Below you will find a list of suggested topics for the Term Paper for this class, Physics 498: The Physics of Strongly Correlated Systems. You will also find the relevant bibliography for each topic.

The Physics of the Haldane Gap State in one-dimensional systems.

Quantum Spin Ladders.

Quantum Dimer Models.

Nodal Liquids and the quantum disordered phases of high Tc superconductors.

Gauge Theories and Strongly Correlated Systems.

Theory of Quantum Critical Behavior.

Bosonization of Fermi Liquids.

Non-Abelian bosonization of quantum spin chains.

Renormalization Group approach to Fermi Fluids.

Flux Phases and Spin Liquids.

BCS theory of anisotropic superconductors.

Separation of Spin and Charge quantum numbers.

Numerical simulations of strongly correlated systems.

Stripes and high Tc superconductivity.

Liquid Crystal Phases of Strongly Correlated Systems.

Chiral Spin Liquids and Anyons.

Large-N Theory of strongly correlated systems.

Luttinger Liquids in one dimension.

Competing orders in high Tc superconductors: SO(5).

D-wave superconductors and boundary states.

Quantum impurities in Fermi Liquids.

Quantum impurities in D-wave superconductors.

Hierarchical theories of the fractional quantum Hall effect.

Chern Simons theories of the fractional quantum Hall effect.