Quantum Critical Point of the XY Model and Condensation of Field-Induced Quasiparticles in Dimer Compounds

TL;DR

This paper investigates the quantum critical point of the 3D XY model under a symmetry-preserving field, showing mean-field critical behavior through Monte Carlo simulations and theoretical analysis.

Contribution

It demonstrates that the quantum critical behavior of the 3D XY model exhibits mean-field exponents, supported by Monte Carlo results and field-theoretical arguments.

Findings

Quantum critical point exhibits mean-field critical exponents

Monte Carlo simulations confirm mean-field scaling

Field-theoretical analysis supports simulation results

Abstract

The quantum critical point of the three-dimensional XY model in a symmetry-preserving field is investigated. The results of Monte Carlo simulations with the directed-loop algorithm show that the quantum critical behavior is characterized by the mean-field values of critical exponents. The system-size dependence of various quantities is compared to a simple field-theoretical argument that supports the mean-field scaling.