Topological quantum computation has emerged as one of the most exciting approaches to
constructing a fault-tolerant quantum computer. The proposal relies on the existence of …

An introductory survey of the theoretical ideas and calculations and the experimental results
which depart from Landau Fermi liquids is presented. The common themes and possible …

NATURE abounds with phase transitions. The boiling and freezing of water are everyday
examples of phase transitions, as are more exotic processes such as superconductivity and …

This is the fourth, expanded edition of the comprehensive textbook published in 1990 on the
theory and applications of path integrals. It is the first book to explicitly solve path integrals of …

Presenting the physics of the most challenging problems in condensed matter using the
conceptual framework of quantum field theory, this book is of great interest to physicists in …

A two-dimensional electron system in an external magnetic field, with Landau-level filling
factor ν= 1/2, can be transformed to a mathematically equivalent system of fermions …

The fractional quantum Hall (FQH) states are shown to have q̃ fold g ground-state
degeneracy on a Riemann surface of genus g, where q̃ is the ground-state degeneracy in a …

Fractional quantum Hall (FQH) liquids contain extremely rich internal structures which
represent a whole new kind of ordering. We discuss the characterization and classification of …

After a foreword by Klaus von Klitzing, the first chapters of this book discuss the prehistory
and the theoretical basis as well as the implications of the discovery of the Quantum Hall …

This book was first published in 2007. When electrons are confined to two dimensions,
cooled to near absolute zero temperature, and subjected to a strong magnetic field, they …