Dissipative effects on quantum glassy systems
We discuss the behavior of a quantum glassy system coupled to a bath of quantum oscillators. We show that the system localizes in the absence of interactions when coupled to a sub-Ohmic bath. When interactions are switched on localization disappears and the system undergoes a phase transition toward...
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| Otros Autores: | , , , |
| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
2002
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
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| Sumario: | We discuss the behavior of a quantum glassy system coupled to a bath of quantum oscillators. We show that the system localizes in the absence of interactions when coupled to a sub-Ohmic bath. When interactions are switched on localization disappears and the system undergoes a phase transition towards a glassy phase. We show that the position of the critical line separating the disordered and ordered phases strongly depends on the coupling to the bath. For a given type of bath, the ordered glassy phase is favored by a stronger coupling. Ohmic, sub-Ohmic, and super-Ohmic baths lead to different transition lines. We draw our conclusions from analysis of the partition function using the replicated imaginary-time formalism and from the study of the real-time dynamics of the coupled system using the Schwinger-Keldysh closed time-path formalism. |
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| Bibliografía: | Leggett, A.J., (1987) Rev. Mod. Phys., 59, p. 1 (1995) Rev. Mod. Phys., 67, p. 725 Weiss, U., (1993) Series Modern Condensed Matter Physics, 2. , World Scientific, Singapore Caldeira, A.O., Leggett, A.J., (1981) Phys. Rev. Lett., 46, p. 211 (1983) Ann. Phys. (N.Y.), 149, p. 374 Bray, A.J., Moore, M.A., (1982) Phys. Rev. Lett., 49, p. 1545 Chakravarty, S., (1982) Phys. Rev. Lett., 49, p. 681 Chakravarty, S., Leggett, A.J., (1984) Phys. Rev. Lett., 52, p. 5 Feynman, R.P., Vernon F.L., Jr., (1963) Ann. Phys. (N.Y.), 24, p. 118 Prokof'ev, N.V., Stamp, P.C.E., (1998) Phys. Rev. Lett., 80, p. 5794 Withof, D., Fradkin, E., (1990) Phys. Rev. Lett., 64, p. 1835 Si, Q., Smith, J.L., Ingersent, K., (1999) Int. J. Mod. Phys. B, 13, p. 2331 Ingersent, K., Si, Q., cond-mat/0109417 (unpublished); and cond-mat/9810226 (unpublished); Sengupta, A., (2000) Phys. Rev. B, 61, p. 4041 Chakravarty, S., Rudnick, J., (1995) Phys. Rev. Lett., 75, p. 501 Anderson, P.W., Yuval, G., (1969) Phys. Rev. Lett., 32, p. 89 (1971) J. Phys. C, 4, p. 607 Anderson, P.W., Yuval, G., Hammann, D.R., (1970) Phys. Rev. B, 1, p. 4464 Costi, T.A., Kieffer, C., (1996) Phys. Rev. Lett., 76, p. 1683 Costi, T.A., (1998) Phys. Rev. Lett., 80, p. 1038 Guinea, F., Hakim, V., Muramatsu, A., (1985) Phys. Rev. B, 32, p. 4410 Grabert, H., Schramm, P., Ingold, G.-L., (1988) Phys. Rep., 168, p. 115 Caldeira, A., Legget, A., (1985) Phys. Rev. A, 31, p. 1059 Golding, B., Zimmerman, N.M., Coppersmith, S.N., (1992) Phys. Rev. Lett., 68, p. 998 Wu, W., Ellmann, B., Rosenbaum, T.F., Aeppli, G., Reich, D.H., (1991) Phys. Rev. Lett., 67, p. 2076 Wu, W., Bitko, D., Rosenbaum, T.F., Aeppli, G., (1993) Phys. Rev. Lett., 71, p. 1919 Brooke, J., Bitko, D., Rosenbaum, T.F., Aeppli, G., (1999) Science, 284, p. 779 Vollmer, R., Pietrus, T., Löhneysen, H.V., Chau, R., Maple, M.B., (2000) Phys. Rev. B, 61, p. 1218 Tabata, Y., Grempel, D.R., Ocio, M., Taniguchi, T., Miyako, Y., (2001) Phys. Rev. Lett., 86, p. 524 Si, Q., Lleweilun Smith, J., (1996) Phys. Rev. Lett., 16, p. 3391 Goldschmidt, Y., (1990) Phys. Rev. B, 41, p. 4858 Dobrosavljevic, V., Thirumalai, D., (1990) J. Phys. A, 22, p. L767 De Cesare, L., Lubierska-Walasek, K., Rabuffo, I., Walasek, K., (1996) J. Phys. A, 29, p. 1605 Kopeć, T., (1995) Phys. Rev. B, 52, p. 9590 Nieuwenhuizen, T.M., Ritort, F., (1998) Physica A, 250, p. 89 Cugliandolo, L.F., Lozano, G., (1998) Phys. Rev. Lett., 80, p. 4979 (1999) Phys. Rev. B, 59, p. 915 Cugliandolo, L.F., Grempel, D.R., Da Silva Santos, C.A., (2000) Phys. Rev. Lett., 85, p. 2589 Cugliandolo, L.F., Grempel, D.R., Da Silva Santos, C.A., (2001) Phys. Rev. B, 64, p. 014403 Biroli, G., Cugliandolo, L.F., (2001) Phys. Rev. B, 64, p. 014206 Crisanti, A., Sommers, H.-J., (1992) Z. Phys. B: Condens. Matter, 87, p. 341 Bouchaud, J.-P., Cugliandolo, L.F., Kurchan, J., Mézard, M., (1998) Sping-Glasses and Random Fields, , edited by A. P. Young (World Scientific, Singapore) Biroli, G., Parcollet, O., (2002) Phys. Rev. B, 65, p. 094414 Kennett, M., Chamon, C., (2001) Phys. Rev. Lett., 86, p. 1622 Kennett, M., Chamon, C., Ye, Y., (2001) Phys. Rev. B, 64, p. 224408 Kirkpatrick, T.R., Thirumalai, D., (1987) Phys. Rev. Lett., 58, p. 2091 (1987) Phys. Rev. B, 36, p. 5388 Giamarchi, T., Le Doussal, P., (1996) Phys. Rev. B, 53, p. 15206 Georges, A., Parcollet, O., Sachdev, S., (2000) Phys. Rev. Lett., 85, p. 840 (2001) Phys. Rev. B, 63, p. 134406 Sachdev, S., Read, N., Oppermann, R., (1995) Phys. Rev. B, 52, p. 10286 Sengupta, A.M.A., Georges, A., (1995) Phys. Rev. B, 52, p. 10295 Grempel, D.R., Rozenberg, M.J., (1999) Phys. Rev. B, 60, p. 4702 Ishii, H., Yamamoto, T., (1985) J. Phys. C, 18, p. 6225 Yamamoto, T., Ishii, H., (1987) J. Phys. C, 20, p. 6053 Miller, J., Huse, D.A., (1993) Phys. Rev. Lett., 70, p. 3147 Rozenberg, M., Grempel, D.R., (1998) Phys. Rev. Lett., 81, p. 2550 Shukla, P., Singh, S., (1981) Phys. Lett., 81 A, p. 477 Vojta, T., (1996) Phys. Rev. B, 53, p. 710 Vojta, T., Schreiber, M., (1996) Phys. Rev. B, 53, p. 8211 Sachdev, S., Ye, Y., (1993) Phys. Rev. Lett., 70, p. 3339 Read, N., Sachdev, S., Ye, J., (1995) Phys. Rev. B, 52, p. 384 Cugliandolo, L.F., Kurchan, J., Peliti, L., (1997) Phys. Rev. E, 55, p. 3898 Cugliandolo, L.F., Kurchan, J., (1993) Phys. Rev. Lett., 71, p. 173 Cugliandolo, L.E., Le Doussal, P., (1996) Phys. Rev. E, 53, p. 1525 note; Vojta, T., Epperlein, F., Schreiber, M., (1998) Phys. Status Solidi B, 205, p. 53 Doniach, S., (1977) Physica B, 91, p. 231 Miquel, C., Paz, J.P., Perazzo, R., (1996) Phys. Rev. A, 54, p. 2605 Miquel, C., Paz, J.P., Zurek, W., (1997) Phys. Rev. Lett., 78, p. 3971 Georgeot, B., Shepelyansky, D.L., (2000) Phys. Rev. E, 62, p. 3504 (2000) Phys. Rev. E, 62, p. 6366 |
| ISSN: | 01631829 |
| DOI: | 10.1103/PhysRevB.66.014444 |