Quantum Many-Body Physics : A Perspective on Strong Correlations / by Yoshio Kuramoto.

Format:

Book

Author/Creator:

Kuramoto, Y. (Yoshio), Author.

Series:

Lecture Notes in Physics, 0075-8450 ; 934

Language:

English

Subjects (All):

Superconductivity.

Superconductors.

Solid state physics.

Magnetism.

Magnetic materials.

Low temperatures.

Statistical physics.

Strongly Correlated Systems, Superconductivity.

Solid State Physics.

Magnetism, Magnetic Materials.

Low Temperature Physics.

Statistical Physics and Dynamical Systems.

Local Subjects:

Strongly Correlated Systems, Superconductivity.

Solid State Physics.

Magnetism, Magnetic Materials.

Low Temperature Physics.

Statistical Physics and Dynamical Systems.

Physical Description:

1 online resource (XI, 261 p. 41 illus., 3 illus. in color.)

Edition:

1st ed. 2020.

Place of Publication:

Tokyo : Springer Japan : Imprint: Springer, 2020.

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.

Contents:

Perturbation theory and effective Hamiltonian

Itinerant and localized characters of electrons

Linear response and Green functions

Fermi liquid theory

Superconductivity

Kondo effect

One-dimensional fermions and bosonization

Fractionalization of charge and statistics

Many-body perturbation theory

Dynamical mean field theory.

Notes:

Includes index.

ISBN:

4-431-55393-2