Universität zu Köln

Bondesan, R., Wieczorek, D. and Zirnbauer, M. R. (2017). Gaussian free fields at the integer quantum Hall plateau transition. Nucl. Phys. B, 918. S. 52 - 91. AMSTERDAM: ELSEVIER SCIENCE BV. ISSN 1873-1562

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Abstract

In this work we put forward an effective Gaussian free field description of critical wavefunctions at the transition between plateaus of the integer quantum Hall effect. To this end, we expound our earlier proposal that powers of critical wave intensities prepared via point contacts behave as pure scaling fields obeying an Abelian operator product expansion. Our arguments employ the framework of conformal field theory and, in particular, lead to a multifractality spectrum which is parabolic. We also derive a number of old and new identities that hold exactly at the lattice level and hinge on the correspondence between the Chalker-Coddington network model and a supersymmetric vertex model. (C) 2017 The Author(s). Published by Elsevier B.V.

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:38-232210
DOI:	10.1016/j.nuclphysb.2017.02.011
Journal or Publication Title:	Nucl. Phys. B
Volume:	918
Page Range:	S. 52 - 91
Date:	2017
Publisher:	ELSEVIER SCIENCE BV
Place of Publication:	AMSTERDAM
ISSN:	1873-1562
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Physics > Institute for Theoretical Physics
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language MODEL; STATES; SYSTEMS Multiple languages Physics, Particles & Fields Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/23221