Statistical Mechanics Ph 832 - Schedule of lectures

J. Ruvalds

University of Virginia, Physics Department

Date

Lecture

Reference

Wed. 8/30

High Temperature Superconductors -

M. Tinkham, "Introduction to

Contrast with conventional metals

Superconductivity"

Ginzburg-Landau Theory

Fri. 9/1

Magnetic field penetration depth

Fermi statistics in metals and nuclei

Heat capacity & Magnetic susceptibility

Mon. 9/4

Coulomb interaction in metals

Drude conductivity

Landau Fermi Liquid - FL theory

Breakdown of FL theory in high Tc superconductors

Wed. 9/6

Energy gap and electron pair symmetry

Conventional superconductors - s-wave isotropic gap

High Tc superconductors; d-wave pairing

J. Ruvalds, Superconductor

Science and Technology 9,

905 (1996)

Coulomb repulsion versus phonon exchange forces

Fri. 9/8

BCS Theory - isotropic pairing

J.R. Schrieffer, "Theory of

Electron-Phonon coupling

Superconductivity"

Failure of perturbation theory

Mon. 9/11

Superconducting electron pairs

Transition temperature - BCS limit

Migdal Theorem

Wed. 9/13

BCS Energy gap

Nuclear Spin Relaxation

Spin coherence factors

Fri. 9/15

Electromagnetic absorption

Mon. 9/25

Spontaneous symmetry breaking

Wed. 9/27

Many-Body techniques

Field operators

Fri. 9/29

Random Phase approximation - RPA

Mon. 10/2

Charge Density Waves

Phonon self energy

Reduced Dimensionality

Wed. 10/4

Spin Density Waves

Chromium and rare earth metals

Organic quasi-1 dimensional metals

Fri. 10/6

Field theory methods applied to superconductivity

Mon. 10/9

Electron mass renormalization

Wed. 10/11

Ladder series method (BCS) for electron pairing

Fri. 10/13

Energy gap equation

Mon. 10/16

Nuclear Physics applications

A. Fetter and D. Walecka,: "Quantum

Theory of Many-Particle Systems:"

Wed. 10/18

Electron scattering from nuclei

Fri. 10/20

Pion mass renormalization in nuclear matter

Mon. 10/23

Reading holiday - no class

Wed. 10/25

Pion-pion scattering

Fri. 10/27

Neutron stars and proton superconductors

Mon. 10/30

Symmetry breaking and quark confinement

T.D. Lee, "Particle Physics and

Introduction to Field theory"

Wed. 11/1

Chiral symmetry and antiferromagnetism

Fri. 11/3

Charge conjugation and pion decay - Furry's theorem

Mon. 11/6

Singularities in Field Theory

Wed. 11/8

Key puzzles of high Tc superconductors

Fri. 11/10

Electron mass divergence in high Tc superconductors

Mon. 11/13

Competition of d-wave superconductivity and

antiferromagnetism

Wed. 11/15

Theories of High temperature Superconductors

Fri. 11/17

Fermi Surface nesting

Spin Density Waves

Mon. 11/20

Nested electron collision damping

Nested Fermi Liquid Theory - NFL

Divergent spin susceptibility

Wed. 11/22

Thanksgiving Holiday - no class

Fri. 11/24

Thanksgiving Holiday - no class

Mon. 11/27

Coulomb Mechanism for d-wave superconductivity

Wed. 11/29

Hubbard Model Theorem

D. Djajaputra and J. Ruvalds

Sol. State Comm. 108, 899 (1998)

Fri. 12/1

Does a Fermi surface exist in high Tc superconductors?

Electron mass divergence problem.

Mon. 12/4

Theory of divergent contributions to susceptibility in

high Tc superconductors

D. Djajaputra and J. Ruvalds

Neutron scattering experiments

Sol. State Comm. 111, 199 (1999)

Wed. 12/6

Class presentation

Fri. 12/8

Class presentation