Quantum Hall Systems Braid Groups, Composite Fermions, and Fractional Charge

This book presents the wide range of topics in two-dimensional physics of quantum Hall systems, especially fractional quantum Hall states. It covers the fundamental problems of two-dimensional quantum statistics in terms of topology and the corresponding braid group formalism for composite fernions, and the main formalism used in many-body quantum Hall theories, the Chern-Simons theory. Numerical studies are introduced for spherical systems and the composite fermion theory is tested. The book introduces the concept of the hierarchy of condensed states, the BCS paired Hall state, and multi-component quantum Hall systems and spin quantum Hall systems.

Lucjan Jacak is a professor at the Institute of Physics, Wroclaw University of Technology. He was Director of the Institute of Physics in 1991-1996 and Pro-Rector of Wroclaw University of Technology during 1996-1999. He has received various awards for his work. Piotr Sitko is an associate professor at the Institute of Physics, Wroclaw University of Technology. He received two awards in 1995 and 1998. Konrad Wieczorek is an associate professor at the Institute of Physics, Wroclaw University of Technology. Arkadiusz Wojs is an assistant professor at the Institute of Physics, Wroclaw University of Technology. He received three awards during 1996-1998.