Supercurrent states in one-dimensional finite-size rings

Physical Review B - Condensed Matter and Materials Physics

Volumn 53, Issue 19, 1996, Pages 13091-13105

  Kashurnikov, Vladimir A ^a   Podlivaev, Alexei I ^a   Prokof’ev, Nikolai V ^b   Svistunov, Boris V ^b  

^a NATIONAL RESEARCH NUCLEAR UNIVERSITY MEPHI   (Russian Federation)

^b KURCHATOV INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0345747588     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.53.13091     Document Type: Article

References (37)

1. B.V. Svistunov, J. Moscow Phys. Soc. 2, 283 (1992).
2. F.D.M. Haldane, Phys. Rev. Lett. 47, 1840 (1981).
3. V.N. Popov, Functional Integrals in Quantum Field Theory and Statistical Physics (Reidel, Dordrecht, 1983).
4. S. Coleman, Phys. Rev. D 11, 2088 (1975).
5. S.T. Chui and P.A. Lee, Phys. Rev. Lett. 35, 315 (1975).
6. T. Giamarchi and H.J. Schulz, Phys. Rev. B 37, 325 (1988).
7. J.M. Kosterlitz and D.J. Thouless, J. Phys. C 6, 1181 (1973).
8. J.M. Kosterlitz, J. Phys. C 7, 1046 (1974).
9. C.L. Kane and M.P.A. Fisher, Phys. Rev. Lett. 68, 1220 (1992);K.A. Matveev, D. Yue, and L.I. Glazman (unpublished).
10. F.D.M. Haldane, J. Phys. C 14, 2585 (1981).
11. A. Luther and I. Peschel, Phys. Rev. B 9, 2911 (1974).
12. D.C. Mattis, J. Math. Phys. 15, 609 (1974).
13. A.O. Caldeira and A.J. Leggett, Ann. Phys. 149, 374 (1983).
14. A.O. Gogolin and N.V. Prokof'ev, Phys. Rev. B 50, 4921 (1994).
15. A.J. Leggett, S. Chakravarty, A.T. Dorsey, M.P.A. Fisher, A. Garg and W. Zwerger, Rev. Mod. Phys. 59, 1 (1987), and references therein.
16. A. Schmid, Phys. Rev. Lett. 51, 1506 (1983).
17. Yu. Kagan and L.A. Maksimov, Zh. Eksp. Teor. Fiz. 79, 1363 (1980) [Sov. Phys. JETP 52, 688 (1980)].
18. L.I. Glazman, I.M. Ruzin and B.I. Shklovskii, Phys. Rev. B 45, 8454 (1992).
19. N.V. Prokof'ev, Int. J. Mod. Phys. B 7, 3327 (1993).
20. E. Dagotto, Rev. Mod. Phys. 66, 763 (1994).
21. S. Pissanetzky, Sparse Matrix Technology (Academic, Orlando, FL, 1984), Chap. 6.
22. B. Sutherland, Phys. Rev. Lett. 74, 816 (1995).
23. V.A. Kashurnikov, A.I. Podlivaev and B.V. Svistunov, Pis'ma Zh. Eksp. Teor. Fiz. 61, 375 (1995) [JETP Lett. 61, 381 (1995)].
24. I. Affleck, D. Gepner, H.J. Schulz and T. Ziman, J. Phys. A 22, 511 (1989), and references therein.
25. V.A. Kashurnikov and B.V. Svistunov (unpublished).
26. U. Meirav, M.A. Kastner, M. Heiblum and S.J. Wind, Phys. Rev. B 40, 5871 (1989).
27. V. Chandrasekhar, R.A. Webb, M.J. Brady, M.B. Ketchen, W.J. Galager and A. Kleinsasser, Phys. Rev. Lett. 67, 3578 (1991).
28. D. Maily, C. Chapolier and A. Benoit, Phys. Rev. Lett. 70, 2020 (1993).
29. R. Fazio, F.W.J. Hekking and A.A. Odintsov, Phys. Rev. Lett. 74, 1843 (1995).
30. X.G. Wen, Phys. Rev. B 43, 11t025 (1990).
31. X.G. Wen, Phys. Rev. Lett. 64, 2206 (1990)
32. X.G. Wen, Phys. Rev. B 44, 5708 (1991).
33. C.W.J. Beenakker, Phys. Rev. Lett. 64, 216 (1990).
34. A.H. MacDonald, Phys. Rev. Lett. 64, 220 (1990).
35. M. Stone, Phys. Rev. B 42, 8399 (1990).
36. P.W. Anderson, Phys. Rev. 110, 827 (1958).
37. P.W. Anderson, Phys. Rev. 112, 1900 (1958).