Quantum renormalization group of XYZ model in a transverse magnetic field

TL;DR

This paper investigates the phase diagram of the XYZ quantum spin model in a transverse magnetic field, revealing critical behavior and universality classes using quantum renormalization group and numerical methods.

Contribution

It applies quantum renormalization group techniques to analyze the XYZ model's phase transitions and universality classes, including experimental relevance.

Findings

Phase diagram with antiferromagnetic and paramagnetic phases

Critical exponents consistent with Ising universality class

Numerical validation via exact diagonalization

Abstract

We have studied the zero temperature phase diagram of XYZ model in the presence of transverse magnetic field. We show that small anisotropy (0 =< Delta <1) is not relevant to change the universality class. The phase diagram consists of two antiferromagnetic ordering and a paramagnetic phases. We have obtained the critical exponents, fixed points and running of coupling constants by implementing the standard quantum renormalization group. The continuous phase transition from antiferromagnetic (spin-flop) phase to a paramagnetic one is in the universality class of Ising model in transverse field. Numerical exact diagonalization has been done to justify our results. We have also addressed on the application of our findings to the recent experiments on Cs_2CoCl_4.