Universität zu Köln

Klevtsov, Semyon (2017). Lowest Landau level on a cone and zeta determinants. J. Phys. A-Math. Theor., 50 (23). BRISTOL: IOP PUBLISHING LTD. ISSN 1751-8121

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Abstract

We consider the integer QH state on Riemann surfaces with conical singularities, with the main objective of detecting the effect of the gravitational anomaly directly from the form of the wave function on a singular geometry. We suggest the formula expressing the normalisation factor of the holomorphic state in terms of the regularized zeta determinant on conical surfaces and check this relation for some model geometries. We also comment on possible extensions of this result to the fractional QH states.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Klevtsov, Semyon UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-227896
DOI:	10.1088/1751-8121/aa6e0a
Journal or Publication Title:	J. Phys. A-Math. Theor.
Volume:	50
Number:	23
Date:	2017
Publisher:	IOP PUBLISHING LTD
Place of Publication:	BRISTOL
ISSN:	1751-8121
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language HALL CONDUCTIVITY; TRANSPORT Multiple languages Physics, Multidisciplinary; Physics, Mathematical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/22789