Quantum phases of supersymmetric lattice models

Authors
Publication date 2010
Host editors
  • P. Exner
Book title XVIth International Congress on Mathematical Physics (ICMP09), Prague, Czech Republic
ISBN
  • 9789814304627
Event XVIth International Congress on Mathematical Physics (ICMP09), Prague, Czech Republic
Pages (from-to) 635-639
Publisher Singapore: World Scientific
Organisations
  • Faculty of Science (FNWI) - Institute of Physics (IoP) - Institute for Theoretical Physics Amsterdam (ITFA)
Abstract 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'.
Document type Conference contribution
Language English
Published at https://doi.org/10.1142/9789814304634_0060
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