Summary
We review the basic ideas and results on the vortex dynamics in clean superfluid Fermi systems. The forces acting on moving vortices are discussed including the problem of the transverse force which was a matter of confusion for quite a time. We formulate the equations of the vortex dynamics which include all the forces and the inertial term associated with excitations bound to the moving vortex.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
L. P. Pitaevskii, Sov. Phys. JETP 13, 451 (1961).
E. P. Gross, II Nouvo Cimento 20, 454 (1961);
E. P. Gross, J. Math. Phys. 4, 195 (1963).
P. C. Hohenberg and B. I. Halperin, Rev. Mod. Phys. 49, 435 (1977).
H. Fukuyama, H. Ebisawa, and T. Tsuzuki, Progr. Theor. Phys. 46, 1028 (1971).
A.T. Dorsey, Phys. Rev. B 46, 8376 (1992).
N. B. Kopnin, B. I. Ivlev, and V. A. Kalatsky, Pis’ma Zh. Eksp. Teor. Fiz. 55, 717 (1992)
N. B. Kopnin, B. I. Ivlev, and V. A. Kalatsky, [JETP Lett. 55, 750 (1992)].
A. Freimuth, Chap. 19 of this book.
E. B. Sonin, Chap. 8 of this book.
A. van Otterlo, M. Feigel’man, V. Geshkenbein, and G. Blatter, Phys. Rev. Lett. 75, 3736 (1995).
N. B. Kopnin, Phys. Rev. B 54, 9475 (1996).
Yu. Matsuda and K. Kumagai, Chap. 17 of this book.
C. Caroli, P. G. de Gennes, and J. Matricon, Phys. Lett. 9, 307 (1964).
F. Gygi and M. Schlüter, Phys. Rev. B 43, 7609 (1991).
M. Stone, Phys. Rev. B 54, 13 222 (1996).
G. Blatter, V. Geshkenbein, and N. B. Kopnin, Phys. Rev. B 59, 14 663 (1999).
In a system with the Galilean invariance such as 3He, quasiparticle relaxation in the vortex core occurs through their interaction with delocalized excitations which themselves relax at the container walls. This introduces two effective relaxation times in the vortex dynamics. Qualitatively, however, the physics is very similar to the picture described here. For more detail, see N. B. Kopnin and A. V. Lopatin, Phys. Rev. B 56, 766 (1997).
N. B. Kopnin and V. E. Kravtsov, Pis’ma Zh. Eksp. Teor. Fiz. 23, 631 (1976)
N. B. Kopnin and V. E. Kravtsov, [JETP Lett. 23, 578 (1976)].
N. B. Kopnin and V.M. Vinokur, Phys. Rev. B 62, 9770 (2000).
A. G. Aronov, Yu. M. Galperin, V. L. Gurevich, and V. I. Kozub, Adv. in Phys. 30, 539 (1981).
N. B. Kopnin and A. V. Lopatin, Phys. Rev. B 51, 15 291 (1995).
E. B. Sonin, Rev. Mod. Phys. 59, 87 (1987).
S. V. Iordanskii, Ann. Phys. 29, 335 (1964).
N. B. Kopnin, G. E. Volovik, and Ü. Parts, Europhys. Lett. 32, 651 (1995).
G. E. Volovik, Pis’ma Zh. Eksp. Teor. Fiz. 43, 428 (1986).
G. E. Volovik, [JETP Lett. 43, 551 (1986)].
M. Stone and F. Gaitan, Ann. Phys. 178, 89 (1987).
J. Bardeen and M. J. Stephen, Phys. Rev. 140 A, 1197 (1965).
S. Kambe, A. D. Huxley, P. Rodiere, and J. Flouquet, Phys. Rev. Lett. 83, 1842 (1999).
E. M. Lifshitz and L. P. Pitaevskii, Zh. Eksp. Teor. Fiz. 33, 535 (1957)
E. M. Lifshitz and L. P. Pitaevskii, [Sov. Phys. JETP 6, 418 (1957)].
E. B. Sonin, Phys. Rev. B 55, 485 (1997).
P. Ao and D. J. Thouless, Phys. Rev. Lett. 70, 2158 (1993);
D. J. Thouless, P. Ao, and Q. Niu, Phys. Rev. Lett. 76, 3758 (1996).
P. Ao and X.-M. Zhu, Physica (Amsterdam) 282C-287C, 367 (1997).
N. B. Kopnin and V. E. Kravtsov, Zh. Eksp.Teor. Fiz. 71, 1644 (1976)
N. B. Kopnin and V. E. Kravtsov, [Sov. Phys. JETP 44, 861 (1976)].
Yu. M. Galperin and E. B. Sonin, Fiz. Tverd. Tela 18, 3034 (1976)
Yu. M. Galperin and E. B. Sonin, [Sov. Phys. Solid State 18, 1768 (1976)].
H. Suhl, Phys. Rev. Lett. 14, 226 (1965).
J.-M. Duan and A. J. Leggett, Phys. Rev. Lett. 68, 1216 (1992).
M. Coffey and Z. Hao, Phys. Rev. B 44, 5230 (1991).
E. B. Sonin, V. B. Geshkenbein, A. van Otterlo, and G. Blatter, Phys. Rev. B 57, 575 (1998).
N. B. Kopnin, Pis’ma Zh. Eksp. Teor. Fiz. 27, 417 (1978)
N. B. Kopnin, [JETP Lett. 27, 390 (1978)].
N. B. Kopnin and M. M. Salomaa, Phys. Rev. B 44, 9667 (1991).
E. Simanek, Journ. Low Temp. Phys. 100, 1 (1995).
G. E. Volovik, Pis’ma Zh. Eksp. Teor. Fiz. 65, 201 (1997)
G. E. Volovik, [JETP Lett. 65, 217 (1997)].
N. B. Kopnin and V. M. Vinokur, Phys. Rev. Lett. 81, 3952 (1998).
N. B. Kopnin, Phys. Rev. 57, 11 775 (1998).
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Kopnin, N.B. (2002). Vortex Dynamics and the Problem of the Transverse Force in Clean Superconductors and Fermi Superfluids. In: Huebener, R.P., Schopohl, N., Volovik, G.E. (eds) Vortices in Unconventional Superconductors and Superfluids. Springer Series in Solid-State Sciences, vol 132. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04665-4_7
Download citation
DOI: https://doi.org/10.1007/978-3-662-04665-4_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07613-8
Online ISBN: 978-3-662-04665-4
eBook Packages: Springer Book Archive