Quantum spin liquid in a kagome lattice spin-1/2 XY model with four-site exchange

TL;DR

This study uses quantum Monte Carlo simulations to explore the phase diagram of a kagome lattice spin-1/2 XY model with four-site exchange, revealing a transition from a superfluid to a Z_2 quantum spin liquid at a critical ratio.

Contribution

It demonstrates a direct quantum phase transition from superfluid to Z_2 spin liquid in a kagome lattice model with four-site exchange, identifying the transition as an XY* quantum critical point.

Findings

Superfluid phase exists at small ring exchange.

Transition to Z_2 spin liquid at (K/J)_c ~ 22.

Transition exhibits 3D XY universality class.

Abstract

We study the ground state phase diagram of a two-dimensional kagome lattice spin-1/2 XY model (J) with a four-site ring exchange interaction (K) using quantum Monte Carlo simulations. We find that the superfluid phase, existing in the regime of small ring exchange, undergoes a direct transition to a Z_2 quantum spin liquid phase at (K/J)_c ~ 22, which is related to the phase proposed by Balents, Girvin and Fisher [Phys. Rev. B, 65 224412 (2002)]. The quantum phase transition between the superfluid and the spin liquid phase has exponents z and \nu falling in the 3D XY universality class, making it a candidate for an exotic XY* quantum critical point, mediated by the condensation of bosonic spinons.