# Continuous easy-plane deconfined phase transition on the kagome lattice

## TL;DR

This paper investigates a quantum phase transition in a kagome lattice model, providing evidence for a continuous transition with unconventional scaling, indicative of deconfined quantum criticality, using large-scale quantum Monte Carlo simulations.

## Contribution

The study introduces a theory based on an easy-plane NCCP^1 gauge model and demonstrates, through extensive simulations, that the transition at 1/3 filling is continuous, supporting deconfined quantum criticality.

## Key findings

- Evidence for a continuous phase transition at 1/3 filling.
- Unconventional finite size scaling behavior observed.
- Supports the deconfined quantum criticality scenario.

## Abstract

We use large scale quantum Monte-Carlo simulations to study an extended Hubbard model of hardcore bosons on the kagome lattice. In the limit of strong nearest-neighbor interactions at 1/3 filling, the interplay between frustration and quantum fluctuations leads to a valence bond solid ground state. The system undergoes a quantum phase transition to a superfluid phase as the interaction strength is decreased. It is still under debate whether the transition is weakly first order or represents an unconventional continuous phase transition. We present a theory in terms of an easy-plane NCCP$^1$ gauge theory describing the phase transition at 1/3 filling. Utilizing large scale quantum Monte-Carlo simulations with parallel tempering in the canonical ensemble up to 15552 spins, we provide evidence that the phase transition is continuous at exactly 1/3 filling. A careful finite size scaling analysis reveals an unconventional scaling behavior hinting at deconfined quantum criticality.