Quantum Lifshitz transitions generated by order from quantum disorder in strongly correlated Rashba spin-orbital coupled systems

TL;DR

This paper investigates quantum phase transitions in strongly interacting Rashba spin-orbital coupled bosonic systems, revealing novel Lifshitz transitions driven by order from quantum disorder and providing a non-perturbative analysis of excitation spectra.

Contribution

It introduces a new non-perturbative method to analyze quantum Lifshitz transitions and connects microscopic calculations with effective field theories in Rashba spin-orbital coupled systems.

Findings

Identification of multiple magnetic and Skyrmion crystal phases.

Development of a non-perturbative method for excitation spectrum calculation.

Establishment of a connection between microscopic analysis and effective field theory.

Abstract

We study the system of strongly interacting spinor bosons in a square lattice subject to the isotropic Rashba SOC $ \alpha=\beta $. It supports collinear spin-bond correlated magnetic Y-x phase, a gapped in-commensurate (IC-) co-planar IC-XY-y phase, a non-coplanar commensurate (C-) $ 3 \times 3 $ Skyrmion crystal phase (SkX). The state at the Abelian point $ \alpha=\beta=\pi/2 $ is just an AFM state in a rotated basis. Slightly away from the point, we identify a spurious $ U(1) $ symmetry, develop a novel and non-perturbative method to calculate not only the gap, but also the excitation spectrum due to the order from quantum disorder (OFQD) mechanism. We construct a symmetry based effective action to investigate the quantum Lifshitz transition from the Y-x state to the IC-XY-y state and establish the connection between the phenomenological parameters in the effective action and those evaluated by the microscopic non-perturbative OFQD analysis in the large $ S $ limits. Experimental implications on cold atoms and some 4d or 5d Kitaev materials are discussed.