Remarks on sine-Gordon kink--fermion system: localized modes and scattering

Abstract

We study numerically the kink-fermion interactions in a 1+1 dimensional toy model, which describes sine-Gordon kinks coupled to the massless Dirac fermions with backreaction. We show that the spectrum of fermionic modes strongly depends on the choice of the coupling, in particular, there are no localized modes for a minimal Yukawa coupling. We analyze the scattering of the fermionic packet by the kink. We demonstrate that the outcome of the collision dynamically depends on the phase of the incoming fermion packet, it results in alternating regimes of positive and negative acceleration of the kink.

arXiv comment22 pages, 6 figures; v2: final/published version

References in corpus (35)

• Supersymmetry and Quantum Mechanics
• Kink-antikink collisions in the phi^6 model
• Fermions on Thick Branes in the Background of Sine-Gordon Kinks
• Long-range interactions of kinks
• Kink excitation spectra in the (1+1)-dimensional ${\phi }^8$ model
• Scattering of the ${\phi }^8$ kinks with power-law asymptotics
• Scattering of the double sine-Gordon kinks
• Successive phase transitions and kink solutions in ${\varphi }^8$, ${\varphi }^{10}$, and ${\varphi }^{12}$ field theories
• phi^4 Kinks - Gradient Flow and Dynamics
• From Kinks to Compactons
• Remarks on bell-shaped lumps: stability and fermionic modes
• Negative radiation pressure exerted on kinks
• Kinks and antikinks of buckled graphene: A testing ground for phi^4 field model
• Fermions on Colliding Branes
• Fermions on one or fewer Kinks
• Family of Potentials with Power-Law Kink Tails
• Kinks bounded by fermions
• Fermions on the kink revisited
• Particle transfer in braneworld collisions
• Breaking integrability at the boundary: the sine-Gordon model with Robin boundary conditions
• Example of a self-consistent solution for a fermion on domain wall
• Exotic Final States in the ${\phi }^8$ Multi-Kink Collisions
• Soliton solutions of the fermion-Skyrmion system in (2+1) dimensions
• Resonance structures in kink-antikink collisions in a deformed sine-Gordon model
• Forced Topological Nontrivial Field Configurations
• Magnetic Skyrmions coupled to fermions
• Manipulating graphene kinks through positive and negative radiation pressure effects
• Stable branches of a solution for a fermion on domain wall
• Fermion transfer in the ${\varphi }^4$ model with a half-BPS preserving impurity
• Logarithmic Potential with Super-Super-Exponential Kink Profiles and Tails
• Wide Class of Logarithmic Potentials with Power-Tower Kink Tails
• Kink-antikink collision in the supersymmetric ${\varphi }^4$ model
• Fermion bound states in geometrically deformed backgrounds
• Scattering of fermionic isodoublets on the sine-Gordon kink
• Fermions on wobbling kinks: normal versus quasinormal modes