# Phase separation and flux quantization in the doped quantum dimer model on the square and triangular lattices

## TL;DR

This study explores how doping affects phase behavior and flux quantization in the quantum dimer model on square and triangular lattices, revealing phase separation and superfluid properties with flux quantization linked to charge transport.

## Contribution

It provides new insights into the effects of doping on phase separation and flux quantization in the quantum dimer model on different lattice geometries.

## Key findings

- Square lattice shows phase separation at low doping.
- Triangular lattice exhibits direct transition to superfluid phase.
- Superfluid flux quantization corresponds to charge 2e in transport.

## Abstract

The doped two-dimensional quantum dimer model is investigated by numerical techniques on the square and triangular lattices, with significantly different results. On the square lattice, at small enough doping, there is always a phase separation between an insulating valence-bond solid and a uniform superfluid phase, whereas on the triangular lattice, doping leads directly to a uniform superfluid in a large portion of the RVB phase. Under an applied Aharonov-Bohm flux, the superfluid exhibits quantization in terms of half-flux quanta, consistent with Q=2e elementary charge quanta in transport properties.