玻色-费米混合管中的手性流

Chiral Currents in Bose-Fermi Mixtures Tube

摘要

本文研究了玻色-费米混合管模型中费米子的手性边界流，在混合管中，玻色-费米相互作用会引起玻色子和费米子密度的调制，所以我们重点关注不同的玻色子状态（超流或Mott绝缘体）在密度发生微扰时对费米子手性边界流的影响。基于精确对角化和密度矩阵重整化群，计算了体系基态的费米流序参量。本文发现当玻色子处于超流态时，玻色-费米相互作用会驱动费米边界流从迈斯纳流变成涡旋真空相分离（V-PS₁）和涡旋满带相分离（VPS₂）。当玻色子处于Mott态时，玻色-费米相互作用则将迈斯纳流驱动为另一种涡旋相分离（V-PS₃）。最终展示了体系随着相互作用变化的流相图。我们发现的三种新流相丰富了流相的种类，为进一步研究人造规范场和相互作用共存所诱导的奇异手性流提供了理论支持。

Abstract

We studied the chiral edge currents of fermions in a Bose-Fermi mixture tube model, where the Bose-Fermi interaction causes the modulation of the density of bosons and fermions. Thus we focused on the influence of different boson states (superfluid or Mott-insulator) on the chiral edge currents of fermions when the density is perturbed. Based on the exact diagonalization and density-matrix renormalization groups, the Fermi currents sequence parameters of the ground state of the system were calculated. We found that when the boson is in a superfluid state, the Bose-Fermi interaction drives the Fermi edge currents from Meissner to vortex vacuum phase separation (V-PS₁) and vortex full-band phase separation (V-PS₂). When the boson is in the Mott-insulator, the Bose-Fermi interaction drives the Meissner currents into another vortex phase separation (V-PS₃). Finally, the currents phase diagram of the system as a function of interaction is shown. The discovery of three new currents phases enriches the variety of currents phases and provides theoretical support for further research on singular chiral currents induced by the coexistence of artificial gauge fields and interactions.

Graphical abstract

关键词

手性流 / 玻色费米混合系统 / 密度矩阵重整化群 / 量子相变

Key words

chiral current / Bose-Fermi mixtures / density-matrix renormalization group / quantum phase transition

基金资助

国家自然科学基金(12004230)

山西省“1331工程”重点学科建设计划