Collective Excitations in Unconventional Superconductors and Superfluids

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World Scientific, Nov 20, 2009 - Collective excitations - 859 pages
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This is the first monograph that strives to give a complete and detailed description of the collective modes (CMs) in unconventional superfluids and superconductors (UCSF&SC). Using the most powerful method of modern theoretical physics OCo the path (functional) integral technique OCo authors build the three- and two-dimensional models for s -, p - and d -wave pairing in neutral as well as in charged FermiOCosystems, models of superfluid BoseOCosystems and FermiOCoBoseOComixtures. Within these models they study the collective properties of such systems as superfluid 3 He, superfluid 4 He, superfluid 3 He- 4 He mixtures, superfluid 3 He-films, superfluid 3 He and superfluid 3 He- 4 He mixtures in aerogel, high temperature superconductors, heavy-fermion superconductors, superconducting films etc. Authors compare their results with experimental data and predict a lot of new experiments on CMs study. This opens for experimentalists new possibilities for search of new intriguing features of collective behavior of UCSF&SC. The monograph creates the new scientific direction OCo the spectroscopy of collective modes in unconventional superfluids and superconductors. It will be useful for both theorists and experimentalists, studying superfluids and superconductors, low temperature physics, condensed matter physics, solid state physics. It could be used by graduate students specializing in the same areas. Sample Chapter(s). Introduction (162 KB). Chapter 1: Functional Integration Method (369 KB). Contents: Functional Integration Method; Collective Excitations in Superfluid Fermi-Systems with s OCoPairing; Superfluid Phases in 3 He; The Model of 3 He; Collective Excitations in the B OCoPhase of 3 He; Collective Excitations in the A OCoPhase of 3 He; Stability of Goldstone Modes; Influence of Dipole Interaction and Magnetic Field on Collective Excitations; The Influence of the Electric Field on the Collective Excitations in 3 He and 4 He; The Order Parameter Distortion and Collective Modes in 3 HeOCo B; Collective Excitations in the Planar 2 D OCoPhase of Superfluid 3 He; Collective Excitations in the PolarOCoPhase; Superfluidity of TwoOCoDimensional and One-Dimensional Systems; BoseOCoSpectrum of Superfluid Solutions 3 He- 4 He; Novel Sound Phenomena in Impure Superfluids; Collective Modes in the HeavyOCoFermion Superconductors; Other Application of the Theory of Collective Excitations. Readership: Graduate and postgraduate students, researchers (theorists and experimentalists), in low temperature physics, superconductivity and condensed matter physics."
 

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Contents

I Functional Integration Method
1
II Collective Excitations in Superfluid FermiSystems with sPairing
31
III Sound Propagation in Superfluid 3He and Superconductors
57
IV Superfluid Phases in 3He
65
V The Model of 3He
83
VI Collective Excitations in the BPhase of 3H
103
VII Collective Excitations in the APhase of 3He
151
VIII Identification of 3НеA by Ultrasound Experiments
203
XIX Superfluidity of TwoDimensional and OneDimensional Systems
399
XX BoseSpectrum of Superfluid Solutions 3He4He
489
XXI Novel Sound Phenomena in Impure Superfluids
529
XXII Path Integral Approach to the Theory of Crystals
571
XXIII Effective Interaction of Electrons Near the FermiSurface
589
XXIV The Path Integral Models of p and dPairing for Bulk Superconductors
599
XXV High Temperature Superconductors HTSC and Their Physical Properties
607
XXVI Symmetry of Order Parameter in HTSC
623

IX Stability of Goldstone Modes
217
X Influence of Dipole Interaction and Magnetic Field on Collective Excitations
241
XI The Influence of the Electric Field on the Collective Excitations in 3He and 4He
261
XII The Order Parameter Distortion and Collective Modes in 3HeВ
285
XIII Splitting of the Squashing Mode and the Method of Superfluid Velocity Measurement in 3HeВ
321
XIV Superfluid Phase of 3HeB Near the Boundary
331
XV Collective Excitations in the Planar 2DPhase of Superfluid 3He
345
XVI Dispersion Induced Splitting of the Collective mode Spectrum in Axial and PlanarPhases of Superfluid 3He
355
XVII Collective Excitations in the PolarPhase
385
XVIII Collective Mode Spectrum in A1Phase of Superfluid 3He
391
XXVII DPairing in HTSC
711
XXVIII How to Distinguish the Mixture of Two dWave States from Pure dWave State of HTSC
721
XXIX pWave Superconductors
741
XXX Two Dimensional p and dWave Superconductivity
755
XXXI Collective Modes in the HeavyFermion Superconductors
765
XXXII Other Application of the Theory of Collective Excitations 3
775
References
781
About the Authors
811
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