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Quaite polished lecture notes on Advanced Solid State Physics by Prof Peter Hirschfeld of University of Florida. Obtained from the webpage: http://www.phys.ufl.edu/~pjh/teaching/phz7427/ accessed in 2013. Contents are: INTRODUCTION Goals in this course          . . Statistical mechanics of free Fermi gas    Second quantization          . . T = 0 Fermi sea  . T > 0 Free energy Avg. fermion number. Fermi gas at low T Classical limit  . Symmetry of many-particle wavefunctions   . Field operators         2nd-quantized Hamiltonian      Schr¨dinger, Heisenberg, interaction representations Phonons Review of simple harmonic oscillator quantization 1D harmonic chain        . . Debye Model          . Anharmonicity & its consequences    ELECTRON-ELECTRON INTERACTIONS Mean field theory (Hartree-Fock) Screening Validity of Hartree-Fock theory . . Problem with Hartree-Fock theory Elementary treatment Kubo formula  Correlation functions . Dielectric constant Lindhard function Thomas-Fermi theory Friedel oscillations Plasmons    . FERMI LIQUID THEORY Particles and holes          . Energy of quasiparticles       Residual quasiparticle interactions      . Local energy of a quasiparticle       . Thermodynamic properties       Quasiparticle relaxation time and transport properties. . Effective mass m∗ of quasiparticles      . QUANTUM MAGNETISM Ising model Quantum antiferromagnet     . Antiferromagnetic magnons    Quantum fluctuations in the ground state Nonlinear spin wave theory    Frustrated models       . . 1D & 2D Heisenberg magnets   Mermin-Wagner theorem     . . 1D: Bethe solution       . . 2D: Brief summary       . Itinerant magnetism       . Phase transition/critical point    . 1D solution by transfer matrix   Ferromagnetic domains      . Holstein-Primakoff transformation  Linear spin wave theory     . . Dynamical Susceptibility     . . Ferromagnetic magnons Atomic magnetic Hamiltonian    . Curie Law-free spins      Magnetic interactions      . . Stoner model for magnetism in metals  3.7.1 Moment formation in itinerant systems . 3.7.2 RKKY Interaction       . . 3.7.3 Kondo model         . ELECTRON-PHONON INTERACTION 4.1 Hamiltonian         Derivation of e -ph coupling    . . Jellium model        Screening         . . Polarons           . Bloch resistivity        . . Effective e− − e− interaction   SUPERCONDUCTIVITY Phenomenology           Electron-phonon interaction        . Cooper problem           . . Pair condensate & BCS Wavefctn     . . BCS Model            . Bogoliubov transformation . Density of states   . . Critical temperature  . . Specific heat   Linear response to vector potential Meissner Effect  . . Dynamical conductivity. GL Free Energy           . . Type I and Type II superconductivity     . Vortex Lattice            . Properties of Single Vortex. Lower critical field Hc1 Josephson Effect           . . GINZBURG-LANDAU THEORY Electrodynamics          . . BCS wave function, gauge invariance, and number conservation           Is the BCS order parameter general?     Thermodynamics QUANTUM TRANSPORT Disordered metals           . Localization            Boltzmann equation for impurities Anderson model     . . Weak Localization     . Scaling theory of localization  . . Universal conductance fluctuations . Effect of Magnetic Field   hc/e and hc/2e oscillations  Quantum Hall effect          . Mesoscopic transport          . Coulomb blockade