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

Title
Boundary degrees of freedom in the fractional quantum Hall effect: Excitations on a common boundary of two samples
Authors
Bak, DKim, SPKim, SKSoh, KSYee, JH
Ewha Authors
김성구
SCOPUS Author ID
김성구scopusscopus
Issue Date
1998
Journal Title
PHYSICAL REVIEW B
ISSN
1098-0121JCR Link1550-235XJCR Link
Citation
vol. 57, no. 12, pp. 7149 - 7156
Publisher
AMER PHYSICAL SOC
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
Using the field-theoretic method we have derived the boundary action for the fermion Chern-Simons theory of the quantum Hall effect on a planar region with a boundary. We have computed both the bulk and edge responses of currents to the external electric field. From these 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.
DOI
10.1103/PhysRevB.57.7149
Appears in Collections:
자연과학대학 > 물리학전공 > Journal papers
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