Self-dual Ginzburg-Landau vortices in a disc

We study the properties of the Ginzburg-Landau model in the self-dual point for a two-dimensional finite system. By a numerical calculation we analyse the solutions of the Euler-Lagrange equations for a cylindrically symmetric ansatz. We also study the self-dual equations for this case. We find that...

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Autor principal: Lozano, G.S
Otros Autores: Manías, M.V, Moreno, E.F
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2001
Acceso en línea:Registro en Scopus
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100 1 |a Lozano, G.S. 
245 1 0 |a Self-dual Ginzburg-Landau vortices in a disc 
260 |c 2001 
270 1 0 |m Lozano, G.S.; Departamento de Física, FCEyN, Ciudad Univeristaria, Buenos Aires, Argentina 
506 |2 openaire  |e Política editorial 
504 |a Bogomol'nyi, E.B., (1976) Sov. J. Nucl. Phys., 24, p. 449 
504 |a (1976) Yad. Fiz, 24, p. 861 
504 |a De Vega, H., Schaposnik, F.A., (1976) Phys. Rev. D, 14, p. 1100 
504 |a Harden, J.L., Arp, V., (1963) Cryogenics, 3, p. 105 
504 |a Alvarez Gaumé, L., Zamora, F., Duality in quantum field theory (and string theory) (1997) Trends in Theoretical Physics AIP Conf. Proc., 419. , ed H Falomir et al (New York: American Institute of Physics) 
504 |a Akkermans, E., Mallick, K., (2000) Physica C, 332, p. 250 
504 |a Akkermans, E., Mallick, K., (2000), Preprint cond-mat0001219; Akkermans, E., Mallick, K., (1999) J. Phys. A: Math. Gen., 32, p. 7133 
504 |a Akkermans, E., Mallick, K., Geometrical description of vortices in Ginzburg-Landau billiards (1999) Topological Aspects of Low Dimensional Theories, , ed A Comtet et al (EDP Science) 
504 |a Akkermans, E., Mallick, K., (1999), Preprint cond-mat 9907441; Geim, A.K., (1997) Nature, 390, p. 259 
504 |a Geim, A.K., (1998) Nature, 396, p. 144 
504 |a Peeters, F.M., Schweigert, V.A., Baelus, B.J., Deo, P.S., (2000) Physica C, 332, p. 255. , and references therein 
504 |a Peeters, F.M., Schweigert, V.A., Baelus, B.J., Deo, P.S., (1999), Preprint cond-mat 9910172; Jaffe, A., Taubes, C., (1980) Vortices and Monopoles. Structure of Static Gauge Theories Progress, In Physics, 2. , Boston: Birkhauser 
504 |a Saint-James, D., Thomas, E., Sarma, G., (1969) Type II Superconductivity, , Oxford: Pergamon 
504 |a Press, W.H., Teukolsky, S.A., Vetterling, W.T., (1992) Numerical Recipes: The Art of Scientific Computing, , Cambridge: Cambridge University Press 
504 |a Obhukov, Yu.N., Schunk, F.E., (1997) Phys. Rev. D, 55, p. 2307 
504 |a Akkermans, E., Gangardt, D.M., Mallick, K., (2000) Phys. Rev. B, 62, p. 12427 
504 |a Akkermans, E., Gangardt, D.M., Mallick, K., (2000), Preprint cond-mat/0005542; Baum, P., Phillips, D., Tang, Q., (1998) Arch. Ration Mech., 142, pp. 1-43 
520 3 |a We study the properties of the Ginzburg-Landau model in the self-dual point for a two-dimensional finite system. By a numerical calculation we analyse the solutions of the Euler-Lagrange equations for a cylindrically symmetric ansatz. We also study the self-dual equations for this case. We find that the minimal energy configurations are not given by the Bogomol'nyi equations but by solutions to the Euler-Lagrange ones. With a simple approximation scheme we reproduce the result of the numerical calculation.  |l eng 
593 |a Departamento de Física, FCEyN, Ciudad Univeristaria, Buenos Aires, Argentina 
593 |a Departamento de Física, Univ. Nacional de la Plata, CC 67, 1900 La Plata, Argentina 
700 1 |a Manías, M.V. 
700 1 |a Moreno, E.F. 
773 0 |d 2001  |g v. 34  |h pp. 5721-5730  |k n. 28  |p J. Phys. Math. Gen.  |x 03054470  |w (AR-BaUEN)CENRE-331  |t Journal of Physics A: Mathematical and General 
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856 4 0 |u https://doi.org/10.1088/0305-4470/34/28/308  |y DOI 
856 4 0 |u https://hdl.handle.net/20.500.12110/paper_03054470_v34_n28_p5721_Lozano  |y Handle 
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