Nonballistic heat conduction in an integrable random-exchange Ising chain studied with quantum master equations

Physical Review B - Condensed Matter and Materials Physics

Volumn 77, Issue 17, 2008, Pages

  Yan, Yonghong ^a   Wu, Chang Qin ^a,b   Casati, Giulio ^a,c,d   Prosen, Tomaž ^e   Li, Baowen ^a,f  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b FUDAN UNIVERSITY   (China)

^c UNIVERSITY OF INSUBRIA   (Italy)

^d INFM   (Italy)

^e UNIVERSITY OF LJUBLJANA   (Slovenia)

^f NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 44349123519     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.77.172411     Document Type: Article

References (34)

1. F. Bonetto, J. L. Lebowitz, and L. Rey-Bellet, in Mathematical Physics 2000, edited by, A. Fokas,,, A. Grigoryan,,, T. Kibble,, and, B. Zegarlinsky, (Imperial College, London, 2000), p. 128.
2. S. Lepri, R. Livi, and A. Politi, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(02)00558-6 377, 1 (2003).
3. Z. Rieder, J. L. Lebowitz, and E. Lieb, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1705319 8, 1073 (1967)
4. U. Zürcher and P. Talkner, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.42.3278 42, 3278 (1990).
5. B. Hu, B. Li, and H. Zhao, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.57.2992 57, 2992 (1998)
6. B. Hu, B. Li, and H. Zhao, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.61.3828 61, 3828 (2000)
7. K. Aoki and D. Kusnezov, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(99)00899-3 265, 250 (2000).
8. X. Zotos, F. Naef, and P. Prelovšek, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.55.11029 55, 11029 (1997).
9. X. Zotos and P. Prelovšek, Interacting Electrons in Low Dimensions, Physics and Chemistry of Materials with Low-Dimensional Structures (Kluwer, Dordrecht, 2003)
10. Strong Interactions in Low Dimensions, edited by, D. Baeriswyl, and, L. Degiorgi, (Kluwer, Dordrecht, 2004).
11. J. Gemmer, R. Steinigeweg, and M. Michel, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.104302 73, 104302 (2006), and references therein.
12. A. V. Sologubenko, E. Felder, K. Giannò, H. R. Ott, A. Vietkine, and A. Revcolevschi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.R6108 62, R6108 (2000)
13. A. V. Sologubenko, K. Giannò, H. R. Ott, A. Vietkine, and A. Revcolevschi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.054412 64, 054412 (2001).
14. K. Saito, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-00241-3 61, 34 (2003).
15. C. Mejía-Monasterio, T. Prosen, and G. Casati, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2005-10267-y 72, 520 (2005).
16. M. Michel, M. Hartmann, J. Gemmer, and G. Mahler, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2003-00228-x 34, 325 (2003).
17. M. Michel, G. Mahler, and J. Gemmer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.180602 95, 180602 (2005).
18. R. Steinigeweg, J. Gemmer, and M. Michel, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2006-10118-5 75, 406 (2006).
19. A. Dhar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.5882 86, 5882 (2001).
20. B. Li, H. Zhao, and B. Hu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.63 86, 63 (2001).
21. C. Gaul and H. Büttner, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.76.011111 76, 011111 (2007).
22. E. Westerberg, A. Furusaki, M. Sigrist, and P. A. Lee, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.4302 75, 4302 (1995).
23. G. Schehr and H. Rieger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.227201 96, 227201 (2006).
24. L. F. Santos, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/37/17/004 37, 4723 (2004).
25. R. Kubo, M. Toda, and N. Hashitsume, Statistical Physics II (Springer-Verlag, New York, 1991).
26. G. Lindblad, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01608499 48, 119 (1976).
27. H. Wichterich, M. J. Henrich, H. P. Breuer, J. Gemmer, and M. Michel, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.76.031115 76, 031115 (2007).
28. M. Hartmann, G. Mahler, and O. Hess, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.080402 93, 080402 (2004)
29. J. Gemmer, M. Michel, and G. Mahler, Quantum Thermodynamics (Springer, New York, 2004), Vol. LNP657.
30. A. V. Savin, G. P. Tsironis, and X. Zotos, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.140402 72, 140402 (R) (2005)
31. A. V. Savin, G. P. Tsironis, and X. Zotos, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.75.214305 75, 214305 (2007).
32. A. Karahalios, A. Metavitsiadis, X. Zotos, A. Gorczyca, and P. Prelovšek, arXiv:0803.1379v1 (unpublished).
33. M. Žnidarič, T. Prosen, and P. Prelovšek, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.77.064426 77, 064426 (2008)
34. V. Oganesyan and D. A. Huse, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.75.155111 75, 155111 (2007).