Quantum Spin Glass Phase Boundary in (+/-)J Transverse Field Ising Systems

TL;DR

This paper investigates the quantum phase transition in random $ ext{±}J$ Ising models under transverse fields, providing analytical insights for 1D and numerical results for small 2D systems using exact diagonalization.

Contribution

It offers new analytical results for one-dimensional systems and numerical findings for small two-dimensional lattices in the context of quantum phase transitions in disordered Ising models.

Findings

Analytical results for 1D $ ext{±}J$ Ising model under transverse field.

Numerical results for small 2D square lattices using Lanczos method.

Identification of the phase boundary in quantum spin glass systems.

Abstract

Here we study zero temperature quantum phase transition driven by the transverse field for random $\pm J$ Ising model on chain and square lattice. We present some analytical results for one dimension and some numerical results for very small square lattice under periodic boundary condition. The numerical results are obtained employing exact diagonalization technique following Lanczos method.