Hole on a stripe in a spinless fermion model

TL;DR

This paper investigates the behavior of holes moving along stripes in a spinless fermion model, using a mapping to a one-dimensional problem, variational wavefunctions, and exact diagonalization to analyze their transport properties.

Contribution

It introduces a novel approach to study hole transport on stripes in a spinless fermion model by mapping the problem to a 1D system and comparing variational and exact solutions.

Findings

Single-hole motion mapped to 1D problem

Variational wavefunction provides accurate energy estimates

Comparison with exact diagonalization validates the approach

Abstract

In the spinless fermion model on a square lattice with infinite nearest-neighbor repulsion, holes doped into the half-filled ordered state form stripes which, at low doping, are stable against phase separation into an ordered state and a hole-rich metal. Here we consider transport of additional holes along these stripes. The motion of a single hole on a stripe is mapped to a one-dimensional problem, a variational wavefunction is constructed and the energy spectrum is calculated and compared to energies obtained by exact diagonalization.