Out-of-Equilibrium Dissipative ac—Susceptibility in Quantum Ising Spin Glass


The imaginary part of the non-equilibrium magnetic susceptibility of Ising spin glass in a transverse field under time-dependent longitudinal external magnetic field has been calculated at very low temperature on the basis of quantum droplet model and quantum linear response theory. Quantum and aging effects on the low temperature dynamics of the model are discussed. A comparison with recent theoretical and experimental data in spin glass is made.

Share and Cite:

G. Busiello, "Out-of-Equilibrium Dissipative ac—Susceptibility in Quantum Ising Spin Glass," Journal of Modern Physics, Vol. 4 No. 6, 2013, pp. 784-790. doi: 10.4236/jmp.2013.46108.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] A. J. Bray and M. A. Moore, “Heidelberg Colloquium on Glassy Dynamics,” J. L. van Hemmen and I. Morgenstern, Eds., Springer, Berlin, 1986.
[2] K. H. Fisher and J. A. Hertz, “Spin Glass,” Cambridge University Press, England, 1991. doi:10.1017/CBO9780511628771
[3] H. Rieger, Annual Reviews of Computational Physics, Vol. 2, 1995, p. 295.
[4] A. P. Young, “Spin Glass and Random Field,” World Scientific, Singapore, 1988.
[5] J.-L. Barrat, M. Feidelman, J. Kurchan and J. Dalibard. “Slow Relaxations and Nonequilibrium Dynamics in Condensed Matter,” Springer, Berlin, 2003.
[6] L. Berthier and J.-P. Bouchaud, Physical Review B, Vol. B66, 2002, Article ID: 054404. doi:10.1103/PhysRevB.66.054404
[7] D. Herrison and M. Ocio, The European Physical Journal B, Vol. 40, 2004, pp. 283-294. doi:10.1140/epjb/e2004-00278-6
[8] M. Suzuki and I. S. Suzuki, The European Physical Journal B, Vol. 41, 2004, pp. 457-470. doi:10.1140/epjb/e2004-00339-x
[9] L. C. E. Struik, “Physical Aging in Amorphous Polimers and Other Materials,” Elsevier, Houston, 1978.
[10] L. Bellon, S. Ciliberto and C. Laroche, Europhysics Letters, Vol. 51, 2000, p. 551. doi:10.1209/epl/i2000-00368-1
[11] V. Norman, S. Muller, J.-C. Ravey and A. Parker, Macromolecules, Vol. 33, 2000, pp. 1063-1071. doi:10.1021/ma9909455
[12] H. Nishimori, “Statistical Physics of Spin Glasses and Information Processing,” Oxford University Press, 2001. doi:10.1093/acprof:oso/9780198509417.001.0001
[13] J. A. Mydosh, “Spin Glasses: An Experimental Introduction,” Taylor & Francis, London, 1993.
[14] D. A. Huse, Physical Review, Vol. B43, 1991, pp. 8673-8675. doi:10.1103/PhysRevB.43.8673
[15] T. Komori, H. Yoshino and H. Takayama, Journal of the Physical Society of Japan, Vol. 68, 1999, p. 3387.
[16] V. S. Zotev, G. G. Kenning and R. Orbach, Physical Review B, Vol. 66, 2002, Article ID: 014412. doi:10.1103/PhysRevB.66.014412
[17] L. F. Cugliandolo and G. Lozano, Physical Review B, Vol. 59, 1999, pp. 915-942. doi:10.1103/PhysRevB.59.915
[18] F. Krzakala and O. C. Martin, Physical Review Letters, Vol. 85, 2000, pp. 3013-3016. doi:10.1103/PhysRevLett.85.3013
[19] M. P. Kennett, C. Chamon and J. Ye, Physical Review B, Vol. 64, 2001, Article ID: 224408. doi:10.1103/PhysRevB.64.224408
[20] H. Yoshino, K. Hukushima and H. Takayama, Physical Review B, Vol. 66, 2002, Article ID: 064431. doi:10.1103/PhysRevB.66.064431
[21] H. E. Castillo, C. Chamon, L. F. Cugliandolo and M. P. Kennett, Physical Review Letters, Vol. 88, 2002, Article ID: 237201. doi:10.1103/PhysRevLett.88.237201
[22] G. Busiello, R. V. Saburova and V. G. Sushkova, The European Physical Journal B, Vol. 39, 2004, pp. 69-76. doi:10.1140/epjb/e2004-00172-3
[23] A. G. Shins, A. F. Arts and H. W. de Wijn, Physical Review Letters, Vol. 70, 1993, p. 2340.
[24] V. Dupuis, V. Vincent, J.-Ph. Bouchaud, J. Hammann, A. Ito and H. A. Katori, Physical Review B, Vol. 64, 2001, Article ID: 174204. doi:10.1103/PhysRevB.64.174204
[25] P. E. Jonsson, H. Yoshima, P. Nordblad, A. H. Katori and A. Ito, Physical Review Letters, Vol. 88, 2002, Article ID: 257204. doi:10.1103/PhysRevLett.88.257204
[26] D. S. Fisher and D. A. Huse, Physical Review Letters, Vol. 56, 1986, pp. 1601-1604. doi:10.1103/PhysRevLett.56.1601
[27] M. J. Thill and D. A. Huse, Physica A: Statistical Mechanics and Its Applications, Vol. 241, 1995, pp. 321-365. doi:10.1016/0378-4371(94)00247-Q
[28] G. Busiello and R. V. Saburova, International Journal of Modern Physics B, Vol. 14, 2000, p. 1843. doi:10.1142/S0217979200002168
[29] G. Busiello, R. V. Saburova and V. G. Sushkova, Solid State Communications, Vol. 119, 2001, pp. 545-548. doi:10.1016/S0038-1098(01)00267-8
[30] M. J. P. Gingras and P. Henelius, Proceedings of International Conference on Frustration in Condensed Matter (ICFCM), Sendai, 11-14 January 2011.
[31] Z. Kutnjak, R. Pirc, A. Levstik, C. Filipic, R. Blinc and R. Kind, Physical Review B, Vol. 50, 1984, pp. 12421-12428. doi:10.1103/PhysRevB.50.12421
[32] S. L. Hutton, I. Fehst, R. Bohmer, M. Braune, B. Mertz, P. Lunkenheimer and A. Loidl, Physical Review Letters, Vol. 66, 1991, pp. 1990-1993. doi:10.1103/PhysRevLett.66.1990
[33] W. Wu, D. Bitko, T. F. Rosenbaum and G. Aeppli, Physical Review Letters, Vol. 71, 1993, pp. 1919-1922. doi:10.1103/PhysRevLett.71.1919
[34] W. T. Grandy, “Foundation of Statistical Mechanics,” D. Reidel Publishing Company, Dordrecht, 1988. doi:10.1007/978-94-009-2881-7
[35] P. Svedlindh, K. Gunnarsson and J.-O. Andersson, Physical Review B, Vol. 46, 1992, pp. 13867-13873. doi:10.1103/PhysRevB.46.13867
[36] G. Biroli and O. Parcollet, Physical Review B, Vol. 65, 2002, Article ID: 094414. doi:10.1103/PhysRevB.65.094414

Copyright © 2023 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.