Quantum phases of supersymmetric lattice models

Details Quantum phases of supersymmetric lattice models Quantum phases of supersymmetric lattice models

2009-10-13

arxiv.org/abs/0910.2386v1

Physics

Mathematical Physics

5 pages, 1 figure, 1 table, contribution to the proceedings of the XVI International Congress on Mathematical Physics (2009) i

Scientific paper

We review recent results on lattice models for spin-less fermions with strong repulsive interactions. A judicious tuning of kinetic and interaction terms leads to a model possessing supersymmetry. In the 1D case, this model displays critical behavior described by superconformal field theory. On 2D lattices we generically find superfrustration, characterized by an extensive ground state entropy. For certain 2D lattices analytical results on the ground state structure reveal yet another quantum phase, which we tentatively call 'supertopological'.

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