Quantum many-body physics : a perspective on strong correlations / Yoshio Kuramoto.
2020
QC174.17.P7
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Title
Quantum many-body physics : a perspective on strong correlations / Yoshio Kuramoto.
ISBN
9784431553939 (electronic book)
4431553932 (electronic book)
9784431553922
4431553932 (electronic book)
9784431553922
Published
Tokyo : Springer, 2020.
Language
English
Description
1 online resource (xi, 261 pages) : illustrations.
Item Number
10.1007/978-4-431-55393-9 doi
Call Number
QC174.17.P7
Dewey Decimal Classification
530.14/4
Summary
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 examples-hydrogen and oxygen molecules-based 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 author's 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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed February 21, 2020).
Series
Lecture notes in physics ; 934.
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