Universität zu Köln

Hansson, T. H., Hermanns, M., Simon, S. H. and Viefers, S. F. (2017). Quantum Hall physics: Hierarchies and conformal field theory techniques. Rev. Mod. Phys., 89 (2). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1539-0756

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Abstract

The fractional quantum Hall effect, being one of the most studied phenomena in condensed matter physics during the past 30 years, has generated many ground-breaking new ideas and concepts. Very early on it was realized that the zoo of emerging states of matter would need to be understood in a systematic manner. The first attempts to do this, by Haldane and Halperin, set an agenda for further work which has continued to this day. Since that time the idea of hierarchies of quasiparticles condensing to form new states has been a pillar of our understanding of fractional quantum Hall physics. In the 30 years that have passed since then, a number of new directions of thought have advanced our understanding of fractional quantum Hall states and have extended it in new and unexpected ways. Among these directions is the extensive use of topological quantum field theories and conformal field theories, the application of the ideas of composite bosons and fermions, and the study of non-Abelian quantum Hall liquids. This article aims to present a comprehensive overview of this field, including the most recent developments.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Hansson, T. H. UNSPECIFIED UNSPECIFIED UNSPECIFIED Hermanns, M. UNSPECIFIED UNSPECIFIED UNSPECIFIED Simon, S. H. UNSPECIFIED UNSPECIFIED UNSPECIFIED Viefers, S. F. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-230738
DOI:	10.1103/RevModPhys.89.025005
Journal or Publication Title:	Rev. Mod. Phys.
Volume:	89
Number:	2
Date:	2017
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	1539-0756
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language FRACTIONALLY CHARGED EXCITATIONS; CHIRAL LUTTINGER LIQUIDS; GINZBURG-LANDAU THEORY; NON-ABELIAN STATISTICS; CHERN-SIMONS THEORY; WAVE-FUNCTIONS; COMPOSITE FERMIONS; EDGE STATES; GROUND-STATE; SPIN-SINGLET Multiple languages Physics, Multidisciplinary Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/23073