Peter Hirschfeld Advanced Solid State Physics Lecture Notes - Info and Reading Options

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

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