Lattice Bosons

TL;DR

This paper explores lattice bosons, which are bosonic excitations emerging from fermionic systems on a lattice, independent of interactions, especially near the band edges in Dirac Hamiltonians.

Contribution

It introduces the concept of lattice bosons in the context of the Dirac Hamiltonian, highlighting their universal existence regardless of fermion interactions.

Findings

Lattice bosons appear near the empty or nearly full bands.

These excitations are independent of fermion-fermion interaction strength.

Lattice bosons are present in the Dirac Hamiltonian framework.

Abstract

Fermions on the lattice have bosonic excitations generated from the underlying periodic background. These, the lattice bosons, arise near the empty band or when the bands are nearly full. They do not depend on the nature of the interactions and exist for any fermion-fermion coupling. We discuss these lattice boson solutions for the Dirac Hamiltonian.