Physics 152B/232 : Final Project Topics
SUGGESTED TOPICS AND KEY CONCEPTS


Topic

Key Theory Concepts

Quantum Hall Effect

Landau levels, integer and fractional effects, quantum percolation, fractional charge and statistics, effects of disorder, metrology

Topological Insulators 
Topological band structures, geometric phases, Chern numbers, surface states, time reversal invariance, quantum spin Hall effect, KaneMele model 
Graphene 
Tight binding model, Dirac points, transport, multilayers, quantum Hall effect, effects of disorder, interactions 
Mesoscopic Transport 
Landauer formula, multichannel LandauerButtiker formula, universal conductance fluctuations, weak localization, quantum dots, Coulomb blockade 
Fermi Liquid Theory  Free energy functional, Landau parameters, thermodynamic stability, LandauBoltzmann equation, zero and first sound 
Density Functional Theory  The density functional, HohenbergKohn theorem, local density approximation, exchangecorrelation energy, applications to chemistry and physics 
Physics of Glasses  Structural glasses, low temperature properties, glass transition, two level systems, spin glasses, replica symmetry breaking 
Magnetic Impurities in Metals  Localized magnetic moments, Kondo effect, heavy fermions, mixed valency, Kondo insulators 
Magnetic Textures  Magnetic energy: exchange, anisotropy, DzyaloshinskiiMoriya, Zeeman; domains and domain walls, Skyrmions, magnetization dynamics, magnetic storage 
Magnetic Resonance  Bloch equations, spin echo, spinlattice relaxation, T1 vs. T2, motional narrowing, density matrices 