Resonating valence bond liquid physics on the triangular lattice

TL;DR

This paper explores the properties of the short-range resonating valence bond (RVB) liquid phase on the triangular lattice, discussing its topological features and potential implications for quantum computing.

Contribution

It provides an in-depth analysis of the RVB liquid phase on the triangular lattice, including overlap expansion techniques and topological degeneracy considerations.

Findings

Topological degeneracy persists under duality transformations

Potential relevance of RVB liquids for quantum computing

Detailed methodology for quantum dimer models

Abstract

We give an account of the short-range RVB liquid phase on the triangular lattice, starting from an elementary introduction to quantum dimer models including details of the overlap expansion used to generate them. The fate of the topological degeneracy of the state under duality is discussed, as well as recent developments including its possible relevance for quantum computing.