Sum rule for thermal conductivity and dynamical thermal transport coefficients in condensed matter

Physical Review B - Condensed Matter and Materials Physics

Volumn 73, Issue 8, 2006, Pages

  Shastry, B Sriram ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33644546049     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.73.085117     Document Type: Article

References (58)

1. G. S. Nolas, D. T. Morelli, and T. M. Tritt, Annu. Rev. Mater. Sci. ARMSCX 0084-6600 10.1146/annurev.matsci.29.1.89 29, 89 (1999);
2. N. R. Dilley, E. D. Bauer, M. B. Maple, S. Dordeire, D. N. Baoov, F. Freilert, T. W. Darling, A. Migliori, B. C. Chakounaeos, and B. C. Sales, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.4608 61, 4608 (2000);
3. B. C. Sales, D. Mandrus, and R. K. Williams, Science SCIEAS 0036-8075 10.1126/science.274.5291.1325 272, 1325 (1996).
4. C. A. Kennedy and M. A. White, Solid State Commun. SSCOA4 0038-1098 134, 271 (2005);
5. D. Cao, F. Bridges, G. R. Kowach, and A. P. Ramirez, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.215902 89, 215902 (2002);
6. J. N. Hancock, C. Turpen, Z. Schlesinger, G. R. Kowach, and A. P. Ramirez, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.225501 93, 225501 (2004).
7. S. G. Volz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87. 074301 87, 074301 (2001). I thank A. Shakouri and Y. Ezzahri for bringing this paper to my attention.
8. B. S. Shastry, B. I. Shraiman, and R. R. P. Singh, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.2004 70, 2004 (1993);
9. P. N. Mahesh and B. S. Shastry, Physica B PHYBE3 0921-4526 223&224, 501 (1996); see also Ref..
10. E. Lange, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.55.3907 55, 3907 (1997).
11. R. Bari, D. Adler, and R. V. Lang, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.2.2898 2, 2898 (1970);
12. E. Sadakata and E. Hanamura, J. Phys. Soc. Jpn. JUPSAU 0031-9015 34, 882 (1973);
13. P. F. Maldague, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.16.2437 16, 2437 (1977).
14. R. W. Hill, C. Proust, L. Taillefer, P. Fournier, and R. L. Greene, Nature (London) NATUAS 0028-0836 10.1038/414711a 414, 711 (2001);
15. A. Houghton, S. Lee, and J. B. Marston, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.220503 65, 220503 (R) (2002).
16. J. M. Luttinger, Phys. Rev. PRVAAH 0096-8250 10.1103/PhysRev.135.A1505 135, A1505 (1964);
17. J. M. Luttinger, Phys. Rev. PRVAAH 0096-8250 10.1103/PhysRev.136.A1481 136, A1481 (1964).
18. L. P. Kadanoff and P. C. Martin, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.124.670 124, 670 (1961);
19. L. P. Kadanoff and P. C. Martin, Ann. Phys. ANPYA2 0003-3804 24, 419 (1963).
20. R. Kubo, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.12.570 12, 570 (1957).
21. A. L. Fetter and J. D. Walecka, Theory of Many Particle Systems (Dover, New York, 2003).
22. X. Zotos, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.067202 92, 067202 (2004), see Eq. (6).
23. T. Giamarchi and B. S. Shastry, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.51.10915 51, 10915 (1995).
24. T. Giamarchi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.44.2905 44, 2905 (1991);
25. X. Zotos, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.1764 82, 1764 (1999)
26. X. Zotos, F. Naef, and P. Prelovsek, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.55.11029 55, 11029 (1997).
27. S. Mukerjee, V. Oganesyan, and D. Huse, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.035113, 73, 035113 (2006).
28. A. Klümper and K. Sakai, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/35/9/307 35, 2173 (2002);
29. J. V. Alvarez and C. Gros, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.156603 89, 156603 (2002);
30. F. Heidrich-Meisner, A. Honecker, D. C. Cabra, and W. Brenig, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.140406 66, 140406 (R) (2002);
31. E. Orignac, R. Chitra, and R. Citro, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.134426 67, 134426 (2003);
32. E. Shimshoni, N. Andrei, and A. Rosch, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.104401 68, 104401 (2003).
33. G. D. Mahan, Many Particle Systems (Plenum, New York, 1990).
34. P. Martin, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.161.143 161, 143 (1967).
35. B. S. Shastry and B. Sutherland, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.65.243 65, 243 (1990).
36. J. R. Schrieffer, Theory of Superconductivity (Addison Wesley, New York, 1964).
37. R. A. Ferrell and R. E. Glover, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.109.1398 109, 1398 (1958);
38. M. Tinkham and R. A. Ferrell, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.2.331 2, 331 (1959).
39. D. J. Scalapino, S. R. White, and S. Zhang, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.47.7995 47, 7995 (1993).
40. C. Herring, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.11.2056 11, 2056 (1975), and references therein.
41. A. Dhar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.5882 86, 5882 (2001);
42. A. Lippi and R. Livi, chao-dyn/9910034 (unpublished);
43. T. Prosen and M. Robnick, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/25/12/009 25, 3449 (1992).
44. O. Narayan and S. Ramaswamy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.200601 89, 200601 (2002).
45. P. Grassberger and L. Yang, cond-mat/0204247 (unpublished).
46. R. J. Hardy, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.132.168 132, 168 (1963).
47. R. E. Peierls, Ann. Phys. ANPYA2 0003-3804 3, 1055 (1929).
48. N. Ashcroft and N. D. Mermin, Solid State Physics (Harcourt Brace Jovanovich College Publishers, Fort Worth, 1976).
49. J. M. Ziman, Principles of the Theory of Solids (Cambridge University Press, Cambridge, England, 1969).
50. The Hubbard operators are defined in J. Hubbard, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 276, 238 (1963);
51. J. Hubbard, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 277, 237 (1964);
52. J. Hubbard, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 281, 401 (1964);
53. J. Hubbard, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 285, 542 (1964).
54. I. Terasaki, Y. Sasago, and K. Uchinokura, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.56.R12685 56, R12685 (1997).
55. Y. Wang, N. S. Rogado, R. J. Cava, and N. P. Ong, Nature NATUAS 0028-0836 10.1038/nature01639 423, 425 (2003).
56. B. Kumar and B. S. Shastry, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.104508 68, 104508 (2003).
57. R. R. Heikes, Thermoelectricity (Wiley-Interscience, New York, 1961).
58. P. Chaikin and G. Beni, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.13.647 13, 647 (1976).