Extensive ground state entropy in supersymmetric lattice models

Abstract

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.

7 figures

References in corpus (4)

• Lattice Models with N=2 Supersymmetry
• Lattice fermion models with supersymmetry
• Exact results for strongly-correlated fermions in 2+1 dimensions
• Hard squares with negative activity

Cited by in corpus (24)

• Complete random matrix classification of SYK models with $\mathcal{N}=0$, $1$ and $2$ supersymmetry
• Many-Body Spectral Reflection Symmetry and Protected Infinite-Temperature Degeneracy
• Charge frustration and quantum criticality for strongly correlated fermions
• Exact ground states of a staggered supersymmetric model for lattice fermions
• Superfrustration of charge degrees of freedom
• Supersymmetric lattice fermions on the triangular lattice: superfrustration and criticality
• Area law violations in a supersymmetric model
• Critical Properties of an Integrable Supersymmetric Eletronic Model
• Detailed analysis of the continuum limit of a supersymmetric lattice model in 1D
• Complexity of Supersymmetric Systems and the Cohomology Problem
• Floquet Supersymmetry
• Order and supersymmetry at high filling zero energy states on the triangular lattice
• Fermionic quantum dimer and fully-packed loop models on the square lattice
• A curious mapping between supersymmetric quantum chains
• Characterization of degenerate supersymmetric ground states of the Nicolai supersymmetric fermion lattice model by symmetry breakdown
• Ground states of Nicolai and ${\mathbb{Z}}_2$ Nicolai models
• Bethe ansatz solvability and supersymmetry of the $M_2$ model of single fermions and pairs
• On the ground states of the $M_{\ell }$ models
• Supersymmetry and multicriticality in a ladder of constrained fermions
• Hard squares on cylinders revisited
• Supersymmetry on the honeycomb lattice: resonating charge stripes, superfrustration, and domain walls
• Graph colouring and the total Betti number
• Upper bounds on the Witten index for supersymmetric lattice models by discrete Morse theory
• On supersymmetric fermion lattice systems