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Graduate Texts in Physics

Statistical Mechanics of Superconductivity

Authors: Kita, Takafumi

  • Familiarizes readers with major concepts and techniques of modern theoretical physics through the study of superconductivity
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  • Provides careful and detailed mathematical derivations understandable by beginners
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  • Guides students of superconductivity on which topics to study in mathematics and modern theoretical physics
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  • Demonstrates clearly both the coherence of the Cooper-pair condensation and the origin of superfluidity
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Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-4-431-55405-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.99
price for USA
valid through October 16, 2017
  • ISBN 978-4-431-55404-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $89.99
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: December 15, 2016
  • ISBN 978-4-431-56414-0
  • Free shipping for individuals worldwide
About this Textbook

This book provides a theoretical, step-by-step comprehensive explanation of superconductivity for undergraduate and graduate students who have completed elementary courses on thermodynamics and quantum mechanics. To this end, it adopts the unique approach of starting with the statistical mechanics of quantum ideal gases and successively adding and clarifying elements and techniques indispensible for understanding it. They include the spin-statistics theorem, second quantization, density matrices, the Bloch–De Dominicis theorem, the variational principle in statistical mechanics, attractive interaction and bound states. Ample examples of their usage are also provided in terms of topics from advanced statistical mechanics such as two-particle correlations of quantum ideal gases, derivation of the Hartree–Fock equations, and Landau’s Fermi-liquid theory, among others. With these preliminaries, the fundamental mean-field equations of superconductivity are derived with maximum mathematical clarity based on a coherent state in terms of the Cooper-pair creation operator, a quasiparticle field for describing the excitation and the variational principle in statistical mechanics. They have the advantage that the phase coherence due to the Cooper-pair condensation can be clearly seen making the superfluidity comprehensible naturally. Subsequently, they are applied to homogeneous cases to describe the BCS theory for classic s-wave superconductors and its extension to the p-wave superfluidity of 3He. Later, the mean-field equations are simplified to the Eilenberger and Ginzburg–Landau equations so as to describe inhomogeneous superconductivity such as Abrikosov’s flux-line lattice concisely and transparently. Chapters provide the latest studies on the quasiclassical theory of superconductivity and a discovery of p-wave superfluidity in liquid 3He. The book serves as a standard reference for advanced courses of statistical mechanics with exercises along with detailed answers.

About the authors

Takafumi Kita is an associate professor at Department of Physics, Hokkaido University, Japan. He obtained a PhD from Department of Applied Physics, the University of Tokyo in 1988. He held positions at Institute of Solid State Physics, the University of Tokyo (1988-1993, research associate), at Department of Physics and Astronomy, University of Illinois at Urbana-Champaign (1991-1993, visiting scientist), and joined Hokkaido University subsequently. He spent a year in Germany (2000-2001) at University of Karlsruhe and at University of Bayreuth (half a year per each) as an overseas research fellow. He has been teaching quantum mechanics, thermodynamics, statistical mechanics, mathematical methods in physics, field theory in statistical mechanics, etc., over 20 years.

Reviews

“This book has a unique approach to formulating mean field theory of superconductivity especially in a way most useful for studying inhomogeneous and/or unconventional superconductors. Building up from the fundamental laws of thermodynamics and the basic techniques of statistical mechanics such that it is readable for students, it develops the Bogoliubov-de Gennes formalism of superconductivity. The book culminates in derivation of the quasiclassical theory of superconductivity and its application to description of vortex states. While it is informative and useful for researchers in the field, it is an excellent textbook – either as the main text or for supplementary reading – for a variety of graduate courses ranging from a standard class on statistical mechanics or condensed matter physics to more specialised classes such as one on superconductivity.” (Professor K.Tanaka, Department of Physics & Engineering Physics, University of Saskatchewan)

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Table of contents (17 chapters)

  • Review of Thermodynamics

    Kita, Takafumi

    Pages 1-12

  • Basics of Equilibrium Statistical Mechanics

    Kita, Takafumi

    Pages 13-23

  • Quantum Mechanics of Identical Particles

    Kita, Takafumi

    Pages 25-41

  • Statistical Mechanics of Ideal Gases

    Kita, Takafumi

    Pages 43-60

  • Density Matrices and Two-Particle Correlations

    Kita, Takafumi

    Pages 61-71

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-4-431-55405-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.99
price for USA
valid through October 16, 2017
  • ISBN 978-4-431-55404-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $89.99
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: December 15, 2016
  • ISBN 978-4-431-56414-0
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Statistical Mechanics of Superconductivity
Authors
Series Title
Graduate Texts in Physics
Copyright
2015
Publisher
Springer Japan
Copyright Holder
Springer Japan
eBook ISBN
978-4-431-55405-9
DOI
10.1007/978-4-431-55405-9
Hardcover ISBN
978-4-431-55404-2
Softcover ISBN
978-4-431-56414-0
Series ISSN
1868-4513
Edition Number
1
Number of Pages
XI, 289
Number of Illustrations and Tables
37 b/w illustrations
Topics