Quantum liquids : Bose condensation and Cooper pairing in condensed-matter systems / A.J. Leggett.

Format:

Book

Author/Creator:

Leggett, A. J. (Anthony J.)

Series:

Oxford graduate texts.

Oxford graduate texts

Language:

English

Subjects (All):

Superconductivity.

Quantum liquids.

Condensation.

Physical Description:

1 online resource (405 p.)

Place of Publication:

Oxford ; New York : Oxford University Press, 2006.

Language Note:

English

Summary:

Starting from first principles, this book introduces the closely related phenomena of Bose condensation and Cooper pairing, in which a very large number of single particles or pairs of particles are forced to behave in exactly the same way, and explores their consequences in condensed matter systems. Eschewing advanced formal methods, the author uses simple concepts and arguments to account for the various qualitatively new phenomena which occur in Bose-condensed and Cooper-pairedsystems, including but not limited to the spectacular macroscopic phenomena of superconductivity and superfluidity.

Contents:

Contents; Preface; List of symbols; 1 Quantum liquids; 1.1 Indistinguishability and the symmetry of the many-body wave function; 1.2 The Fermi-Dirac and Bose-Einstein distributions: BEC in a noninteracting gas; 1.3 Cooper pairing; 1.4 The experimental systems; 1.5 Superconductivity and superfluidity: basic phenomenology; Appendix; 2 BEC: Its definition, origin, occurrence, and consequences; 2.1 Definition of BEC in an interacting system; 2.2 The order parameter and the superfluid velocity; alternative definitions of BEC; 2.3 Why should BEC occur in an interacting system? When does it (not)?

2.4 Pseudo-BEC in a Fermi system (Cooper pairing)2.5 The consequences of BEC: preview of coming attractions; 2.6 Fragmented BEC; Appendices; 3 Liquid [sup(4)]He; 3.1 Anomalous properties of the He-II phase; 3.2 Direct evidence for BEC in He-II; 3.3 The two-fluid model of He-II: static effects; 3.4 The two-fluid model: dynamical effects; 3.5 Quantized vortices, phase slip and the Josephson effect; 3.6 The excitation spectrum of liquid He-II; 3.7 Microscopic theories of He-II; 4 The Bose alkali gases; 4.1 The atoms: structure, trapping, and diagnostics

4.2 s-wave scattering and effective interaction4.3 The Gross-Pitaevskii equation: some simple applications; 4.4 The Bogoliubov approximation; 4.5 Coherence and interference in dilute alkali Bose gases; 4.6 Optical lattices; 4.7 Signatures of superfluidity in the BEC alkali gases; Appendix; 5 Classical superconductivity; 5.1 The normal state; 5.2 The effective electron-electron interaction; 5.3 The Cooper instability; 5.4 BCS theory at T = 0; 5.5 Excited states and finite-temperature BCS theory; 5.6 The two-fluid model for superconductors: the Meissner effect; 5.7 The Ginzburg-Landau theory

5.8 Generalizations of BCS: the "non-pair-breaking" case5.9 Pair-breaking effects; 5.10 The Josephson effect; Appendices; 6 Superfluid [sup(3)]He; 6.1 The normal phase of liquid [sup(3)]He; 6.2 Anisotropic Cooper pairing; 6.3 Generalized Ginzburg-Landau approach: spin fluctuation feedback; 6.4 Spontaneously broken spin-orbit symmetry and spin dynamics; 6.5 Supercurrents, textures and defects; Appendix; 7 Cuprate superconductivity; 7.1 Introduction; 7.2 The cuprates: composition, structure, and phase diagram; 7.3 The cuprates: principal experimental properties

7.4 Normal state at optimal doping7.5 The "pseudogap" regime; 7.6 Superconducting state; 7.7 Some preliminary comments on the experimental data; 7.8 What do we know for sure about cuprate superconductivity?; 7.9 The cuprates: questions and ideas; 7.10 Novel consequences of Cooper pairing in the cuprates; Appendices; 8 Miscellaneous topics; 8.1 Noncuprate "exotic" superconductors; 8.2 Liquid [sup(3)]He in aerogel; 8.3 Supersolids; 8.4 Fermi alkali gases: the BEC-BCS crossover; Appendix; Bibliography; Index; A; B; C; D; E; F; G; H; I; J; K; L; M; N; O; P; Q; R; S; T; U; V; W; Z

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 373-379) and index.

Description based on print version record.

Description based on publisher supplied metadata and other sources.

ISBN:

0-19-103721-4

1-280-76126-1

9786610761265

0-19-152354-2

1-4294-6924-2

OCLC:

132687866