Extensive ground state entropy in supersymmetric lattice models

Details Extensive ground state entropy in supersymmetric lattice models Extensive ground state entropy in supersymmetric lattice models

2005-09-22

arxiv.org/abs/cond-mat/0509581v1

J. Math. Phys. 46, 123302 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

7 figures

Scientific paper

10.1063/1.2142836

We present the result of calculations of the Witten index for a supersymmetric lattice model on lattices of various type and size. Because the model remains supersymmetric at finite lattice size, the Witten index can be calculated using row-to-row transfer matrices and the calculations are similar to calculations of the partition function at negative activity -1. The Witten index provides a lower bound on the number of ground states. We find strong numerical evidence that the Witten index grows exponentially with the number of sites of the lattice, implying that the model has extensive entropy in the ground state.

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