Talks at Nordita Programs [before October 2010]

Supersymmetric models for lattice fermions: critical in 1D, frustrated in 2D

Name: Supersymmetric models for lattice fermions: critical in 1D, frustrated in 2D
Start: 2009-01-16T13:15:00+01:00
End: 2009-01-16T14:15:00+01:00
Location: No location set

by Liza Huijse (University of Amsterdam)

Friday 16 Jan 2009, 13:15 → 14:15 Europe/Stockholm

122:026

Description

We study a lattice model for strongly-interacting fermions with fine-tuned interactions such that they can be described by a supersymmetric Hamiltonian. In 1D this model is solved analytically and turns out to be quantum critical. The thermodynamic limit is described by an N=2 superconformal field theory. In 2D, the supersymmetry allows us to count the number of ground states analytically. For a wide variety of 2D lattices the answer is rather surprising: the number of ground states typically grows exponentially with the area of the lattice. The system is superfrustrated.