Fermion bound states from Yukawa coupling with periodic bosonic background

Abstract

The Yukawa coupling of fermions with a periodic bosonic background is shown to give rise to several bound states to the fermionic spectrum, with some bound states gluing together around specific energy eingenvalues as the Yukawa coupling increases. This effect induces the presence of degenerate energy states inside the fermionic gap and may be of current interest.

to appear in EPJ C as a letter

References in corpus (8)

• The electronic properties of graphene
• Dirac materials
• Graphene nanoribbons for quantum electronics
• Magnetic domain walls in constrained geometries
• Imaging moiré deformation and dynamics in twisted bilayer graphene
• Simulation and measurement of the fractional particle number in one-dimensional optical lattices
• Topological Domain Walls in Graphene Nanoribbons with Carrier Doping
• Kink Crystal

Cited by in corpus (3)

• Exact BPS double-kinks in generalized ${\varphi }^4$, ${\varphi }^6$ and sine-Gordon models
• Sine-Gordon kink lattice
• Geometrically constrained multi-kink configurations in generalized impurity-doped field theories