The Quantum Hall Effects. - Integral and Fractional, 2nd edition

Quantum Condensed Matter Field Theory. The aim of this note is to provide a self contained introduction to the basic tools and concepts of many-body quantum mechanics and quantum field theory, motivated by physical applications, and including the methods of second quantisation, the Feynman path integral and functional field integral. Fractional-calculus diffusion equation (pdf) | Paperity

A Topological Look at the Quantum Hall Effect: … A Topological Look at the Quantum Hall Effect (Laughlin also made seminal contributions to the understanding of the fractional quantum Hall effect, discovered in 1983. But that’s another story.) His argument goes much of the way toward explaining the unexpected precision of the integral plateaus. But by our present understanding, it is short by one important step—namely, the inclusion

Solid State Physics will help build readers understanding\ud of recent developments, with the emergence of novel materials and areas of\ud investigation. Numerous examples, detailed Appendices, solved problems and\ud complements, are an integral part of the text, and they are carefully designed\ud to apply fundamental principles illustrated in the text to currently active topics\ud of research Field Theories of Condensed Matter Physics by …

Download [PDF] Condensed Matter Field Theory … First, the general language of quantum field theory is developed in a way appropriate for dealing with systems having a large number of degrees of freedom. This paves the way for a description of the basic processes in such systems. Applications include various aspects of superfluidity and superconductivity, as well as a detailed description of the fractional quantum Hall liquid.

In the second edition of Maxwell's book, which appeared in 1881, a polite footnote ... to the understanding of the fractional quantum Hall effect, discovered in 1983. ... Because g, the number of handles, equals one, the integral of the curvature ...