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Lecture Notes in Physics

Quantum Many-Body Physics

A Perspective on Strong Correlations

Authors: Kuramoto, Yoshio

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  • An essential primer on many-body particle physics -- from perturbation theory to DMFT
  • Explains advanced theoretical concepts in a self-contained manner
  • Presents renormalization and bosonization with explicit examples for Kondo effect and superconductivity
  • Highlights fractional statistics in one and two dimensions
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About this book

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-Tsuperconductivity 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.

About the authors

Yoshio Kuramoto is a Professor at the KEK and Professor Emeritus at Tohoku University. His work chiefly involves condensed matter theory, and has particularly contributed to the construction of a theoretical scheme called the non-crossing approximation (NCA). He has also pioneered a scheme on dynamics of the Anderson lattice. He has lectured on many-particle physics at the Department of Physics, Tohoku University and at other universities for many years.

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook $59.99
price for USA in USD (gross)
  • ISBN 978-4-431-55393-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $74.99
price for USA in USD
  • ISBN 978-4-431-55392-2
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Quantum Many-Body Physics
Book Subtitle
A Perspective on Strong Correlations
Authors
Series Title
Lecture Notes in Physics
Series Volume
934
Copyright
2020
Publisher
Springer Japan
Copyright Holder
Springer Japan KK, part of Springer Nature
eBook ISBN
978-4-431-55393-9
DOI
10.1007/978-4-431-55393-9
Softcover ISBN
978-4-431-55392-2
Series ISSN
0075-8450
Edition Number
1
Number of Pages
XI, 261
Number of Illustrations
38 b/w illustrations, 3 illustrations in colour
Topics

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