Two-field models in the presence of impurities
arXiv:2409.03603 · doi:10.1016/j.chaos.2024.115950
Abstract
This work deals with systems of two real scalar fields coupled to impurity functions, meant to model inhomogeneities often encountered in real physical applications. We investigate the theoretical properties of these systems and some of the consequences of impurity doping. We show that the theory may be modified in a way that preserves some BPS sectors, while also greatly impacting the behavior and internal structure of the solution, and exemplify those results with an investigation of a few interesting models in which impurities are coupled to a theory with a quartic potential. It is shown that, in the presence of impurities, the asymptotic behavior of field configurations may be changed, leading to solutions with different long-range properties, which are relevant to several physical applications. Our examples also highlight other important consequences that may follow from the addition of impurities, such as the presence of zero-modes that can significantly change the internal structure of a given solution without altering its energy, the creation of new topological sectors that did not exist in the impurity-free theory, and the possibility of stable, nontrivial configurations generated by topologically trivial boundary conditions. We have also shown that it is sometimes possible to find energy minimizers in BPS sectors which were unpopulated in the canonical theory. These features show that impurities allow for significant flexibility in both the form of energy minimizers and the boundary conditions used to generate them, which may potentially broaden the range of applicability of the theory.
arXiv comment18 pages, 18 figures. Version to appear in Chaos, Solitons and Fractals
References in corpus (49)
- Supersymmetry and Quantum Mechanics
- k-Inflation
- Perturbations in k-inflation
- Dynamics of Skyrmion Crystals in Metallic Thin Films
- Bloch Brane
- Impurity scattering and transport of fractional Quantum Hall edge state
- Solitons in systems of coupled scalar fields
- Global topological k-defects
- Holography, Entanglement Entropy, and Conformal Field Theories with Boundaries or Defects
- BPS-Saturated Walls in Supersymmetric Theories
- Degenerate Domain Wall Solutions in Supersymmetric Theories
- Bags, junctions, and networks of BPS and non-BPS defects
- Kink-antikink interactions in the double sine-Gordon equation and the problem of resonance frequencies
- Extended Cuscuton: Formulation
- Soliton Stability in Systems of Two Real Scalar Fields
- Holographic Lattices, Dimers, and Glasses
- Vortices and Impurities
- Collective coordinate model of kink-antikink collisions in theory
- First Order Vortex Dynamics
- Degenerate and critical Bloch branes
- Defect Structures in Lorentz and CPT Violating Scenarios
- Doppelganger defects
- Quantum impurity in an antiferromagnet: non-linear sigma model theory
- The model with the BPS preserving defect
- Information-Entropic for Travelling Solitons in Lorentz and CPT Breaking Systems
- Emergence of non-abelian magnetic monopoles in a quantum impurity problem
- Geometrically Constrained Kinklike Configurations
- Superconductors with Magnetic Impurities: Instantons and Sub-gap States
- Stabilization of Embedded Defects by Plasma Effects
- Supersymmetric Defect Models and Mirror Symmetry
- Manipulation of Vortices by Localized Impurities in Bose-Einstein Condensates
- Stability of Kink Defects in a Deformed O(3) Linear Sigma Model
- Vortices and magnetic impurities
- Kinetic theory of dark solitons with tunable friction
- Super Yang-Mills Theory with Impurity Walls and Instanton Moduli Spaces
- Resonant scattering on impurities in the Quantum Hall Effect
- Fermion transfer in the model with a half-BPS preserving impurity
- Vortex scattering by impurities in a Bose-Einstein condensate
- Strong localization in defective carbon nanotubes: a recursive Green's function study
- Quantum Hall Transitions in (TMTSF)PF
- Synthetic superfluid chemistry with vortex-trapped quantum impurities
- Impurity-like solutions in vortex systems coupled to a neutral field
- Impurity-doped stable domain walls in spherically symmetric spacetimes
- Impurity-doped scalar fields in arbitrary dimensions
- Holographic Wilson Lines as Screened Impurities
- Emergence of oscillons in kink-impurity interactions
- Observational Constraints and Preheating in Cuscuton Inflation
- Impurity-Driven Metal-Insulator Transitions in Holography
- A novel two-field pure K-essence for inflation, dark matter, dark energy and black holes