Exact ground states of a staggered supersymmetric model for lattice fermions

Abstract

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.

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

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• Complexity of Supersymmetric Systems and the Cohomology Problem
• Exact ground states of correlated electrons on pentagon chains
• Quench Dynamics in Two-Dimensional Integrable SUSY Models
• M${}_k$ models: the field theory connection
• Bethe ansatz solvability and supersymmetry of the $M_2$ model of single fermions and pairs
• A staggered fermion chain with supersymmetry on open intervals
• Supersymmetry on the honeycomb lattice: resonating charge stripes, superfrustration, and domain walls
• Spinon bases in supersymmetric CFTs
• Supersymmetry dynamics on Rydberg atom arrays
• Emergent spacetime supersymmetry at 2D fractionalized quantum criticality