Quantum Phase Transition in the One-Dimensional Extended Quantum Compass Model in a Transverse Field

TL;DR

This paper analyzes quantum phase transitions in a one-dimensional extended quantum compass model under a transverse field, revealing a complex phase diagram and critical behaviors using analytical and scaling methods.

Contribution

It provides the first analytical expressions for critical fields and explores the universality and scaling properties of the model's phase transitions.

Findings

Identified all critical fields for quantum phase transitions.

Mapped a rich phase diagram including multiple magnetic phases.

Confirmed universality through susceptibility and correlation function analysis.

Abstract

Quantum phase transitions in the one-dimensional extended quantum compass model in transverse field are studied by using the Jordan-Wigner transformation. This model is always gapful except at the critical surfaces where the energy gap disappears. We obtain the analytic expressions of all critical fields which drive quantum phase transitions. This model shows a rich phase diagram which includes spin-flop, strip antiferromagnetic and saturate ferromagnetic phases in addition to the phase with anti parallel ordering of spin $y$ component on odd bonds. However we study the universality and scaling properties of the transverse susceptibility and nearest-neighbor correlation functions derivatives in different regions to confirm the results obtained using the energy gap analysis.