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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 | Abstract: | Band-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 | Services: | Forum | Review | PDF | Favorites |
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