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Boundary degrees of freedom in fractional quantum Hall effect: Excitations on common boundary of two samples

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arxiv cond-mat/9707177 v1 pith:4BNCEPA5 submitted 1997-07-17 cond-mat hep-th

Boundary degrees of freedom in fractional quantum Hall effect: Excitations on common boundary of two samples

Dongsu Bak , Sang Pyo Kim , Sung Ku Kim , Kwang-Sup Soh , Jae Hyung Yee This is my paper
classification cond-mat hep-th
keywords boundaryhallchern-simonscommoncurrentedgequantumsamples
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Using the Carlip's method we have derived the boundary action for the fermion Chern-Simons theory of quantum Hall effects on a planar region with a boundary. We have computed both the bulk and edge responses of currents to the external electric field. From this we obtain the well-known anomaly relation and the boundary Hall current without introducing any ad hoc assumptions such as the chirality condition. In addition, the edge current on the common boundary of two samples is found to be proportional to the difference between Chern-Simons coupling strengths.

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