论文标题

量子LIFSHITZ通过量子级从量子障碍产生的量子障碍产生的量子障碍,在强相关的Rashba旋转轨道耦合系统中

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

论文作者

Sun, Fadi, Ye, Jinwu

论文摘要

我们研究了受各向同性Rashba Soc $α=β$的正方形晶格中强烈相互作用的旋转玻色子的系统。它支持共线自旋键相关的磁性Y-X相,这是一种张开的(IC-)共同平面IC-XY相位,这是一种非稳态(C-)$ 3 \ times 3 $ Skyrmion Crystal阶段(SKX)。在Abelian Point $α=β=π/2 $的状态在旋转的基础上只是AFM状态。远离该点,我们确定了一个虚假的$ u(1)$对称性,开发出一种新颖的非扰动方法来计算差距,而且还要由于量子障碍(OFQD)机制而引起的激发频谱。我们构建了一种基于对称性的有效作用,以研究从Y-X状态到IC-XY-Y状态的量子Lifshitz的过渡,并在有效动作中建立了现象学参数与通过微观$ s $ limits中微观非扰动OFQD分析评估的量子。讨论了对冷原子以及一些4d或5d Kitaev材料的实验意义。

We study the system of strongly interacting spinor bosons in a square lattice subject to the isotropic Rashba SOC $ α=β$. 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 $ α=β=π/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.

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