Topological charged BPS vortices in Lorentz-violating Maxwell-Higgs electrodynamics (original) (raw)
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Maxwell–Chern–Simons vortices in a CPT-odd Lorentz-violating Higgs electrodynamics
The European Physical Journal C, 2014
We have studied BPS vortices in a CPT-odd and Lorentz-violating Maxwell-Chern-Simons-Higgs (MCSH) electrodynamics attained from the dimensional reduction of the Carroll-Field-Jackiw-Higgs model. The Lorentz-violating parameter induces a pronounced behavior at origin (for the magnetic/electric fields and energy density) which is absent in the MCSH vortices. For some combination of the Lorentz-violating coefficients there always exist a sufficiently large winding number n0 such that for all |n| ≥ |n0| the magnetic field flips its signal, yielding two well defined regions with opposite magnetic flux. However, the total magnetic flux remains quantized and proportional to the winding number.
Magnetic flux inversion in charged BPS vortices in a Lorentz-violating Maxwell–Higgs framework
Physics Letters B, 2012
We demonstrate for the first the existence of electrically charged BPS vortices in a Maxwell-Higgs model supplemented with a parity-odd Lorentz-violating (LV) structure belonging to the CPT-even gauge sector of the standard model extension and a fourth order potential (in the absence of the Chern-Simons term). The modified first order BPS equations provide charged vortex configurations endowed with some interesting features: localized and controllable spatial thickness, integer flux quantization, electric field inversion and localized magnetic flux reversion. This model could possibly be applied on condensed matter systems which support charged vortices carrying integer quantized magnetic flux, endowed with localized flipping of the magnetic flux.
Uncharged vortex solutions in a CPT-even Lorentz-violating electrodynamics
2011
In this work, we investigate the existence stable uncharged vortex solutions in the framework of the Lorentz-breaking and CPT-even electrodynamics of the Standard Model Extension in the presence of the Higgs sector endowed with a fourth order self-interacting potential. We verify the possibility of attaining uncharged non-BPS and BPS solutions in this LIV environment, whose profiles are obtained numerically. It
Physical Review D, 2012
We have investigated and verified the existence of stable uncharged Bogomol'nyi-Prasad-Sommerfeld (BPS) vortices in the framework of an Abelian Maxwell-Higgs model supplemented with CPT-even and Lorentz-violating (LV) terms belonging to the gauge and Higgs sectors of the standard model extension. The analysis is performed in two situations: first, one by considering the Lorentz violation only in the gauge sector and then in both gauge and Higgs sectors. In the first case, it is observed that the model supports vortices somehow equivalent to the ones appearing in a dielectric medium. The Lorentz violation controls the radial extension (core of the solution) and the magnetic field amplitude of the Abrikosov-Nielsen-Olesen vortices, yielding compactlike defects in an alternative and simpler way than that of k−field models. At the end, we consider the Lorentz-violating terms in the gauge and Higgs sectors. It is shown that the full model also supports compactlike uncharged BPS vortices in a modified vacuum, but this time there are two LV parameters controlling the defect structure. Moreover, an interesting novelty is introduced by the LV-Higgs sector: fractional vortex solutions.
BPS Maxwell-Chern-Simons-Like Vortices in a Lorentz-Violating Framework
CPT and Lorentz Symmetry, 2014
We have analyzed Maxwell-Chern-Simons-Higgs BPS vortices in a Lorentzviolating CPT-odd context. The Lorentz violation induces profiles with a conical behavior at the origin. For some combination of the coefficients for Lorentz violation there always exists a sufficiently large winding number for which the magnetic field flips its sign.
Comment on vortices in Chern-Simons and Maxwell electrodynamics with Higgs fields
Physics Letters B, 1994
We compare the vortex-like solutions of two different theories in (2 + 1) dimensions. In the first a nonrelativistic field self-interacts through a Chern-Simons gauge connection. It is P and T violating. The second is the standard Maxwell scalar electrodynamics. We show that for specific values of some parameters the same vortex-configurations provide solutions for both theories.
Lorentz-Symmetry Violation and Electrically Charged Vortices in the Planar Regime
International Journal of Modern Physics A, 2006
We start from a Lorentz non-invariant Abelian-Higgs model in 1+3 dimensions, and carry out its dimensional reduction to D = 1 + 2. The planar model resulting thereof is composed by a Maxwell-Chern-Simons-Proca gauge sector, a massive scalar sector, and a mixing term (involving the fixed background, v µ ) that realizes Lorentz violation for the reduced model. Vortex-type solutions of the planar model are investigated, revealing charged vortex configurations that recover the usual Nielsen-Olesen configuration in the asymptotic regime. The Aharonov-Casher Effect in layered superconductors, that shows interference of neutral particles with a magnetic moment moving around a line charge, is also studied. Our charged vortex solutions exhibit a screened electric field that induces the same phase shift as the one caused by the charged wire.
Electric-dual BPS Vortices in The Generalized Self-dual Maxwell-Chern-Simons-Higgs Model
arXiv (Cornell University), 2021
In this paper we show how to derive the Bogomolny's equations of the generalized self-dual Maxwell-Chern-Simons-Higgs model presented in [1] by using the BPS Lagrangian method with a particular choice of the BPS Lagrangian density. We also show that the identification, potential terms, and Gauss's law constraint can be derived rigorously under the BPS Lagrangian method. In this method, we find that the potential terms are the most general form that could have the BPS vortex solutions. The Gauss's law constraint turns out to be the Euler-Lagrange equations of the BPS Lagrangian density. We also find another BPS vortex solutions by taking other identification between the neutral scalar field and the electric scalar potential field, N = ±A 0 , which is different by a relative sign to the identification in [1], N = ∓A 0. Under this identification, N = ±A 0 , we obtain a slightly different potential terms and Bogomolny's equations compared to the ones in [1]. Furthermore we compute the solutions numerically, with the same configurations as in [1], and find that only the resulting electric field plots differ by sign relative to the results in [1]. Therefore we conclude that these BPS vortices are electric-dual BPS vortices of the ones computed in [1].
We have studied the existence of topological self-dual configurations in a nonminimal CPT-odd and Lorentz-violating (LV) Maxwell–Higgs model, where the LV interaction is introduced by modifying the minimal covariant derivative. The Bogomol’nyi–Prasad–Sommerfield formalism has been implemented, revealing that the scalar self-interaction implying self-dual equations contains a derivative coupling. The CPT-odd self-dual equations describe electrically neutral configurations with finite total energy proportional to the total magnetic flux, which differ from the charged solutions of other CPT-odd and LV models previously studied. In particular, we have investigated the axially symmetrical self-dual vortex solutions altered by the LV parameter. For large distances, the profiles possess general behavior similar to the vortices of Abrikosov–Nielsen–Olesen. However, within the vortex core, the profiles of the magnetic field and energy can differ substantially from ones of the Maxwell–Higgs model depending if the LV parameter is negative or positive.
BPS Vortices with Negative Electric Charge in The Generalized Maxwell-Chern-Simons-Higgs Model
2021
In this paper we show how rederive the Bogomolny’s equations of generalized Maxwell-ChernSimons-Higgs model presented in Ref. [1] by using BPS Lagrangian method. We also show that the other results (identification, potential terms, Gauss’s law constraint) in there can be obtained rigorously with a particular form of the BPS Lagrangian density. In this method, we find that the potential terms are the most general form that could have the BPS vortex solutions. The Gauss’s law constraint turns out to be the Euler-Lagrange equations of the BPS Lagrangian density. We also find another BPS vortex solutions by taking other identification between the neutral scalar field and the electric scalar potential field, N = ±A0, which is different by a relative sign to the identification in Ref. [1], N = ∓A0,. We find the BPS vortex solutions have negative electric charge which are related to the corresponding BPS vortes solutions in Ref. [1] by tranforming the neutral scalar field N → −N . Other po...