Exact results for strongly-correlated fermions in 2+1 dimensions
Paul Fendley, Kareljan Schoutens
TL;DR
This paper derives exact results for a 2D lattice model of strongly-interacting spinless fermions, revealing diverse ground states including frustration, quantum criticality, and super-frustration with extensive entropy, using supersymmetry techniques.
Contribution
It provides the first exact characterization of ground states in a strongly-correlated 2D fermion model through supersymmetry.
Findings
Ground states can be frustrated, quantum critical, or combine frustration with Wigner crystallization.
On generic lattices, the model exhibits an exotic super-frustrated state with extensive entropy.
The number and type of ground states are exactly determined.
Abstract
We derive exact results for a model of strongly-interacting spinless fermions hopping on a two-dimensional lattice. By exploiting supersymmetry, we find the number and type of ground states exactly. Exploring various lattices and limits, we show how the ground states can be frustrated, quantum critical, or combine frustration with a Wigner crystal. We show that on generic lattices, the model is in an exotic ``super-frustrated'' state characterized by an extensive ground-state entropy.
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