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28 March 2024
 
  » arxiv » 1504.5154

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Confinement-deconfinement transition due to spontaneous symmetry breaking in quantum Hall bilayers
D. I. Pikulin ; P. G. Silvestrov ; T. Hyart ;
Date 20 Apr 2015
AbstractBand-inverted electron-hole bilayers support quantum spin Hall insulator and exciton condensate phases [1-4]. We investigate such a bilayer in an external magnetic field. We show that the interlayer correlations lead to a formation of a helical quantum Hall exciton condensate state. In contrast to the chiral edge states of the quantum Hall exciton condensate in electron-electron bilayers [5-7], existence of the electron and hole counterpropagating edge modes result in formation of a ground state spin-texture not supporting gapless single-particle excitations. This feature has deep consequences for the low energy behavior of the system. Namely, the charged edge excitations in a sufficiently narrow Hall bar are confined i.e. a charge on one of the edges always gives rise to an opposite charge on the other edge. Moreover, we show that a magnetic field and gate voltages allow to control a confinement-deconfinement transition of charged edge excitations, which can be probed with nonlocal conductance. Confinement-deconfinement transitions are of great interest, not least because of their possible significance in shedding light on the confinement problem of quarks [8].
Source arXiv, 1504.5154
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