Field Theories of Condensed Matter Physics

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Cambridge University Press, Feb 28, 2013 - Science - 838 pages
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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 condensed matter and high energy and string theorists, as well as mathematicians. Revised and updated, this second edition features new chapters on the renormalization group, the Luttinger liquid, gauge theory, topological fluids, topological insulators and quantum entanglement. The book begins with the basic concepts and tools, developing them gradually to bring readers to the issues currently faced at the frontiers of research, such as topological phases of matter, quantum and classical critical phenomena, quantum Hall effects and superconductors. Other topics covered include one-dimensional strongly correlated systems, quantum ordered and disordered phases, topological structures in condensed matter and in field theory and fractional statistics.
 

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page 240
eq (7.189)

Contents

The magnetic instability of the Fermi system
27
The renormalization group and scaling
63
Onedimensional quantum antiferromagnets
90
The Luttinger liquid
145
Sigma models and topological terms
189
Spinliquid states
251
Gauge theory dimer models and topological phases
286
Chiral spin states and anyons
359
Topology and the quantum Hall effect
432
The fractional quantum Hall effect
480
Topological fluids
536
Physics at the edge
603
Topological insulators
669
Quantum entanglement
753
References
799
Index
826

Anyon superconductivity
414

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About the author (2013)

Eduardo Fradkin is a Professor of Physics at the University of Illinois, Urbana-Champaign and the current Director of the Institute for Condensed Matter Theory of the University of Illinois. He received his Licenciado (Master's) degree in Physics from the University of Buenos Aires in 1973 and his PhD in Physics from Stanford University, California in 1979. Fradkin is a condensed matter theorist, and has worked on gauge theory, frustrated and disordered systems, classical and quantum critical phenomena, strongly correlated systems, fractional quantum hall fluids and other topological phases of matter, high temperature superconductivity and quantum entanglement in quantum field theory and condensed matter.

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