Effective Hamiltonian in the problem of a "central spin" coupled to a spin environment

International Journal of Modern Physics B

Volumn 11, Issue 24, 1997, Pages 2901-2926

  Tupitsyn, I S ^a   Prokokof'ev, N V ^a,b   Stamp, P C E ^b  

^a KURCHATOV INSTITUTE   (Russian Federation)

^b UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001078454     PISSN: 02179792     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217979297001416     Document Type: Article

References (45)

1. P. C. E. Stamp, Nature, 359, 365 (1992); Proc. LT-20 Conf. (August, 1993; Eugene, Oregon), published in Physica B197, 133 (1994); see also UBC Preprint (Sept. 1992), unpublished.
2. P. C. E. Stamp, Nature, 359, 365 (1992); Proc. LT-20 Conf. (August, 1993; Eugene, Oregon), published in Physica B197, 133 (1994); see also UBC Preprint (Sept. 1992), unpublished.
3. P. C. E. Stamp, Nature, 359, 365 (1992); Proc. LT-20 Conf. (August, 1993; Eugene, Oregon), published in Physica B197, 133 (1994); see also UBC Preprint (Sept. 1992), unpublished.
4. N. V. Prokof'ev and P. C. E. Stamp, J. Phys. (Condensed Matter) 5, L663-L670 (1993).
5. N. V. Prokof'ev and P. C. E. Stamp, "Spin Environments and the Suppression of Quantum Coherence", Chapter in Ref. 6, 347-371.
6. J .L. van Hemmen and S. Suto, Europhys. Lett. 1, 481 (1986), Physica B141, 37 (1986); M. Enz and R. Schilling, J. Phys. C19, L711 (1986); and ibid. 1765 (1986). See also J. L. van Hemmen and W. F. Wreszinski, Commum. Math. Phys. 119, 213 (1988); and J. L. van Hemmen and S. Suto, Proc. NATO Conf. in Chichilienne, France, June 1994; to be published as "Theory of Mesoscopic Quantum Tunneling in Magnetism: a WKB Approach", Chapter in Ref. 6.
7. J .L. van Hemmen and S. Suto, Europhys. Lett. 1, 481 (1986), Physica B141, 37 (1986); M. Enz and R. Schilling, J. Phys. C19, L711 (1986); and ibid. 1765 (1986). See also J. L. van Hemmen and W. F. Wreszinski, Commum. Math. Phys. 119, 213 (1988); and J. L. van Hemmen and S. Suto, Proc. NATO Conf. in Chichilienne, France, June 1994; to be published as "Theory of Mesoscopic Quantum Tunneling in Magnetism: a WKB Approach", Chapter in Ref. 6.
8. J .L. van Hemmen and S. Suto, Europhys. Lett. 1, 481 (1986), Physica B141, 37 (1986); M. Enz and R. Schilling, J. Phys. C19, L711 (1986); and ibid. 1765 (1986). See also J. L. van Hemmen and W. F. Wreszinski, Commum. Math. Phys. 119, 213 (1988); and J. L. van Hemmen and S. Suto, Proc. NATO Conf. in Chichilienne, France, June 1994; to be published as "Theory of Mesoscopic Quantum Tunneling in Magnetism: a WKB Approach", Chapter in Ref. 6.
9. J .L. van Hemmen and S. Suto, Europhys. Lett. 1, 481 (1986), Physica B141, 37 (1986); M. Enz and R. Schilling, J. Phys. C19, L711 (1986); and ibid. 1765 (1986). See also J. L. van Hemmen and W. F. Wreszinski, Commum. Math. Phys. 119, 213 (1988); and J. L. van Hemmen and S. Suto, Proc. NATO Conf. in Chichilienne, France, June 1994; to be published as "Theory of Mesoscopic Quantum Tunneling in Magnetism: a WKB Approach", Chapter in Ref. 6.
10. J .L. van Hemmen and S. Suto, Europhys. Lett. 1, 481 (1986), Physica B141, 37 (1986); M. Enz and R. Schilling, J. Phys. C19, L711 (1986); and ibid. 1765 (1986). See also J. L. van Hemmen and W. F. Wreszinski, Commum. Math. Phys. 119, 213 (1988); and J. L. van Hemmen and S. Suto, Proc. NATO Conf. in Chichilienne, France, June 1994; to be published as "Theory of Mesoscopic Quantum Tunneling in Magnetism: a WKB Approach", Chapter in Ref. 6.
11. J .L. van Hemmen and S. Suto, Europhys. Lett. 1, 481 (1986), Physica B141, 37 (1986); M. Enz and R. Schilling, J. Phys. C19, L711 (1986); and ibid. 1765 (1986). See also J. L. van Hemmen and W. F. Wreszinski, Commum. Math. Phys. 119, 213 (1988); and J. L. van Hemmen and S. Suto, Proc. NATO Conf. in Chichilienne, France, June 1994; to be published as "Theory of Mesoscopic Quantum Tunneling in Magnetism: a WKB Approach", Chapter in Ref. 6.
12. J .L. van Hemmen and S. Suto, Europhys. Lett. 1, 481 (1986), Physica B141, 37 (1986); M. Enz and R. Schilling, J. Phys. C19, L711 (1986); and ibid. 1765 (1986). See also J. L. van Hemmen and W. F. Wreszinski, Commum. Math. Phys. 119, 213 (1988); and J. L. van Hemmen and S. Suto, Proc. NATO Conf. in Chichilienne, France, June 1994; to be published as "Theory of Mesoscopic Quantum Tunneling in Magnetism: a WKB Approach", Chapter in Ref. 6.
13. E. M. Chudnovsky and L. Gunther, Phys. Rev. Lett. 60, 661 (1988).
14. "Quantum Tunneling of Magnetisation-QTM'94", Proc NATO workshop, Chichilienne, June 1994, eds. L. Gunther and B. Barbara (Kluwer, 1995), contains a large selection recent reviews of different aspects of the field of Quantum Nanomagnetism.
15. D. D. Awschalom et al., Science 258, 414 (1992), and refs. therein.
16. J. Villain et al., Europhys. Lett. 27, 159 (1994), and refs. therein.
17. S. Sachdev and R. N. Bhatt, Phys. Rev. 34, 4898 (1986); and J. Appl. Phys. 61, 4366 (1987).
18. S. Sachdev and R. N. Bhatt, Phys. Rev. 34, 4898 (1986); and J. Appl. Phys. 61, 4366 (1987).
19. T. Kasuya and A. Yanase, Rev. Mod. Phys. 40, 684 (1968); for recent work, see T. Dietl et al., Phys. Rev. Lett. 74, 474 (1995), and refs. therein.
20. T. Kasuya and A. Yanase, Rev. Mod. Phys. 40, 684 (1968); for recent work, see T. Dietl et al., Phys. Rev. Lett. 74, 474 (1995), and refs. therein.
21. See, e.g. S. Sachdev, Physics World 7, 25 (1994), and refs. therein; C. T. Muruyama, W. G. Clark and J. Sanny, Phys. Rev. B29, 6063 (1984).
22. See, e.g. S. Sachdev, Physics World 7, 25 (1994), and refs. therein; C. T. Muruyama, W. G. Clark and J. Sanny, Phys. Rev. B29, 6063 (1984).
23. M. Gaudin, J. de Physique 37, 1087 (1976); and "La fonction d'onde de Bethe" (Masson, collection de CEA; Paris, 1983).
24. M. Gaudin, J. de Physique 37, 1087 (1976); and "La fonction d'onde de Bethe" (Masson, collection de CEA; Paris, 1983).
25. A. O. Caldeira and A. J. Leggett, Ann. Phys. (N. Y.) 149, 374 (1983); see also A. J. Leggett et al., Rev. Mod. Phys. 59, 1 (1987).
26. A. O. Caldeira and A. J. Leggett, Ann. Phys. (N. Y.) 149, 374 (1983); see also A. J. Leggett et al., Rev. Mod. Phys. 59, 1 (1987).
27. P. C. E. Stamp, Phys. Rev. Lett. 61, 2905 (1988).
28. P. C. E. Stamp, E .M. Chudnovsky and B. Barbara, Int. J. Mod. Phys. B6, 1355 (1992).
29. N. V. Prokof'ev and P. C. E. Stamp, J. Low Temp. Phys. 104, 143 (1996).
30. N. Abarenkova and J.-C. Angles d'Auriac, Phys. Lett. A219, 335 (1996).
31. B. Barbara and E. M. Chudnovsky, Phys. Lett. A145, 205 (1990).
32. I. V. Krive and O. B. Zaslavskii, J. of Phys. (Conensed Matter), 2, 9457 (1990).
33. G. Tatara and H. Fukuyama, Phys. Rev. Lett. 72, 772 (1994), and J. Phys. Soc. Jpn. 63, 2538 (1994).
34. G. Tatara and H. Fukuyama, Phys. Rev. Lett. 72, 772 (1994), and J. Phys. Soc. Jpn. 63, 2538 (1994).
35. A. Garg and G. H. Kim, Phys. Rev. Lett. 63, 2512 (1989).
36. E. M. Chudnovsky, Phys. Rev. Lett. 72, 3433 (1994).
37. P. C. E. Stamp, Phys. Rev. Lett. 66, 2802 (1991).
38. N. V. Prokof'ev and P. C. E. Stamp, Submitted to Nature (1997).
39. C. Callan and S. Coleman, Phys. Rev. D15, 2929 (1977); Phys. Rev. D16, 1762 (1977).
40. C. Callan and S. Coleman, Phys. Rev. D15, 2929 (1977); Phys. Rev. D16, 1762 (1977).
41. A. S. Ioselevich, JETP Lett. 45, 571 (1987).
42. J. von Delft and C. Henley, Phys. Rev. Lett. 69, 3236 (1992); D. Loss, D. P. di Vincenzo and G. Grinstein, Phys. Rev. Lett. 69, 3232 (1992).
43. J. von Delft and C. Henley, Phys. Rev. Lett. 69, 3236 (1992); D. Loss, D. P. di Vincenzo and G. Grinstein, Phys. Rev. Lett. 69, 3232 (1992).
44. F. D. M. Haldane, Phys. Rev. Lett. 50, 1153 (1983).
45. E. N. Bogachek and I. V. Krive, Phys. Rev. B46, 14559 (1992).