Abstract
Superconducting states with different internal topology are discussed for the layered high-T c materials. If the time inversion symmetry is broken, the superconductivity is determined not only by the symmetry of the superconducting state but also by the topology of the ground state. The latter is determined by the integer-valued momentum-space topological invariant N. The current carrying boundary between domains with different N (N 2≠N 1) is considered. The current is produced by fermion zero modes, the number of which per layer is 2(N 2−2N 1).
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References
R. Movshovich, M. A. Hubbard, M. B. Salamon et al., http://xxx.lanl.gov/abs/cond-mat/9709061.
K. Krishana, N. P. Ong, Q. Li et al., Science 277, 83 (1997).
R. B. Laughlin, http://xxx.lanl.gov/abs/cond-mat/9709004.
M. Sigrist, K. Kuboki, P. A. Lee et al., Phys. Rev. B 43, 2835 (1996).
M. E. Zhitomirsky and M. B. Walker, Phys. Rev. Lett. 79, 1734 (1997).
G. E. Volovik and V. M. Yakovenko, J. Phys.: Condens. Matter 1, 5263 (1989).
V. M. Yakovenko, Phys. Rev. Lett. 65, 251 (1990); Fizika (Zagreb) 21, Suppl. 3, 231 (1989); http://xxx.lanl.gov/abs/cond-mat/9703195.
V. M. Yakovenko, Phys. Rev. B 43, 11353 (1991).
G. E. Volovik, JETP Lett. 55, 368 (1992).
G. E. Volovik, Exotic Properties of Superfluid 3He, Singapore: World Scientific, 1992.
J. F. Annett, N. Goldenfeld, and A. J. Leggett, in Physical Properties of High Temperature Superconductors, edited by D. M. Ginsberg, Singapore: World Scientific, 1996, Vol. 5, p. 375.
C. Caroli, P. G. de Gennes, and J. Matricon, Phys. Lett. 9, 307 (1964).
G. E. Volovik, http://xxx.lanl.gov/abs/cond-mat/9709159.
N. B. Kopnin, Physica B 210, 267 (1995).
G. E. Volovik, JETP Lett. 61, 958 (1995).
N. B. Kopnin and G. E. Volovik, Rotating vortex core: An instrument for detecting the core excitations, http://xxx.lanl.gov/abs/cond-mat/9706082, submitted to Phys. Rev. B.
G. E. Volovik, JETP Lett. 57, 244 (1993).
M. Stone and F. Gaitan, Ann. Phys. 178, 89 (1987).
D. B. Kaplan and M. Schmaltz, Phys. Lett. B 368, 44 (1996).
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Pis’ma Zh. Éksp. Teor. Fiz. 66, No. 7, 492–496 (10 October 1997)
Published in English in the original Russian journal. Edited by Steve Torstveit.
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Volovik, G.E. On edge states in superconductors with time inversion symmetry breaking. Jetp Lett. 66, 522–527 (1997). https://doi.org/10.1134/1.567563
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DOI: https://doi.org/10.1134/1.567563