Phase diagram of the p-spin-interacting spin glass with ferromagnetic bias and a transverse field in the infinite-p limit

Journal of the Physical Society of Japan

Volumn 76, Issue 5, 2007, Pages

  Obuchi, Tomoyuki ^a   Nishimori, Hidetoshi ^a   Sherrington, David ^b  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

^b UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

P spin interaction; Phase diagram; Quantum effects; Random energy model; Spin glass

Indexed keywords

EID: 34547404824     PISSN: 00319015     EISSN: 13474073     Source Type: Journal    
DOI: 10.1143/JPSJ.76.054002     Document Type: Article

References (19)

1. H. Nishimori: Statistical Physics of Spin Glasses and Information Processing: An Introduction (Oxford University Press, Oxford, 2001).
2. M. Mézard, G. Parisi, and M. A. Virasoro: Spin Glass Theory and Beyond (World Scientific, Singapore, 1987).
3. A. J. Bray and M. A. Moore: J. Phys. C 13 (1980) L655.
4. H. Ishii and T. Yamamoto: J. Phys. C 18 (1985) 6225.
5. D. Thirumalai, Q. Li, and T. R. Kirkpatrick: J. Phys. A 22 (1989) 3339.
6. G. Büttner and K. D. Usadel: Phys. Rev. B 41 (1990) 428.
7. Y. Y. Goldschmidt: Phys. Rev. B 41 (1990) 4858.
8. M. Suzuki: Prog. Theor. Phys. 56 (1976) 1454.
9. D. Sherrington and S. Kirkpatrick: Phys. Rev. Lett. 35 (1975) 1792.
10. B. Derrida: Phys. Rev. B 24 (1981) 2613.
11. V. Dobrosavljevic and D. Thirumalai: J. Phys. A 23 (1990) L767.
12. D. J. Gross and M. Mézard: Nucl. Phys. B 240 (1984) 431.
13. N. Sourlas: Nature 339 (1989) 693.
14. H. Nishimori and Y. Nonomura: J. Phys. Soc. Jpn. 65 (1996) 3780.
15. L. De Cesare, K. Lukierska-Walasek, I. Rabuffo, and K. Walasek: J. Phys. A 29 (1996) 1605.
16. E. Gardner: Nucl. Phys. B 257 (1985) 747.
17. P. Gillin, H. Nishimori, and D. Sherrington: J. Phys. A 34 (2001) 2949.
18. D. B. Saakyan: Teor. Math. Fiz. 94 (1993) 173.
19. J. Inoue: in Quantum Annealing and Related optimization Methods, ed. A. Das and B. K. Chakrabarti (Springer, Berlin, Heidelberg, 2005) Lecture Notes in Physics, Vol. 679, p. 259.