Single-particle dynamics in the vicinity of the Mott-Hubbard metal-to-insulator transition

Physical Review B - Condensed Matter and Materials Physics

Volumn 77, Issue 7, 2008, Pages

  Karski, Michał ^a   Raas, Carsten ^b   Uhrig, Götz S ^b  

^a INSTITUT FÜR ANGEWANDTE PHYSIK   (Germany)

^b TU DORTMUND UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 40949142223     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.77.075116     Document Type: Article

References (62)

1. W. Metzner and D. Vollhardt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.62.324 62, 324 (1989).
2. E. Müller-Hartmann, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01311397 74, 507 (1989).
3. A. Georges and G. Kotliar, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.45.6479 45, 6479 (1992).
4. M. Jarrell, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69.168 69, 168 (1992).
5. S. R. White, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69. 2863 69, 2863 (1992).
6. S. R. White, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.48.10345 48, 10345 (1993).
7. S. Ramasesha, S. K. Pati, H. R. Krishna-Murthy, Z. Shuai, and J. L. Brédas, Synth. Met. SYMEDZ 0379-6779 10.1016/S0379-6779(97)80136-1 85, 1019 (1997).
8. T. D. Kühner and S. R. White, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.335 60, 335 (1999).
9. C. Raas, G. S. Uhrig, and F. B. Anders, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.041102 69, 041102 (R) (2004).
10. M. Karski, C. Raas, and G. S. Uhrig, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.113110 72, 113110 (2005).
11. J. Kanamori, J. Phys. Chem. Solids JPCSAW 0022-3697 10.1016/0022-3697(59) 90061-7 10, 87 (1959).
12. J. Hubbard, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 10.1098/rspa.1963.0204 276, 238 (1963).
13. M. C. Gutzwiller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 10.159 10, 159 (1963).
14. G. Kotliar, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510050914 11, 27 (1999).
15. M. Karski, Diplomarbeit, Universität zu Köln, 2004;
16. available at http://t1.physik.uni-dortmund.de/uhrig/
17. M. Potthoff, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2003-00352-7 36, 335 (2003).
18. G. S. Uhrig, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77. 3629 77, 3629 (1996).
19. A. Georges, G. Kotliar, W. Krauth, and M. J. Rozenberg, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.68.13 68, 13 (1996).
20. E. N. Economou, Green's Functions in Quantum Physics, Solid State Sciences Vol. 7 (Springer, Berlin, 1979).
21. D. G. Pettifor and D. L. Weaire, The Recursion Method and its Applications, Springer Series in Solid-State Sciences Vol. 58 (D. G. Pettifor and D. L. Weaire, Berlin, 1985).
22. A. C. Hewson, The Kondo Problem to Heavy Fermions (Cambridge University Press, Cambridge, 1993).
23. K. A. Hallberg, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.52.R9827 52, R9827 (1995).
24. C. Raas and G. S. Uhrig, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2005-00194-3 45, 293 (2005).
25. T. Hövelborn, Diplomarbeit, Universität zu Köln/ Universität Bonn, 2000;
26. available at http://t1.physik.uni-dortmund.de/uhrig/
27. C. Raas, Ph.D. thesis, Universität zu Köln, 2005;
28. available at http://www.raas.de/
29. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes (Cambridge University Press, Cambridge, 1992).
30. S. Nishimoto, F. Gebhard, and E. Jeckelmann, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/16/39/038 16, 7063 (2004).
31. S. Nishimoto, F. Gebhard, and E. Jeckelmann, Physica B PHYBE3 0921-4526 378-380, 283 (2006).
32. M. P. Eastwood, F. Gebhard, E. Kalinowski, S. Nishimoto, and R. M. Noack, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2003-00266-4 35, 155 (2003).
33. E. Jeckelmann, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.045114 66, 045114 (2002).
34. The Recursion Method; Application to Many-Body Dynamics, Lecture Notes in Physics Vol. m23, edited by, V. S. Viswanath, and, G. Müller, (Springer, Berlin, 1994).
35. F. Gebhard, E. Jeckelmann, S. Mahlert, S. Nishimoto, and R. M. Noack, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2004-00005-5 36, 491 (2003).
36. D. J. García, K. Hallberg, and M. J. Rozenberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.246403 93, 246403 (2004).
37. S. Nishimoto and E. Jeckelmann, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/16/4/010 16, 613 (2004).
38. N. Blümer and E. Kalinowski, Physica B PHYBE3 0921-4526 10.1016/j.physb.2005.01.179 359, 648 (2005).
39. N. Blümer and E. Kalinowski, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.195102 71, 195102 (2005).
40. M. J. Rozenberg, G. Kotliar, and X. Y. Zhang, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.49.10181 49, 10181 (1994).
41. D. E. Logan, M. P. Eastwood, and M. A. Tusch, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/9/20/019 9, 4211 (1997).
42. J. Hubbard, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 10.1098/rspa.1964.0190 281, 401 (1964).
43. R. Bulla (private communication).
44. A. Georges and G. Kotliar, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.45.6479 45, 6479 (1992b).
45. M. J. Rozenberg, X. Y. Zhang, and G. Kotliar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69.1236 69, 1236 (1992).
46. A. Georges and W. Krauth, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.48.7167 48, 7167 (1993).
47. M. Caffarel and W. Krauth, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.1545 72, 1545 (1994).
48. O. Sakai and Y. Kuramoto, Solid State Commun. SSCOA4 0038-1098 10.1016/0038-1098(94)90589-4 89, 307 (1994).
49. R. Bulla, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.136 83, 136 (1999).
50. R. Bulla, T. A. Costi, and D. Vollhardt, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.045103 64, 045103 (2001).
51. G. Moeller, Q. Si, G. Kotliar, M. J. Rozenberg, and D. S. Fisher, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.2082 74, 2082 (1995).
52. O. Sakai, Y. Shimizu, and T. Kasuya, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.58.3666 58, 3666 (1989).
53. T. A. Costi and A. C. Hewson, Physica B PHYBE3 0921-4526 10.1016/0921-4526(90)90161-M 163, 179 (1990).
54. N. Blümer, Ph.D. thesis, Universität Augsburg, 2002.
55. ibid. Shaker Verlag, Aaachen 2003.
56. T. Pruschke, D. L. Cox, and M. Jarrell, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.47.3553 47, 3553 (1993).
57. E. Müller-Hartmann, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01470417 57, 281 (1984).
58. X. Y. Zhang, M. J. Rozenberg, and G. Kotliar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.1666 70, 1666 (1993).
59. S. K. Kehrein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81. 3912 81, 3912 (1998).
60. R. Bulla and M. Potthoff, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510050030 13, 257 (2000).
61. P. Nozières, Theory of Interacting Fermi Systems (Addison-Wesley, Reading, MA, 1997).
62. D. J. Garcia, E. Miranda, K. Hallberg, and M. J. Rozenberg, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.75.121102 75, 121102 (R) (2007).