Long range vortex configurations in generalized models with the Maxwell or Chern-Simons dynamics

Abstract

In this work we deal with vortices in Maxwell-Higgs or Chern-Simons-Higgs models that engender long range tails. We find first order differential equations that support minimum energy solutions which solve the equations of motion. In the Maxwell scenario, we work with generalised magnetic permeabilities that lead to vortices described by solutions, magnetic field and energy density with power-law tails that extend farther than the standard exponential ones. We also find a manner to obtain a Chern-Simons model with the same scalar and magnetic field profiles of the Maxwell case. By doing so, we also find vortices with the aforementioned long range feature, which is also present in the electric field in the Chern-Simons model. The present results may motivate investigations on nonrelativistic models, in particular in the case involving Rydberg atoms, which are known to present long range interactions and relatively long lifetimes.

9 pages, 9 figures. To appear in PRD

References in corpus (29)

• Quantum information with Rydberg atoms
• Many-Body Physics with Individually-Controlled Rydberg Atoms
• Coherent optical detection of highly excited Rydberg states using electromagnetically induced transparency
• Observation of mesoscopic crystalline structures in a two-dimensional Rydberg gas
• Cold hybrid ion-atom systems
• Kink-kink and kink-antikink interactions with long-range tails
• Ultracold Rydberg Molecules
• Long-range interactions of kinks
• Gauge k-vortices
• Forces between Kinks and Antikinks with Long-range Tails
• Compactlike kinks and vortices in generalized models
• Generalized self-dual Chern-Simons vortices
• Compact gauge K vortices
• Highly interactive kink solutions
• Family of Potentials with Power-Law Kink Tails
• A Method for BPS Equations of Vortices
• Electrically Charged Vortex Solution in Born-Infeld Theory
• Bogomol'nyi Equations of Maxwell-Chern-Simons vortices from a generalized Abelian Higgs Model
• Perfectly invisible $\mathcal{P}\mathcal{T}$-symmetric zero-gap systems, conformal field theoretical kinks, and exotic nonlinear supersymmetry
• First Order Formalism for Generalized Vortices
• A Detailed Study of Bogomol'nyi Equations in Two-Dimensional Generalized Maxwell-Higgs Model Using \textit{On-Shell} Method
• Topological vortices in generalized Born-Infeld-Higgs electrodynamics
• Compact Vortices
• Twinlike Models for Kinks, Vortices and Monopoles
• Analytic vortex solutions in generalized models of the Maxwell-Higgs type
• Compact Chern-Simons vortices
• Self-dual configurations in Abelian Higgs models with $k$-generalized gauge field dynamics
• Analytical BPS Maxwell-Higgs vortices
• SEMILOCAL NONTOPOLOGICAL SOLITONS IN A CHERN-SIMONS THEORY.

Cited by in corpus (6)

• Vortex solutions in nonpolynomial scalar QED
• Electrically charged localized structures
• Topological structures in a non-canonical perturbative dynamics of a cuscuton-like model
• Highly-enhanced propagation of long-range kinks in heterogeneous media
• Abelian Chern-Simons vortices in the presence of magnetic impurities
• Vortices in a parity-invariant Maxwell-Chern-Simons model