Strongly correlated fermions on a kagome lattice

TL;DR

This paper investigates strongly correlated spinless fermions on a kagome lattice at 1/3 filling, deriving an effective Hamiltonian and analyzing spectral functions to explore fractional charge confinement phenomena.

Contribution

It introduces an effective Hamiltonian for strongly correlated fermions on a kagome lattice and provides numerical spectral function analysis using exact diagonalization.

Findings

Evidence of potential fractional charge confinement/deconfinement signatures

Numerical spectral functions revealing correlation effects

Insights into strongly correlated fermion behavior on kagome lattices

Abstract

We study a model of strongly correlated spinless fermions on a kagome lattice at 1/3 filling, with interactions described by an extended Hubbard Hamiltonian. An effective Hamiltonian in the desired strong correlation regime is derived, from which the spectral functions are calculated by means of exact diagonalization techniques. We present our numerical results with a view to discussion of possible signatures of confinement/deconfinement of fractional charges.