Physics (Internal)

Hybrid Monte Carlo simulation of graphene

This event is part of the Condensed Matter Theory Seminar Series.

Abstract:
Abstract: I will briefly review the Hamiltonian of the graphene
system and show how the partition function and Green’s functions
for the quadratic Hamiltonian can be expressed in path integral
form by using fermion coherent states. I will then show how one
can incorporate the Coulomb interaction into the path integral
and how this can be simulated with the hybrid Monte Carlo
technique. I will compare the results of the simulation with
exact Green’s functions in an extremely simplified two-site model.

(Based on research done in collaboration with Richard Brower and
David Schaich)