Highly-enhanced propagation of long-range kinks in heterogeneous media
arXiv:2401.06700 · doi:10.1007/jhep10(2024)042
Abstract
We investigate a field-theoretical model that describes the interaction between kinks and antikinks and between kinks and other heterogeneous fields and impurities. We show that the long-range kink can tunnel through a barrier created by heterogeneous fields and impurities even when the energy of the center of mass of the kink is less than the height of the energy barrier. We also study the conditions under which the kink can pass freely through a disordered medium. We introduce the concept of "effective translational symmetry". We compare our results with those from recent papers published in this journal, where the Bogomol'nyi-Prasad-Sommerfield property is discussed.
52 pages, 36 figures
References in corpus (12)
- Nature of the superconductor-insulator transition in disordered superconductors
- Localized Superconductivity in the Quantum-Critical Region of the Disorder-Driven Superconductor-Insulator Transition in TiN Thin Films
- Enhanced Macroscopic Quantum Tunneling in BiSrCaCuO Intrinsic Josephson Junction Stacks
- Spectral Walls in Soliton Collisions
- Collective transport in the insulating state of Josephson junction arrays
- The model with the BPS preserving defect
- Kink-antikink collisions in the model: short-range to long-range journey
- Geometrically constrained kinklike configurations engendering long range, double exponential, half-compact and compact behavior
- Ac-induced thermal vortex escape in magnetic-field-embedded long annular Josephson junctions
- Long range vortex configurations in generalized models with the Maxwell or Chern-Simons dynamics
- Maxwell-scalar system and scalar field with impurity: novel approach to find nontrivial solutions
- Novel Superposed Kinklike and Pulselike Solutions for Several Nonlocal Nonlinear Equations