Exact ground states of a staggered supersymmetric model for lattice fermions

Details Exact ground states of a staggered supersymmetric model for lattice fermions Exact ground states of a staggered supersymmetric model for lattice fermions

2011-03-07

arxiv.org/abs/1103.1368v2

Phys. Rev. B 84, 115124 (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

21 pages, 6 figures, v2: largely rewritten version with more emphasis on physical interpretation

Scientific paper

10.1103/PhysRevB.84.115124

We study a supersymmetric model for strongly interacting lattice fermions in the presence of a staggering parameter. The staggering is introduced as a tunable parameter in the manifestly supersymmetric Hamiltonian. We obtain analytic expressions for the ground states in the limit of small and large staggering for the model on the class of doubly decorated lattices. On this type of lattice there are two ground states, each with a different density. In one limit we find these ground states to be a simple Wigner crystal and a valence bond solid (VBS) state. In the other limit we find two types of quantum liquids. As a special case, we investigate the quantum liquid state on the one dimensional chain in detail. It is characterized by a massless kink that separates two types of order.

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