First order vortex dynamics - INSPIRE

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First order vortex dynamics

N.S. Manton
(
- Cambridge U.
)

Jan, 1997

22 pages

Published in:

Annals Phys. 256 (1997) 114-131

e-Print:

hep-th/9701027 [hep-th]

DOI:

10.1006/aphy.1997.5672

Report number:

DAMTP-96-111

View in:

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Abstract:

A non-dissipative model for vortex motion in thin superconductors is considered. The Lagrangian is a Galilean invariant version of the Ginzburg--Landau model for time-dependent fields, with kinetic terms linear in the first time derivatives of the fields. It is shown how, for certain values of the coupling constants, the field dynamics can be reduced to first order differential equations for the vortex positions. Two vortices circle around one another at constant speed and separation in this model.

Note:

22pages, no figures, tex file Report-no: DAMTP 96-111

gauge field theory: U(1)
Higgs model
dimension: 3
Landau-Ginzburg model
model: superconductivity
Chern-Simons term
field equations: vortex

References(21)

Figures(0)

- Appl.Phys.Lett. 69 1324

On the Magnetic properties of superconductors of the second group

A.A. Abrikosov
(
- Moscow, Inst. Phys. Problems
)

- Sov.Phys.JETP 5 (1957) 1174-1182,
- Zh.Eksp.Teor.Fiz. 32 (1957) 1442-1452

Interaction Energy of Superconducting Vortices

Laurence Jacobs
(
- Brookhaven
)
,
Claudio Rebbi
(
- Brookhaven
)

- Phys.Rev.B 19 (1979) 4486-4494,
- Reprinted in *Rebbi, C. (ed.), Soliani, G. (ed.): Solitons and Particles*, 395-403
•
DOI:
- 10.1103/PhysRevB.19.4486

Vortex Line Models for Dual Strings

Holger Bech Nielsen
(
- Bohr Inst.
)
,
P. Olesen
(
- Bohr Inst.
)

- Nucl.Phys.B 61 (1973) 45-61,
•
DOI:
- 10.1016/0550-3213(73)90350-7

- Sov.Phys.JETP 27 328

- SIAM Rev. 34 529

- Appl.Math.Lett. 9 27

- Phil.Mag. 14 667

Effective Lagrangians for BCS superconductors at T=0

Ian J.R. Aitchison
(
- CERN and
- Washington U., Seattle
)
,
Ping Ao
(
- Washington U., Seattle
)
,
David J. Thouless
(
- Washington U., Seattle
)
,
X.-M. Zhu
(
- Washington U., Seattle
)

- Phys.Rev.B 51 (1995) 6531-6535
•
e-Print:
- cond-mat/9411047
•
DOI:
- 10.1103/PhysRevB.51.6531

- Int.J.Mod.Phys.B 9 1359

Vortex scattering

T.M. Samols
(
- Cambridge U.
)

- Commun.Math.Phys. 145 (1992) 149-180
•
DOI:
- 10.1007/BF02099284

A Remark on the Scattering of BPS Monopoles

N.S. Manton
(
- Santa Barbara, KITP
)

- Phys.Lett.B 110 (1982) 54-56
•
DOI:
- 10.1016/0370-2693(82)90950-9

Vortex scattering at near critical coupling

P.A. Shah
(
- Cambridge U.
)

- Nucl.Phys.B 429 (1994) 259-276
•
e-Print:
- hep-th/9402075
•
DOI:
- 10.1016/0550-3213(94)00250-9

Classical and quantal nonrelativistic Chern-Simons theory

R. Jackiw
(
- Columbia U.
)
,
So-Young Pi
(
- Rockefeller U.
)

- Phys.Rev.D 42 (1990) 3500,
- Phys.Rev.D 48 (1993) 3929 (erratum)
•
DOI:
- 10.1103/PhysRevD.42.3500

Nonrelativistic Chern-Simons theory for the repulsive Bose gas

Igor V. Barashenkov
(
- Cape Town U.
)
,
Alexander O. Harin
(
- Natal U.
)

- Phys.Rev.Lett. 72 (1994) 1575-1579
•
e-Print:
- hep-th/9403056
•
DOI:
- 10.1103/PhysRevLett.72.1575

Vortex motion and the Hall effect in type II superconductors: A Time dependent Ginzburg-Landau theory approach

Alan T. Dorsey
(
- Virginia U.
)

- Phys.Rev.B 46 (1992) 8376-8392
•
e-Print:
- cond-mat/9207018
•
DOI:
- 10.1103/PhysRevB.46.8376

Galilean electromagnetism

- Nuovo Cim.B 14 (1973) 2, 217-234
•
DOI:
- 10.1007/BF02895715

Stability of Classical Solutions

E.B. Bogomolny
(
- Landau Inst.
)

- Sov.J.Nucl.Phys. 24 (1976) 449,
- Yad.Fiz. 24 (1976) 861-870

Arbitrary N: Vortex Solutions to the First Order Landau-Ginzburg Equations

Clifford Henry Taubes
(
- Harvard U.
)

- Commun.Math.Phys. 72 (1980) 277-292
•
DOI:
- 10.1007/BF01197552

Magnus force and Chern-Simons vortices

Q. Liu
(
- MIT, LNS
)
,
Ady Stern
(
- Harvard U.
)

- Phys.Rev.D 52 (1995) 1300-1301
•
DOI:
- 10.1103/PhysRevD.52.1300

- Phys.Rev.B 53 8231