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A microscopic model for the magnetic field driven breakdown of the dissipationless state in the integer and fractional quantum Hall effect | | A. Poux
; Z. R. Wasilewski
; K. J. Friedland
; R. Hey
; K. H. Ploog
; R. Airey
; P. Plochocka
; D. K. Maude
; | | Date: |
2 Sep 2016 | | Abstract: | Intra Landau level thermal activation, from localized states in the tail, to
delocalized states above the mobility edge in the same Landau level, explains
the $B_c(T)$ (half width of the dissipationless state) phase diagram for a
number of different quantum Hall samples with widely ranging carrier density,
mobility and disorder. Good agreement is achieved over $2-3$ orders of
magnitude in temperature and magnetic field for a wide range of filling
factors. The Landau level width is found to be independent of magnetic field.
The mobility edge moves, in the case of changing Landau level overlap to
maintain a sample dependent critical density of states at that energy. An
analysis of filling factor $
u=2/3$ shows that the composite Fermion Landau
levels have exactly the same width as their electron counterparts. An important
ingredient of the model is the Lorentzian broadening with long tails which
provide localized states deep in the gap which are essential in order to
reproduce the robust high temperature $B_c(T)$ phase observed in experiment. | | Source: | arXiv, 1609.0485 | | Services: | Forum | Review | PDF | Favorites | |
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