Abstract
Kopnin spectral flow force acting on quantized vortices in superfluid and superconductors is discussed. Kopnin force represents the first realization of the chiral anomaly in condensed matter.
Similar content being viewed by others
References
N. B. Kopnin and V. E. Kravtsov, JETP Lett. 23, 578 (1976).
N. B. Kopnin, Theory of Nonequilibrium Superconductivity (Oxford Univ. Press, Oxford, 2001).
N. B. Kopnin, Rep. Prog. Phys. 65, 1633 (2002).
S. V. Iordanskii, Ann. Phys. 29, 335 (1964).
S. V. Iordanskii, Sov. Phys. JETP 49, 160 (1966).
N. B. Kopnin, Phys. Rev. B 47, 14354 (1993).
T. D. C. Bevan, A. J. Manninen, J. B. Cook, J. R. Hook, H. E. Hall, T. Vachaspati, and G. E. Volovik, Nature 386, 689 (1997).
M. Stone, Phys. Rev. B 61, 11780 (2000).
S. Adler, Phys. Rev. 177, 2426 (1969); J. S. Bell and R. Jackiw, Nuovo Cim. A 60, 47 (1969).
A. P. Finne, T. Araki, R. Blaauwgeers, V. B. Eltsov, N. B. Kopnin, M. Krusius, L. Skrbek, M. Tsubota, and G. E. Volovik, Nature 424, 1022 (2003).
N. B. Kopnin, Phys. Rev. Lett. 92, 135301 (2004).
P. B. Jones, Mon. Not. R. Astron. Soc. 397, 1027 (2009).
M. G. Alford and A. Sedrakian, J. Phys. G: Nucl. Part. Phys. 37, 075202 (2010).
T. Skyrme, Nucl. Phys. 31, 556 (1962).
N. D. Mermin and T.-L. Ho, Phys. Rev. Lett. 36, 594 (1976).
G. E. Volovik and N. B. Kopnin, JETP Lett. 25, 22 (1977).
H. K. Seppälä M. M. Salomaa, J. T. Simola, and G. E. Volovik, Phys. Rev. Lett. 52, 1802 (1984).
S. Mühlbauer, Science 323, 915 (2009).
V. B. Eltsov, R. Blaauwgeers, N. B. Kopnin, M. Krusius, J. J. Ruohio, R. Schanen, and E. V. Thuneberg, Phys. Rev. Lett. 88, 065301 (2002).
N. B. Kopnin and M. M. Salomaa, Phys. Rev. B 44, 9667 (1991).
N. Read and D. Green, Phys. Rev. B 61, 10267 (2000).
T. T. Heikkilä, N. B. Kopnin, and G. E. Volovik, JETP Lett. 94, 233 (2011).
N. B. Kopnin, M. Ijäs, A. Harju, and T. T. Heikkilä, Phys. Rev. B 87, 140503(R) (2013).
N. B. Kopnin and T. T. Heikkilä, arXiv:1210.7075.
G. E. Volovik, The Universe in a Helium Droplet (Clarendon Press, Oxford, 2003).
M. M. Salomaa and G. E. Volovik, Rev. Mod. Phys. 59, 533 (1987).
G. Basar, D. E. Kharzeev, and I. Zahed, Phys. Rev. Lett. 111, 161601 (2013).
G. Basar, D. E. Kharzeev, and Ho-Ung Yee, arXiv:1305.6338.
D. Th. Son and N. Yamamoto, Phys. Rev. Lett. 109, 181602 (2012).
D. Th. Son and N. Yamamoto, Phys. Rev. D 87, 085016 (2013).
V. Aji, Phys. Rev. B 85, 241101(R) (2012).
Author information
Authors and Affiliations
Corresponding author
Additional information
In Memory of N.B. Kopnin
The article is published in the original.
Rights and permissions
About this article
Cite this article
Volovik, G.E. Kopnin force and chiral anomaly. Jetp Lett. 98, 753–757 (2014). https://doi.org/10.1134/S002136401324020X
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S002136401324020X