玻色-费米混合管中的手性流

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中图分类号：0562 文献标志码：A 文章编号：0253-2395（2025）04-0752-07

Abstract：WesudiedthechiraledgecurrntsoffermionsinaBose-Fermimixturetubemodel，heretheBose-Feriiteraction causesthemodulationofthedensityofbosonsandfermions.Thuswefocusedontheinfluenceofdifferentbosonstates （superfluid orMott-insulator）othechiraledgecurrntsoffermionswhenthednsityisperturbedBasedontheexactdagonalizationanddensity-matrixrenrmalizationgroups，theFermicurentssequenceparametersofthegroudstateofthesystemwerecalculated.We found hat whenthebosonisinasuperfuidstate，theBose-Fermiinteractiondrives theFermiedgecurrnts fromMeissertovortex vacuumphase separation（V-PS，） and vortex full-band phaseseparation （V-PS2） .Whenthe bosonisin theMott-insulator，theBoseFermi interaction drives the Meissner currents into another Vortex phase separation （V⋅PS3） ）.Finally，the currents phase diagram of thesystemasafunctionofinteractionisshown.Thediscoveryof threenewcurrentsphases enrichesthevarietyofcurrentsphases and providestheoreticalsupportforfurtherresearchonsingularchiralcurrents induedbythecoexistenceofartificialgaugefields and interactions.

Key words：chiral current; Bose-Fermi mixtures;density-matrix renormalization group; quantum phase transition

0 引言

手性边界流是量子霍尔系统的典型特征[1-2]，它的宏观现象表现为截断体系边界处由磁场引起的回旋运动。（剩余12056字）