Phase transitions and relaxation characteristics of quantum magnets and quantum glasses

Phase Transitions

Volumn 77, Issue 5-7, 2004, Pages 525-561

  Banerjee, Varsha ^a   Dattagupta, Sushanta ^b,c  

^a INDIAN INSTITUTE OF TECHNOLOGY DELHI   (India)

^b S N BOSE NATIONAL CENTRE FOR BASIC SCIENCES   (India)

^c JAWAHARLAL NEHRU CENTRE FOR ADVANCED SCIENTIFIC RESEARCH   (India)

Author keywords

Quantum glass; Quantum magnet; Quantum phase transition; Transverse Ising model

Indexed keywords

CHARACTERIZATION; ELECTRON TUNNELING; FERROMAGNETIC MATERIALS; LITHIUM; MAGNETS; ORDER DISORDER TRANSITIONS; PHASE TRANSITIONS;

QUANTUM GLASS; QUANTUM MAGNETS; QUANTUM PHASE TRANSITION; TRANSVERSE ISING MODELS;

SPIN GLASS;

EID: 11144349059     PISSN: 01411594     EISSN: None     Source Type: Journal    
DOI: 10.1080/01411590410001672594     Document Type: Review

References (60)

1. Abragam, A. (1961). The Theory of Nuclear Magnetism. Oxford University Press, London.
2. Akhiezer, I.A. and Spol'nik, A.I. (1983). Spontaneous polarization of a new type: ferroelectric glass. Sov. Phys.-Solid State, 25, 81.
3. Banerjee, V. and Dattagupta, S. (1997). Dielectric relaxation in a proton glass. Phase Transitions, 62, 233.
4. Banerjee, V. and Dattagupta, S. (1998). Dynamic susceptibility of a model quantum glass. J. Phys.: Condens. Matter, 10, 8351.
5. Banerjee, V. and Dattagupta, S. (2001). Model quantum magnet: the effect of hyperfine interactions on the phase diagram and dynamic susceptibility. Phys. Rev. B, 64, 24427.
6. Banerjee, V. and Dattagupta, S. (2002). Model quantum magnet II: calculation of NMR lineshapes. Phys. Rev. B, 66, 64418.
7. Banerjee, V. and Dattagupta, S. (2003). Dielectric relaxation in a deuteron glass. Phys. Rev. B, 68 4202.
8. Bhatt, R.N. (1997). Quantum spin glasses. In: Young, A.P. (Ed.), Spin Glasses and Random Fields. World Scientific, Singapore.
9. 0.5 is it a dipole glass? Phys. Rev. Lett., 48, 1267.
10. Bitko, D., Rosenbaum, T.F. and Aeppli, G. (1996). Critical behavior of a model magnet. Phys. Rev. Lett., 77, 940.
11. 4 at microwave frequencies. Z. Phys. B: Condensed Matter, 73, 337.
12. Bray, A.J. and Moore, M.A. (1980). Replica theory of the quantum spin glass. J. Phys. A, 13. L665.
13. Chakrabarti, B.K., Dutta, A. and Sen, P. (1996). Quantum Ising Phases and Transitions in Transverse Ising Models, LNP monograph 41. Springer-Verlag, Heidelberg
14. Clauser, M.J. and Blume, M. (1971). Stochastic theory of line shape: off diagonal effects in fine and hyperfine structure. Phys. Rev. B, 3, 583.
15. 4 structural glasses and their deuterated samples. Helvetica Physica Acta, 56, 705.
16. Courtens, E. (1984). Vogel-Fulcher scaling of the susceptibility in a mixed crystal proton glass. Phys. Rev. Lett., 52, 69.
17. 4 structural glasses and their deuterated samples. Phys. Rev. B, 33, 2975.
18. Dattagupta, S. (1987). Relaxation Phenomena in Condensed Matter Physics. Academic, Orlando.
19. Dattagupta, S., Tadic, B., Pirc, R. and Blinc, R. (1991). Tunneling in proton glass: Stochastic theory of NMR line shape. Phys. Rev. B, 44, 4387.
20. Dattagupta, S., Tadic, B., Pirc, R. and Blinc, R. (1993). Relaxation dynamics of quantum spin glasses: role of heat-bath coupling. Phys. Rev. B, 47, 8801.
21. Dobrosavljevic, V. and Stratt, R.M. (1987). Mean field theory of the proton glass. Phys. Rev. B, 36, 8484.
22. Dobrosavljevic, V. and Thirumalai, D. (1990). 1/p expansion for a p-spin interaction spin glass in a transverse field. J. Phys. A, 23, L767.
23. Fischer, K.H. and Hertz, J.A. (1991). Spin Glasses. Cambridge University Press, Cambridge
24. Ghosh, S.S. and Dasgupta, C. (1996). Domain wall scaling study of structural glass transitions. Phys. Rev. Lett., 77, 1310.
25. Giamarchi, T. and Le Doussal, P. (1996). Variational theory of elastic manifolds with correlated disorder and localization of interacting quantum particles. Phys. Rev. B, 53, 15206.
26. Goldschmidt, Y.Y. and Lai, P.Y. (1990). Ising spin glass in a transverse field: replica symmetry-breaking solution. Phys. Rev. Lett., 64, 2467.
27. Grempel, D.R. and Rozenberg, M.J. (1998). Fluctuations in the quantum random Heisenberg paramagnet. Phys. Rev. Lett., 80, 389.
28. Guo, M. and Bhatt, R. (1994). Quantum critical behavior of a three-dimensional Ising spin glass in a transverse field. Phys. Rev. Lett., 72, 4137; (1996). Quantum Griffiths singularities in the transverse Ising spin glass. Phys. Rev. B, 54, 3336.
29. Guo, M. and Bhatt, R. (1994). Quantum critical behavior of a three-dimensional Ising spin glass in a transverse field. Phys. Rev. Lett., 72, 4137; (1996). Quantum Griffiths singularities in the transverse Ising spin glass. Phys. Rev. B, 54, 3336.
30. Ḧochli, U.T. (1982). Dynamics of freezing electric dipoles. Phys. Rev. Lett., 48, 1494.
31. Kawasaki, K. (1972). In: Domb, C. and Green, M.S. (Eds.), Phase Transitions and Critical Phenomena, Vol. 2. London, Academic.
32. Kim. Bog-Gi and Kim, Jong-Jean (1997). Relaxation time distribution function of deuterated dipole glass in the low frequency region. Phys. Rev. B, 55, 5558.
33. Kim, Do-Hyun and Kim, Jong-Jean (2002). Infinite range Ising spin glass with a transverse field under the static approximation. Phys. Rev. B, 66, 054432.
34. Kirkpatrick, S. and Sherrington, D. (1978). Infinite ranged models of spin glasses. Phys. Rev. B, 17, 4384.
35. Kopec, T.K. (1988). Transverse freezing in the quantum spin glass: a thermofield dynamics approach. J. Phys. C, 21, 297.
36. Kopec, T.K. (1996). Quantum orientational glasses: large-M limit approach. Phys. Rev. B, 54, 3367.
37. Kopec, T.K. (1997). Nonlinear response in quantum spin glasses. Phys. Rev. Lett., 79, 4266.
38. Kopec, T.K., Tadic, B., Pirc, R. and Blinc, R. (1990). Random fields and quantum effects in proton glasses. Z. Phys. B, 78, 493.
39. Kutnjak, Z., Pirc, R., Levstik, A., Levstik, I., Filipič, C., Blinc, R. and Kind, R. (1994). Observation of the freezing line in a deuteron glass. Phys. Rev. B, 50, 12421.
40. Leggett, A.J., Chakravarty, S., Fisher, M.P.A., Dorsey, A.T., Garg, A. and Zwerger, W. (1987). Dynamics of dissipative two state systems. Rev. Mod. Phys., 59, 1.
41. x. Phys. Rev. Lett., 48, 1263.
42. Luttinger, J.M. and Tisza, L. (1946). Theory of dipole interaction in crystals. Phys. Rev., 70, 954.
43. Miller, J. and Huse, D.A. (1993). Zero-temperature critical behavior of the infinite range quantum Ising spin glass. Phys. Rev. Lett., 70, 3147.
44. Narayanmurthy, V. and Pohl, R.O. (1970). Tunneling states and defects in solids. Rev. Mod. Phys., 42, 201.
45. Pirc, R., Tadic, B. and Blinc, R. (1988). Isotope effect and pressure dependence of the freezing temperature in proton glasses. Phys. Rev. B, 37, 679.
46. Pirc, R., Tadic, B. and Blinc, R. (1991). Probability distribution of local polarization in quantum glasses. Phys. Rev. B, 37, 679.
47. Qureshi, T. and Dattagupta, S. (1990). Relaxation behavior of a biased two level system in metals in the weak damping limit. Pramana, 35, 579.
48. Reich, D.H., Ellamn, B., Yang, J., Rosenbaum, T.F., Aeppli, G. and Belanger, D.P. (1990). Dipolar magnets and glasses: neutron scattering, dynamic and calorimetric studies of randomly distributed Ising spins. Phys. Rev. B, 42, 4631.
49. Rieger, H. and Young, A.P. (1994). Zero-temperature quantum phase transition of a two-dimensional Ising spin glass. Phys. Rev. Lett., 72, 414.
50. Rieger, H. and Young, A.P. (1996). Griffiths singularities in the disordered phase of a quantum Ising spin glass. Phys. Rev. B, 54, 3328.
51. Rieger, H. and Young, A.P. (1996). Quantum Spin Glasses. Lecture notes in Physics, cond-mat/9607005. Springer-Verlag.
52. Sachdev, S. (1999). Quantum Phase Transitions. Cambridge University Press, New York.
53. Slichter, C.P. (1963). Principles of Magnetic Resonance. Harper and Row, New York.
54. Sondhi, S.L., Girvin, S.M., Carini, J.P. and Sahar, D. Continuous Phase Transitions, Rev. Mod. Phys., 69, 315.
55. Thill, M.J. and Huse, DA. (1995). Equilibrium behavior of a quantum Ising spin glass. Physica A, 214, 321.
56. Usadel, K.D. (1986). Sol. St. Commun., 58, 629.
57. Wu, W., Ellman, B., Rosenbaum, T.F., Aeppli, G. and Reich, D.H. (1991). From classical to quantum glass. Phys. Rev. Lett., 67, 2076.
58. Wu, W., Bitko, D., Rosenbaum, T.F. and Aeppli, G. (1993). Quenching of the nonlinear susceptibility at a T = 0 spin glass transition, ibid, 71, 1919.
59. Yamamoto, T. and Ishii, H. (1987). A perturbation expansion for the SK. model with a transverse field. J. Phys. C, 20, 6053.
60. Ye, J., Sachdev S. and Read, N. (1993). Solvable spin glass of quantum rotors. Phys. Rev. Lett., 70, 4011.