Interacting Electrons and Quantum Magnetism (Hardback)

Condition

GOOD: This book is in very good condition, with only a slight bump on the lower corner of the back cover. The pages are free of writing and are printed on acid-free paper.

Product Details

This description comes from the book's back cover:

"This is a textbook on quantum magnetism and on modern techniques in strongly correlated electron systems. It explains concepts and techniques that are useful in widely diverse areas such as quantum spin systems, the fractional quantum Hall effect, superfluidity, and high-temperature superconductivity.

"The book starts with a discussion of interactions between electrons and spin exchange; the Heisenberg and t-J models are derived from the Hubbard model, and itinerant magnetism is presented as a variational theory. Superconductivity and charge ordering in the negative-U Hubbard model are described by pseudospins.

"The Heisenberg model is used to elucidate general concepts such as spontaneous symmetry breaking, Goldstone modes and spin waves, thermal and quantum disorder in low dimensions, and Haldane's gap.

"The text emphasizes nonperturbative approaches: ground state theorems, variational wave functions, parent Hamiltonians, single mode excitations, the spin path integral and its large-S expansion, Haldane's mapping, Polyakov's weak-coupling renormalization, large-N expansions for constrained systems, and the semiclassical theory of the t-J model. Mathematical derivations are self-contained.

"Appendices provide standard many-body tools, including second quantization, Grassmann variables, generating functionals, linear response, correlation functions, Fermi and Bose coherent-states path integrals, Matsubara representation, and the method of steepest descents. The chapters conclude with guided bibliographies and exercises."

This publication is part of the "Graduate Texts in Contemporary Physics" series edited by Joseph L. Birman, Jeffrey W. Lynn, Mark P. Silverman, H. Eugene Stanley, and Mikhail Voloshin.