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We study topological excitations in two-component nematic superconductors, with a particular focus on Cu$_x$Bi$_2$Se$_3$ as a candidate material. We find that the lowest-energy topological excitations are coreless vortices: a bound state of…

Superconductivity · Physics 2017-10-24 A. A. Zyuzin , Julien Garaud , Egor Babaev

The structure of centre vortices in SU(3) gauge-field configurations is examined through modern visualization techniques. Centre vortices are identified through gauge transformations maximizing the centre of the gauge group. Focusing on the…

High Energy Physics - Lattice · Physics 2019-03-20 James C. Biddle , Waseem Kamleh , Derek B. Leinweber

An N=1--supersymmetric version of the Cremmer-Scherk-Kalb-Ramond model with non-minimal coupling to matter is built up both in terms of superfields and in a component-field formalism. By adopting a dimensional reduction procedure, the…

High Energy Physics - Theory · Physics 2009-10-31 H. R. Christiansen , M. S. Cunha , J. A. Helayel-Neto , L. R. U. Manssur , A. L. M. A. Nogueira

Vortex solutions in $U(1)\times U(1)$ Chern-Simons theory coupled to a pair of hard-core bosons representing two layers of electrons are analysed. It is shown that there is such a range of parameters $(\alpha\beta<\gamma^{2})$ in which…

Condensed Matter · Physics 2016-08-31 Jacek Dziarmaga

We obtain localized field configurations with finite energy in a ($2+1$)-dimensional model with Maxwell and Chern-Simons gauge terms coupled to a massive complex scalar field. These non-topological solitons are characterized by the $U(1)$…

High Energy Physics - Theory · Physics 2026-02-05 Ivan Ivashkin , Eduard Kim , Emin Nugaev , Yakov Shnir

We study the vortex lattice in a two-dimensional s-wave topological superconductor with Rashba spin-orbit coupling and Zeeman field by solving the Bogoliubov-de Gennes equations self-consistently for the superconducting order parameter. We…

Superconductivity · Physics 2016-08-24 Evan D. B. Smith , K. Tanaka , Yuki Nagai

We investigate the two-loop effective potential for both minimally and non-minimally coupled Maxwell-Chern-Simons theories. The non-minimal gauge interaction represents the magnetic moment interaction between a charged scalar and the…

High Energy Physics - Phenomenology · Physics 2009-11-07 D. S. Irvine , M. E. Carrington , G. Kunstatter , D. Pickering

Existence of solutions to the field equations of the gauged Chern-Simons-O(3)-Sigma model on a compact Riemann surface is proved by a topological method. Existence of a minimal deformation constant $\kappa_{*} > 0$ is proved, such that for…

High Energy Physics - Theory · Physics 2026-02-23 Rene I. Garcia-Lara

Vortices in a narrow superconducting strip with a square array of pinning sites are studied. The interactions of vortices with other vortices and with external sources (applied magnetic field and transport current) are calculated via a…

Superconductivity · Physics 2009-11-07 Clécio C. de Souza Silva , Leonardo R. E. Cabral , J. Albino Aguiar

Topological confinement by center vortices does not immediately explain either a minimum-area law for non-planar Wilson loops or the L\"uscher term. I conjecture that both a minimal-area law and a L\"uscher term arise in a confinement model…

High Energy Physics - Phenomenology · Physics 2011-07-14 John M. Cornwall

We classify vortex-core structures according to the topology of the order parameter space. By developing a method to characterize how the order parameter changes inside the vortex core. We apply this method to the spin-1 Bose-Einstein…

Quantum Gases · Physics 2014-07-25 Shingo Kobayashi , Yuki Kawaguchi , Muneto Nitta , Masahito Ueda

The gauge-invariant Chern-Simons-type Lorentz- and CPT-breaking term is here re-assessed and issues like causality, unitarity, spontaneous gauge-symmetry breaking are investigated. Moreover, we obtain a minimal extension of such a system to…

High Energy Physics - Theory · Physics 2009-11-10 A. P. Baeta Scarpelli , H. Belich , J. L. Boldo , L. P. Colatto , J. A. Helayel-Neto , A. L. M. A. Nogueira

Vortices are considered in relativistic Maxwell-Higgs systems in interaction with a neutral scalar field. The gauge field interacts with the neutral field via the presence of generalized permeability, and the charged and neutral scalar…

High Energy Physics - Theory · Physics 2018-03-26 D. Bazeia , M. A. Marques , R. Menezes

This study aims to exploit the analogy of vortex dynamics in a 2D ideal fluid and 2D non-neutral plasma. Numerical simulations using contour dynamics with adaptive refinement are conducted to study the dynamics of one or more vortices…

Fluid Dynamics · Physics 2025-01-27 Ling Xu

The off-shell vector-tensor multiplet is considered in an arbitrary background of N=2 vector supermultiplets. We establish the existence of two inequivalent versions, characterized by different Chern-Simons couplings. In one version the…

High Energy Physics - Theory · Physics 2009-10-30 P. Claus , B. de Wit , M. Faux , P. Termonia

One discusses the issue of low-energy electron-electron bound states in the Maxwell-Chern-Simons model coupled to QED3 with spontaneous breaking of a local U(1)-symmetry. The scattering potential, in the non-relativistic limit, steaming…

High Energy Physics - Theory · Physics 2011-08-17 H. Belich , O. M. Del Cima , M. M. Ferreira , J. A. Helayel-Neto

We apply different integrability analysis procedures to a reduced (spatially homogeneous) mechanical system derived from an off-shell non-minimally coupled N=2 Maxwell-Chern-Simons-Higgs model that presents BPS topological vortex…

High Energy Physics - Theory · Physics 2008-11-26 L. P. G. de Assis , J. A. Helayel-Neto , F. Haas , A. L. M. A. Nogueira

The single vortex problem in a strongly correlated bosonic system is investigated self-consistently within the mean-field theory of the Bose-Hubbard model. Near the superfluid-Mott transition, the vortex core has a tendency toward the…

Strongly Correlated Electrons · Physics 2007-05-23 Congjun Wu , Han-dong Chen , Jiang-ping Hu , Shou-Cheng Zhang

Self-dual vortex solutions are studied in detail in the generalized abelian Higgs model with independent Chern-Simons interaction. For special choices of couplings, it reduces to a Maxwell-Higgs model with two scalar fields, a…

High Energy Physics - Theory · Physics 2009-10-22 Chanju Kim

We perform a numerical study of the phase diagram of the model proposed in \cite{Shifman:2012vv}, which is a simple model containing non-Abelian vortices. As per the case of Abrikosov vortices, we map out a region of parameter space in…

High Energy Physics - Theory · Physics 2018-04-18 Gianni Tallarita , Adam Peterson