scholarly journals A theory of giant vortices

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Alexander A. Penin ◽  
Quinten Weller
Keyword(s):  
Asymptotic Expansion ◽  
Analytic Form ◽  
Scalar Fields ◽  
Winding Number ◽  
Asymptotic Results ◽  
Convergence Region ◽  
Ginzburg Landau ◽  
Landau Model ◽  
Neutral Scalar ◽  
Vortex Solutions

Abstract We elaborate a theory of giant vortices [1] based on an asymptotic expansion in inverse powers of their winding number n. The theory is applied to the analysis of vortex solutions in the abelian Higgs (Ginzburg-Landau) model. Specific properties of the giant vortices for charged and neutral scalar fields as well as different integrable limits of the scalar self-coupling are discussed. Asymptotic results and the finite-n corrections to the vortex solutions are derived in analytic form and the convergence region of the expansion is determined.

scholarly journals Uniqueness of Symmetric Vortex Solutions in the Ginzburg–Landau Model of Superconductivity

1999 ◽  
Vol 167 (2) ◽  
pp. 399-424 ◽  
Author(s):  
Stan Alama ◽  
Lia Bronsard ◽  
Tiziana Giorgi
Keyword(s):  
Ginzburg Landau ◽  
Landau Model ◽  
Vortex Solutions

Vortex Configurations in Mesoscopic Superconducting Nanowires

2003 ◽  
Vol 17 (10n12) ◽  
pp. 537-547 ◽  
Author(s):  
G. Stenuit ◽  
S. Michotte ◽  
J. Govaerts ◽  
L. Piraux ◽  
D. Bertrand
Keyword(s):  
Magnetic Properties ◽  
Phase Diagrams ◽  
Magnetization Curves ◽  
Winding Number ◽  
Superconducting Nanowires ◽  
Ginzburg Landau ◽  
Landau Model ◽  
Vortex States ◽  
Mesoscopic Superconductors ◽  
Giant Vortex

Beyond the well-known Abrikosov and giant vortex configurations, new solutions to the Ginzburg–Landau model corresponding to vortices of integer and half-integer winding number are described. Phase diagrams (Bext, Energy) and magnetization curves have been determined, aiming towards an understanding of the magnetic properties of lead nanowires and the possible consequences of such solutions with respect to the switching mechanism between vortex states in mesoscopic superconductors.

Bifurcation of vortex and boundary-vortex solutions in a Ginzburg–Landau model

Nonlinearity ◽  
2007 ◽  
Vol 20 (4) ◽  
pp. 943-964
Author(s):  
Chao-Nien Chen ◽  
Yoshihisa Morita
Keyword(s):  
Ginzburg Landau ◽  
Landau Model ◽  
Vortex Solutions

Compatibility between the Ginzburg–Landau model and finite-temperature quantum field theory

2016 ◽  
Vol 31 (40) ◽  
pp. 1650227 ◽  
Author(s):  
T. C. A. Calza ◽  
F. L. Cardoso ◽  
L. G. Cardoso ◽  
C. A. Linhares
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Finite Temperature ◽  
Chemical Potential ◽  
Scalar Fields ◽  
Quantum Field ◽  
Ginzburg Landau ◽  
Landau Model ◽  
Large N ◽  
Range Of Values

The formalism of finite-temperature quantum field theory, as developed by Matsubara, is applied to a Hamiltonian of N scalar fields with a quartic self-interaction at large N. A renormalized expression in the lowest quantum approximation is obtained for the squared mass m2 of the field, as a function of the temperature T, from which we study the process of spontaneous symmetry breaking. We find that in a range of values around the critical temperature Tc, the squared mass can be approximated by a linear relation m2 [Formula: see text] (T − Tc). We thus demonstrate the compatibility of the finite-temperature formalism for scalar fields, in the vicinity of criticality, with respect to the Ginzburg–Landau model. We also discuss the effects caused by the presence of a chemical potential and of an external magnetic field applied to the finite-temperature system, which however do not affect the linearity of the relation between the squared mass and the temperature.

Growth of fluctuations in quenched time-dependent Ginzburg-Landau model systems

1978 ◽  
Vol 17 (1) ◽  
pp. 455-470 ◽  
Author(s):  
Kyozi Kawasaki ◽  
Mehmet C. Yalabik ◽  
J. D. Gunton
Keyword(s):  
Model Systems ◽  
Time Dependent ◽  
Ginzburg Landau ◽  
Landau Model
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