Universality in Quantum Hall Systems: Coset Construction of Incompressible States

被引：0
作者：
Jürg Fröhlich
Bill Pedrini
Christoph Schweigert
Johannes Walcher
机构：
[1] ETH Hönggerberg,Institut für Theoretische Physik
[2] Université Paris VI,LPTHE
来源：
Journal of Statistical Physics | 2001年 / 103卷
关键词：
quantum Hall effect; conformal field theory; topological field theory; coset construction; Chern–Simons electrodynamics; simple currents;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Incompressible Quantum Hall fluids (QHF's) can be described in the scaling limit by three-dimensional topological field theories. Thanks to the correspondence between three-dimensional topological field theories and two dimensional chiral conformal field theories (CCFT's), we propose to study QHF's from the point of view of CCFT's. We derive consistency conditions and stability criteria for those CCFT's that can be expected to describe a QHF. A general algorithm is presented which uses simple currents to construct interesting examples of such CCFT's. It generalizes the description of QHF's in terms of Quantum Hall lattices. Explicit examples, based on the coset construction, provide candidates for the description of Quantum Hall fluids with Hall conductivity σH=1/2(e2/h), 1/4(e2/h), 3/5(e2/h), (e2/h),... .
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页码：527 / 567
页数：40
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