Supersymmetric Model of Spin-1/2 Fermions on a Chain

TL;DR

This paper introduces a new supersymmetric model for spin-1/2 fermions on a lattice, revealing ground states that correspond to holes in an antiferromagnetic background, advancing the theoretical understanding of correlated fermionic systems.

Contribution

It develops a lattice model with manifest N=4 supersymmetry for spin-1/2 fermions, extending previous supersymmetric approaches to include spin and analyzing its properties.

Findings

Identification of supersymmetric ground states as holes in an antiferromagnetic background

Extension of supersymmetry methods to spin-1/2 fermions on a lattice

Analysis of the model's properties and ground state structure

Abstract

In recent work, N=2 supersymmetry has been proposed as a tool for the analysis of itinerant, correlated fermions on a lattice. In this paper we extend these considerations to the case of lattice fermions with spin 1/2 . We introduce a model for correlated spin-1/2 fermions with a manifest N=4 supersymmetry, and analyze its properties. The supersymmetric ground states that we find represent holes in an anti-ferromagnetic background.