Universität zu Köln

Bondesan, R., Wieczorek, D. and Zirnbauer, M. R. (2014). Pure Scaling Operators at the Integer Quantum Hall Plateau Transition. Phys. Rev. Lett., 112 (18). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1079-7114

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Abstract

Stationary wave functions at the transition between plateaus of the integer quantum Hall effect are known to exhibit multifractal statistics. Here we explore this critical behavior for the case of scattering states of the Chalker-Coddington network model with point contacts. We argue that moments formed from the wave amplitudes of critical scattering states decay as pure powers of the distance between the points of contact and observation. These moments in the continuum limit are proposed to be correlation functions of primary fields of an underlying conformal field theory. We check this proposal numerically by finite-size scaling. We also verify the conformal field theory prediction for a three-point function involving two primary fields.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Bondesan, R. UNSPECIFIED UNSPECIFIED UNSPECIFIED Wieczorek, D. UNSPECIFIED UNSPECIFIED UNSPECIFIED Zirnbauer, M. R. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-438422
DOI:	10.1103/PhysRevLett.112.186803
Journal or Publication Title:	Phys. Rev. Lett.
Volume:	112
Number:	18
Date:	2014
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	1079-7114
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language CONDUCTANCES; MODEL Multiple languages Physics, Multidisciplinary Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/43842