Superfrustration of lattice fermions
Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)Abstract
The term superfrustration refers to massive ground
state degeneracy in supersymmetric lattice models for
itinerant fermions with strong repulsive interactions,
in dimension D>1. In general, quantum phases of lattice
fermions are hard to track, due to lack of analytic
methods and fundamental difficulties in numerical analysis.
I will show how supersymmetry improves this situation
and leads to exact results on the number and nature of
quantum gound states. Superfrustration is established
by showing that on a variety of 2D lattices the
supersymmetric model has extensive ground state entropy