Quantum Phase Transitions in Coupled Dimer Compounds

TL;DR

This paper investigates quantum phase transitions in coupled dimer antiferromagnets, combining quantum Monte Carlo simulations with analytical Ginzburg-Landau theory to understand critical properties and scaling behavior.

Contribution

It provides a comprehensive analysis of critical points and scaling in magnetic-field induced quantum phase transitions using both numerical and analytical methods.

Findings

Quantum critical points are precisely determined via Monte Carlo simulations.

Scaling laws for magnetization are established across the phase transition.

Excellent agreement between numerical and analytical results is demonstrated.

Abstract

We study the critical properties in cubic systems of antiferromagnetically coupled spin dimers near magnetic-field induced quantum phase transitions. The quantum critical points in the zero-temperature phase diagrams are determined from quantum Monte Carlo simulations. Furthermore, scaling properties of the uniform magnetization and the staggered transverse magnetization across the quantum phase transition in magnetic fields are calculated. The critical exponents are derived from Ginzburg-Landau theory. We find excellent agreement between the quantum Monte Carlo simulations and the analytical results.