The fractional Aharonov-Bohm effect in mesoscopic rings

We study the effects of correlations on a one-dimensional ring threaded by a uniform magnetic flux. In order to describe the interaction between particles, we work in the framework of the U = ∞ Hubbard model and the t-J z and t-J z -J t models. We focus on the dilute limit. Our results suggest the p...

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Autor principal: Ferrari, Valeria Paola
Otros Autores: Chiappe, Guillermo
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 1996
Acceso en línea:Registro en Scopus
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Sumario:We study the effects of correlations on a one-dimensional ring threaded by a uniform magnetic flux. In order to describe the interaction between particles, we work in the framework of the U = ∞ Hubbard model and the t-J z and t-J z -J t models. We focus on the dilute limit. Our results suggest the possibility that the persistent current has an anomalous periodicity φ 0 /p, where p is an integer in the range 2 ≤ p ≤ N e (N e is the number of particles in the ring and φ 0 is the flux quantum). We find that this result depends neither on disorder nor on the detailed form of the interaction, while there is still on-site infinite repulsion.
Bibliografía:Byers, N., Yang, C.N., (1961) Phys. Rev. Lett., 7, p. 46
Bloch, F., (1968) Phys. Rev., 166, p. 415
Schick, M., (1968) Phys. Rev., 166, p. 404
Gunther, L., Imry, Y., (1969) Solid State Commun., 7, p. 1391
Al'tshuler, B.L., Aronov, A.G., Spivak, B.Z., (1981) Pis. Zh. Eksp. Teor. Fiz., 33, p. 101
(1981) JETP Lett., 33, p. 94
Sharvin, D.Yu., Sharvin, Yu.V., (1981) Pis. Zh. Eksp. Tear. Fiz., 34, p. 28
(1981) JETP Lett., 34, p. 272
Büttiker, M., Imry, Y., Landauer, R., (1983) Phys. Lett., 96 A, p. 365
Landauer, R., Büttiker, M., (1985) Phys. Rev. Lett., 54, p. 2049
Gefen, Y., Imry, Y., Azbel, M.Ya., (1984) Phys. Rev. Lett., 52, p. 129
Cheung, H., Gefen, Y., Riedel, E., Shin, W., (1988) Phys. Rev., 37, p. 6050
Bouchiat, H., Montambaux, G., (1989) J. Physique, 50, p. 2695
Cheung, H.F., Riedel, E.K., Gefen, Y., (1989) Phys. Rev. Lett., 62, p. 587
Lévy, L., Dolan, G., Dunsmuir, J., Bouchiat, H., (1990) Phys. Rev. Lett., 64, p. 2074
Ambegaokar, V., Eckern, U., (1990) Phys. Rev. Lett., 65, p. 381
Von Oppen, F., Riedel, E., (1991) Phys. Rev. Lett., 66, p. 84
Altshuler, B.L., Gefen, Y., Imry, Y., (1991) Phys. Rev. Lett., 66, p. 88
Chandrasekhar, V., Webb, R., Brady, M., Ketchen, M., Gallagher, W., Kleinsasser, A., (1991) Phys. Rev. Lett., 67, p. 3578
Mailly, D., Chapeliei, C., Benoit, A., (1993) Phys. Rev. Lett., 70, p. 2020
Reulet, B., Ramin, M., Bouchiat, H., Mailly, D., (1995) Phys. Rev. Lett., 75, p. 124
Abraham, M., Berkovits, R., (1993) Phys Rev. Lett., 70, p. 1509
Fabrizio, M., Gogolin, A., Scheidl, S., (1994) Phys. Rev. Lett., 72, p. 2235
Vignale, G., (1994) Phys. Rev. B, 50, p. 7668
Müller-Gioeling, A., Weidenmüller, H.A., (1994) Phys. Rev. B, 49, p. 4752
Kato, H., Yoshioka, D., (1994) Phys. Rev. B, 50, p. 4943
Hubbard, J., (1963) Proc. R. Soc. A, 276, p. 238
(1964) Proc. R. Soc. A, 277, p. 237
Lieb, E., Mattis, D., (1962) Phys. Rev., 125, p. 164
Fradkin, E., (1991) Field Theories of Condensed Matter Systems (Frontiers in Physics), , Reading, MA: Addison-Wesley
Dagotto, E., (1994) Rev. Mod. Phys., 66, p. 763
Gagliano, E., Dagotto, E., Moreo, A., Alcaraz, F., (1986) Phys. Rev. B, 34, p. 1677
Dagotto, E., Moreo, A., (1985) Phys. Rev. D, 31, p. 865
Kusmartsev, F.V., (1991) J. Phys.: Condens. Matter, 3, p. 3199
Schofield, A., Wheatley, J., Xiang, T., (1991) Phys. Rev. B, 44, p. 8349
Kusmartsev, F.V., (1995) Phys. Rev. B, 52, p. 14445
Kirczenow, G., Sachrajda, A.S., Feng, Y., Taylor, R.P., Henning, L., Wang, J., Zawadski, P., Coleridge, P.T., (1994) Phys. Rev. Lett., 72, p. 2069
Waugh, F.R., Berry, M.J., Mar, D.J., Westervelt, R.M., Campman, K.L., Gossard, A.C., (1995) Phys. Rev. Lett., 75, p. 705
ISSN:09538984
DOI:10.1088/0953-8984/8/44/010