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We study the Ginzburg-Landau model with a nonlocal quartic term as a simple phenomenological model for superconductors in the presence of coupling between the vortex lattice and the underlying crystal lattice. In mean-field theory, our…

Superconductivity · Physics 2009-10-28 Joonhyun Yeo , M. A. Moore

The inhomogeneous abelian Higgs model with a magnetic impurity in the BPS limit is studied for both relativistic and nonrelativistic regimes. Though the symmetry of spatial translation is broken by inhomogeneity, extension to an…

High Energy Physics - Theory · Physics 2025-02-04 Yoonbai Kim , SeungJun Jeon , O-Kab Kwon , Hanwool Song , Chanju Kim

We construct an extension of the Abelian Higgs model, which consists of a complex scalar field by including an additional real, electromagnetically neutral scalar field. We couple this real scalar field to the complex scalar field via a…

High Energy Physics - Theory · Physics 2017-03-17 Prabal Adhikari , Jaehong Choi

The repulsive interaction between two atoms at short distances is studied in order to explore the range of validity of standard first-principles simulation techniques and improve the available short-range potentials for the description of…

Materials Science · Physics 2007-05-23 J. M. Pruneda , E. Artacho

The linear term proportional to $|N-Z|$ in the nuclear symmetry energy (Wigner energy)is obtained in a model that uses isovector pairing on single particle levels from a deformed potential combined with a $\vec T^2$ interaction. The pairing…

Nuclear Theory · Physics 2013-08-09 I. Bentley , S. Frauendorf

We investigate the ground and low excited states of a rotating, weakly interacting Bose-Einstein condensed gas in a harmonic trap for a given angular momentum. Analytical results in various limits, as well as numerical results are…

Condensed Matter · Physics 2009-10-31 G. M. Kavoulakis , B. Mottelson , C. J. Pethick

We provide a rigorous derivation of the Boltzmann equation as the mesoscopic limit of systems of hard spheres, or Newtonian particles interacting via a short-range potential, as the number of particles $N$ goes to infinity and the…

Analysis of PDEs · Mathematics 2015-03-20 Isabelle Gallagher , Laure Saint-Raymond , Benjamin Texier

Cold gas experiments can be tuned to achieve strongly-interacting regimes such as that of low-density neutron matter found in neutron-stars' crusts. We report $T$=0 diffusion Monte Carlo results (i) for the ground state of both spin-1/2…

Nuclear Theory · Physics 2019-07-31 Lucas Madeira , Stefano Gandolfi , Kevin E. Schmidt , Vanderlei S. Bagnato

The Landau-Ginzburg-Wilson hamiltonian is studied for different values of the parameter $\lambda$ which multiplies the quartic term (it turns out that this is equivalent to consider different values of the coherence length $\xi$ in units of…

Superconductivity · Physics 2009-10-31 G. Alvarez , H. Fort

We consider the following coupled Ginzburg-Landau system in ${\mathbb R}^3$ \begin{align*} \begin{cases} -\epsilon^2 \Delta w^+ +\Big[A_+\big(|w^+|^2-{t^+}^2\big)+B\big(|w^-|^2-{t^-}^2\big)\Big]w^+=0, \\[3mm] -\epsilon^2 \Delta w^-…

Analysis of PDEs · Mathematics 2022-07-26 Lipeng Duan , Qi Gao , Jun Yang

Vortices in the SU(2)--Higgs model: The presence of a fundamental Higgs in the SU(N)-Higgs model yields color screening at some finite distance. Whereas the transition to the Higgs "phase" is accompanied by a suppression of projected center…

High Energy Physics - Lattice · Physics 2008-11-26 Roman Bertle , Manfried Faber , Albert Hirtl

A two-component Fermi gas with attractive s-wave interactions forms a superfluid at low temperatures. When this gas is confined in a rotating trap, fermions can unpair at the edges of the gas and vortices can arise beyond certain critical…

Quantum Gases · Physics 2011-08-11 Harmen J. Warringa , Armen Sedrakian

The dynamics of the non-Abelian vortex-string, which describes its low energy oscillations into the target $D=3+1$ spacetime as well as its orientations in the internal space, is derived by the approach of nonlinear realization. The…

High Energy Physics - Theory · Physics 2012-07-17 Lu-Xin Liu , Muneto Nitta

The manifestly gauge-invariant and non-perturbatively complete lattice formulation of the weak interactions and the Brout-Englert-Higgs effect is connected to the usual perturbative description in phenomenology via the…

High Energy Physics - Lattice · Physics 2026-03-16 Sofie Martins , Patrick Jenny , Axel Maas , Georg Wieland

We study global features of proton-neutron (p-n) interactions and symmetry energy over a wide range of nuclei, using a schematic model interaction with four forces proposed recently. Calculations are performed by the BCS approximation in…

Nuclear Theory · Physics 2016-09-08 K. Kaneko , M. Hasegawa

We present a study of the variation of total energies and excitationenergies along a range-separated adiabatic connection. This connectionlinks the non-interacting Kohn-Sham electronic system to the physicalinteracting system by…

Chemical Physics · Physics 2014-12-15 Elisa Rebolini , Julien Toulouse , Andrew M. Teale , Trygve Helgaker , Andreas Savin

The elementary quadratic plus inverse sextic interaction containing a strongly singular repulsive core in the origin is made regular by a complex shift of coordinate $x = s-{\rm i}\varepsilon$. The shift $\varepsilon>0$ is fixed while the…

Quantum Physics · Physics 2014-07-17 Miloslav Znojil

We provide a formalism to calculate the cubic interaction vertices of the stable string bit model, in which string bits have $s$ spin degrees of freedom but no space to move. With the vertices, we obtain a formula for one-loop self-energy,…

High Energy Physics - Theory · Physics 2018-05-15 Gaoli Chen

As a model which displays a picture of the symmetry energy as an energy of rotation in isospace of a Cooper pair condensate, a Hamiltonian with a pairing force and an interaction of isospins is analyzed in the Hartree-Bogolyubov (HB) plus…

Nuclear Theory · Physics 2009-10-29 K. Neergård

The claimed finding of a light Higgs boson makes the minimal Standard Model unitary. Yet we recall that the general low-energy dynamics for the minimal electroweak symmetry breaking sector with three Goldstone bosons and one light scalar is…

High Energy Physics - Phenomenology · Physics 2014-01-21 Rafael L. Delgado , Antonio Dobado , Felipe J. Llanes-Estrada