Quantum Many-Body Physics

Lieferzeit: Lieferbar innerhalb 14 Tagen

85,59 

A Perspective on Strong Correlations, Lecture Notes in Physics 9174, Lecture Notes in Physics 934

ISBN: 4431553924
ISBN 13: 9784431553922
Autor: Kuramoto, Yoshio
Verlag: Springer Verlag GmbH
Umfang: xi, 261 S., 38 s/w Illustr., 3 farbige Illustr., 261 p. 41 illus., 3 illus. in color.
Erscheinungsdatum: 05.02.2020
Auflage: 1/2020
Produktform: Kartoniert
Einband: Kartoniert
Originaltitel: Ryoushi Tatai Butsurigaku

The book starts by explaining in detail the idea of the effective Hamiltonian, and explains how renormalization can be used to understand the difference between hydrogen and oxygen molecules concerning magnetism, before addressing more sophisticated uses of renormalization for Kondo systems and superconductivity, including multiple bands and with repulsive interactions. Emphasis is also placed on one-dimensional systems, which include Kondo impurity systems via certain mapping. The book then presents a self-contained description of the method of bosonization and re-fermionization, providing a clear understanding of nonperturbative correlation effects. It also explains the first quantization approach that extends to finite temperatures. With only a minimum of mathematics involved, readers will recognize how the quasi-particles obeying fractional statistics appear in low-dimensional systems.

Artikelnummer: 9384803 Kategorie:

Beschreibung

This book offers a compact tutorial on basic concepts and tools in quantum many-body physics, and focuses on the correlation effects produced by mutual interactions.The content is divided into three parts, the first of which introduces readers to perturbation theory. It begins with the simplest exampleshydrogen and oxygen moleculesbased on their effective Hamiltonians, and looks into basic properties of electrons in solids from the perspective of localized and itinerant limits. Readers will also learn about basic theoretical methods such as the linear response theory and Green functions. The second part focuses on mean-field theory for itinerant electrons, e.g. the Fermi liquid theory and superconductivity. Coulomb repulsion among electrons is addressed in the context of high-Tc superconductivity in cuprates and iron pnictides. A recent discovery concerning hydride superconductors is also briefly reviewed. In turn, the third part highlights quantum fluctuation effects beyond the mean-field picture. Discussing the dramatic renormalization effect in the Kondo physics, it provides a clear understanding of nonperturbative interaction effects. Further it introduces readers to fractionally charged quasi-particles in one and two dimensions. The last chapter addresses the dynamical mean field theory (DMFT).The book is based on the authors long years of experience as a lecturer and researcher. It also includes reviews of recent focus topics in condensed matter physics, enabling readers to not only grasp conventional condensed matter theories but also to catch up on the latest developments in the field.

Autorenporträt

Yoshio Kuramoto Department of Physics, Tohoku University email: kuramoto@cmpt.phys.tohoku.ac.jp

Herstellerkennzeichnung:


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