04734nam 2200637Ia 450 991081102390332120230829003003.01-281-91942-X9786611919429981-277-436-X(CKB)1000000000551836(EBL)1214449(SSID)ssj0000293884(PQKBManifestationID)12098274(PQKBTitleCode)TC0000293884(PQKBWorkID)10302946(PQKB)11448629(MiAaPQ)EBC1214449(WSP)00006011(Au-PeEL)EBL1214449(CaPaEBR)ebr10698868(CaONFJC)MIL191942(OCoLC)854972454(EXLCZ)99100000000055183620060713d2006 uy 0engur|n|---|||||txtccrDiagrammatics[electronic resource] lectures on selected problems in condensed matter theory /Michael V. SadovskiiSingapore ;Hackensack, NJ World Scientificc20061 online resource (359 p.)Description based upon print version of record.981-256-639-2 Includes bibliographical references.Preface; Contents; 1 Introduction; 1.1 Quasiparticles and Green's functions; 1.2 Diagram technique. Dyson equation; 1.3 Green's functions at finite temperatures; 2 Electron-Electron Interaction; 2.1 Diagram rules; 2.2 Electron gas with Coulomb interaction; 2.3 Polarization operator of free electron gas at T = 0; 2.4 Dielectric function of an electron gas; 2.5 Electron self-energy effective mass and damping of quasiparticles; 2.6 RKKY-oscillations; 2.7 Linear response; 2.8 Microscopic foundations of Landau-Silin theory of Fermi-liquids; 2.9 Interaction of quasiparticles in Fermi-liquid2.10 Non-Fermi-liquid behavior3 Electron-Phonon Interaction; 3.1 Diagram rules; 3.2 Electron self-energy; 3.3 Migdal theorem; 3.4 Self-energy and spectrum of phonons; 3.5 Plasma model; 3.6 Phonons and fluctuations; 4 Electrons in Disordered Systems; 4.1 Diagram technique for ""impurity"" scattering; 4.2 Single-electron Green's function; 4.3 Keldysh model; 4.4 Conductivity and two-particle Green's function; 4.5 Bethe-Salpeter equation ""diffuson"" and ""Cooperon""; 4.6 Quantum corrections self-consistent theory of localization and Anderson transition; 4.6.1 Quantum corrections to conductivity4.6.1.1 Technical details4.6.1.2 ""Poor man"" interpretation of quantum corrections; 4.6.2 Self-Consistent Theory of Localization; 4.6.2.1 Metallic phase; 4.6.2.2 Anderson insulator; 4.6.2.3 Frequency dispersion of the generalized diffusion coefficient; 4.7 ""Triangular"" vertex; 4.8 The role of electron-electron interaction; 5 Superconductivity; 5.1 Cooper instability; 5.2 Gorkov equations; 5.3 Superconductivity in disordered metals; 5.4 Ginzburg-Landau expansion; 5.5 Superconductors in electromagnetic field; 6 Electronic Instabilities and Phase Transitions; 6.1 Phonon spectrum instability6.2 Peierls dielectric6.3 Peierls dielectric with impurities; 6.4 Ginzburg-Landau expansion for Peierls transition; 6.5 Charge and spin density waves in multi-dimensional systems. Excitonic insulator; 6.6 Pseudogap; 6.6.1 Fluctuations of Peierls short-range order; 6.6.2 Electron in a random field of fluctuations; 6.6.3 Electromagnetic response; 6.7 Tomonaga-Luttinger model and non Fermi-liquid behavior; Appendix A Fermi Surface as Topological Object; Appendix B Electron in a Random Field and Feynman Path Integrals; BibliographyThe introduction of quantum field theory methods has led to a kind of "revolution" in condensed matter theory. This resulted in the increased importance of Feynman diagrams or diagram technique. It has now become imperative for professionals in condensed matter theory to have a thorough knowledge of this method.There are many good books that cover the general aspects of diagrammatic methods. At the same time, there has been a rising need for books that describe calculations and methodical "know how" of specific problems for beginners in graduate and postgraduate courses. This unique collectionCondensed matterQuantum field theoryFeynman diagramsCondensed matter.Quantum field theory.Feynman diagrams.530.4/1Sadovskii M. V(Mikhail Vissarionovich),1948-521356MiAaPQMiAaPQMiAaPQBOOK9910811023903321Diagrammatics833274UNINA