"Generalized Landau-level representation for spin-1/2 fermions and its applications"

Presented by Igor Shovkovy, Arizona State University

Friday, July 31, 2015, 2:00 pm — Small Seminar Room, Bldg. 510

I will discuss the recently proposed generalized Landau-level representation for charged
fermions in an external magnetic field. After demonstrating its key advantages over the other
existing representations, I will mention several of its applications. One of them is the quantum
Hall effect in graphene, where the new representation is essential for a sufficiently detailed
theoretical description, in which all the dynamical parameters are running functions of the
Landau-level index. The other application is the chiral asymmetry induced in dense relativistic
matter in an external magnetic field. The quantitative measure of such an asymmetry is the
chiral shift parameter that measures a relative shift of the longitudinal momenta (along the
direction of the magnetic field) in the dispersion relations of opposite chirality fermions.
Using the language of solid state physics, the corresponding ground state of dense relativistic
matter could be interpreted as a Weyl metal state. Incidentally, the exact same mechanism
also works in real Dirac metals.