abstract

We map a geometrically frustrated Ising system with transversal field generated quantum dynamics to a strongly anisotropic lattice of non-crossing elastic strings. The combined effect of frustration, quantum and thermal spin fluctuations is explained in terms of a competition between intrinsic lattice pinning of strings and topological defects in the lattice. From this picture we obtain analytic results for correlations and the phase diagram which agree nicely with recent simulations.