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Boundary effective action for quantum Hall states | | Andrey Gromov
; Kristan Jensen
; Alexander G. Abanov
; | | Date: |
23 Jun 2015 | | Abstract: | We consider quantum Hall states on a space with boundary, focusing on the
aspects of the edge physics which are completely determined by the symmetries
of the problem. There are four distinct terms of Chern-Simons type that appear
in the low-energy effective action of the state. Two of these protect gapless
edge modes. They describe Hall conductance and, with some provisions, thermal
Hall conductance. The remaining two, including the Wen-Zee term, which
contributes to the Hall viscosity, do not protect gapless edge modes but are
instead related to local boundary response fixed by symmetries. We highlight
some basic features of this response. It follows that the coefficient of the
Wen-Zee term can change across an interface without closing a gap or breaking a
symmetry. | | Source: | arXiv, 1506.7171 | | Services: | Forum | Review | PDF | Favorites | |
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