Hierarchical liouville-space approach for accurate and universal characterization of quantum impurity systems

Physical Review Letters

Volumn 109, Issue 26, 2012, Pages

  Li, Zhenhua ^a   Tong, Ninghua ^a   Zheng, Xiao ^b   Hou, Dong ^b   Wei, Jianhua ^a   Hu, Jie ^c,d   Yan, Yijing ^b,c  

^a RENMIN UNIVERSITY OF CHINA   (China)

^b UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

^c HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

^d CAPITAL NORMAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ANDERSON MODELS; CONTINUOUS TRANSITIONS; DIFFERENTIAL CONDUCTANCES; DYNAMICAL MEAN-FIELD THEORY; KONDO RESONANCES; KONDO STATE; LATTICE SYSTEM; NON-EQUILIBRIUM PROPERTIES; NUMERICAL APPROACHES; NUMERICAL RENORMALIZATION GROUPS; QUANTUM-IMPURITY SYSTEMS; SPIN STATE;

CRYSTAL IMPURITIES; EQUATIONS OF MOTION; MEAN FIELD THEORY; STATISTICAL MECHANICS;

HIERARCHICAL SYSTEMS;

EID: 84871819748     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.109.266403     Document Type: Article

References (44)

1. A. Georges, G. Kotliar, W. Krauth, and M. J. Rozenberg, Rev. Mod. Phys. 68, 13 (1996). RMPHAT 0034-6861 10.1103/RevModPhys.68.13
2. J. E. Hirsch and R. M. Fye, Phys. Rev. Lett. 56, 2521 (1986). PRLTAO 0031-9007 10.1103/PhysRevLett.56.2521
3. E. Gull, A. Millis, A. Lichtenstein, A. Rubtsov, M. Troyer, and P. Werner, Rev. Mod. Phys. 83, 349 (2011). RMPHAT 0034-6861 10.1103/RevModPhys.83. 349
4. S. R. White, Phys. Rev. Lett. 69, 2863 (1992). PRLTAO 0031-9007 10.1103/PhysRevLett.69.2863
5. G. Vidal, Phys. Rev. Lett. 91, 147902 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.91.147902
6. K. G. Wilson, Rev. Mod. Phys. 47, 773 (1975). RMPHAT 0034-6861 10.1103/RevModPhys.47.773
7. R. Bulla, T. A. Costi, and T. Pruschke, Rev. Mod. Phys. 80, 395 (2008). RMPHAT 0034-6861 10.1103/RevModPhys.80.395
8. E. Khosravi, A.-M. Uimonen, A. Stan, G. Stefanucci, S. Kurth, R. van Leeuwen, and E. Gross, Phys. Rev. B 85, 075103 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.075103
9. K. S. Thygesen and A. Rubio, Phys. Rev. B 77, 115333 (2008). PRBMDO 1098-0121 10.1103/PhysRevB.77.115333
10. S. Kurth, G. Stefanucci, E. Khosravi, C. Verdozzi, and E. K. U. Gross, Phys. Rev. Lett. 104, 236801 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104. 236801
11. P. W. Anderson, Phys. Rev. 124, 41 (1961). PHRVAO 0031-899X 10.1103/PhysRev.124.41
12. J. Hubbard, Proc. R. Soc. A 276, 238 (1963). PRLAAZ 1364-5021 10.1098/rspa.1963.0204
13. P. A. Lee, T. M. Rice, J. W. Serene, L. J. Sham, and J. W. Wilkins, Comments Condens. Matter Phys. 12, 99 (1986). CCMPEB 0885-4483
14. J. S. Jin, X. Zheng, and Y. J. Yan, J. Chem. Phys. 128, 234703 (2008). JCPSA6 0021-9606 10.1063/1.2938087
15. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.109.266403 for the details of the HEOM formalism, application of HEOM approach to various strongly correlated quantum impurity models, and comparison of HEOM approach with some existing methods.
16. X. Zheng, J. S. Jin, S. Welack, M. Luo, and Y. J. Yan, J. Chem. Phys. 130, 164708 (2009). JCPSA6 0021-9606 10.1063/1.3123526
17. X. Zheng, R. X. Xu, J. Xu, J. S. Jin, J. Hu, and Y. J. Yan, Prog. Chem. 24, 1129 (2012). 1005-281X
18. R. P. Feynman and F. L. Vernon, Jr., Ann. Phys. (N.Y.) 24, 118 (1963). APNYA6 0003-4916 10.1016/0003-4916(63)90068-X
19. L. H. Ryder, Quantum Field Theory (Cambridge University Press, Cambridge, England, 1996), 2nd ed.
20. J. Hu, R. X. Xu, and Y. J. Yan, J. Chem. Phys. 133, 101106 (2010). JCPSA6 0021-9606 10.1063/1.3484491
21. J. Hu, M. Luo, F. Jiang, R. X. Xu, and Y. J. Yan, J. Chem. Phys. 134, 244 106 (2011). JCPSA6 0021-9606 10.1063/1.3602466
22. X. Zheng, J. S. Jin, and Y. J. Yan, New J. Phys. 10, 093016 (2008). NJOPFM 1367-2630 10.1088/1367-2630/10/9/093016
23. A. Damascelli, Z. Hussain, and Z. X. Shen, Rev. Mod. Phys. 75, 473 (2003). RMPHAT 0034-6861 10.1103/RevModPhys.75.473
24. O. Y. Kolesnychenko, G. Heijnen, A. Zhuravlev, R. de Kort, M. Katsnelson, A. Lichtenstein, and H. van Kempen, Phys. Rev. B 72, 085456 (2005). PRBMDO 1098-0121 10.1103/PhysRevB.72.085456
25. H.-G. Luo, J.-J. Ying, and S.-J. Wang, Phys. Rev. B 59, 9710 (1999). PRBMDO 0163-1829 10.1103/PhysRevB.59.9710
26. A. C. Hewson, The Kondo Problem to Heavy-Fermions (Cambridge University Press, Cambridge, England, 1993).
27. A. Weichselbaum and J. von Delft, Phys. Rev. Lett. 99, 076402 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.076402
28. R. Bulla, A. C. Hewson, and T. Pruschke, J. Phys. Condens. Matter 10, 8365 (1998). JCOMEL 0953-8984 10.1088/0953-8984/10/37/021
29. W. C. Oliveira and L. N. Oliveira, Phys. Rev. B 49, 11986 (1994). PRBMDO 0163-1829 10.1103/PhysRevB.49.11986
30. A. Isidori, D. Roosen, L. Bartosch, W. Hofstetter, and P. Kopietz, Phys. Rev. B 81, 235120 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.81.235120
31. J. M. Luttinger, Phys. Rev. 121, 942 (1961). PHRVAO 0031-899X 10.1103/PhysRev.121.942
32. K. Yamada, Prog. Theor. Phys. 53, 970 (1975). PTPKAV 0033-068X 10.1143/PTP.53.970
33. H. R. Krishna-murthy, J. W. Wilkins, and K. G. Wilson, Phys. Rev. B 21, 1003 (1980). PRBMDO 0163-1829 10.1103/PhysRevB.21.1003
34. H. R. Krishna-murthy, J. W. Wilkins, and K. G. Wilson, Phys. Rev. B 21, 1044 (1980). PRBMDO 0163-1829 10.1103/PhysRevB.21.1044
35. N. L. Dickens and D. E. Logan, J. Phys. Condens. Matter 13, 4505 (2001). JCOMEL 0953-8984 10.1088/0953-8984/13/20/311
36. E. Dagotto, Rev. Mod. Phys. 66, 763 (1994). RMPHAT 0034-6861 10.1103/RevModPhys.66.763
37. M. Caffarel and W. Krauth, Phys. Rev. Lett. 72, 1545 (1994). PRLTAO 0031-9007 10.1103/PhysRevLett.72.1545
38. Q. Si, M. J. Rozenberg, G. Kotliar, and A. E. Ruckenstein, Phys. Rev. Lett. 72, 2761 (1994). PRLTAO 0031-9007 10.1103/PhysRevLett.72.2761
39. G. Kotliar and A. E. Ruckenstein, Phys. Rev. Lett. 57, 1362 (1986). PRLTAO 0031-9007 10.1103/PhysRevLett.57.1362
40. N. E. Bickers, Rev. Mod. Phys. 59, 845 (1987). RMPHAT 0034-6861 10.1103/RevModPhys.59.845
41. J. Hubbard, Proc. R. Soc. A 277, 237 (1964). PRLAAZ 1364-5021 10.1098/rspa.1964.0019
42. J. C. Chen, A. M. Chang, and M. R. Melloch, Phys. Rev. Lett. 92, 176801 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.176801
43. O. Sakai, Y. Shimizu, and T. Kasuya, Solid State Commun. 75, 81 (1990). SSCOA4 0038-1098 10.1016/0038-1098(90)90346-D
44. I. Affleck, A. W. W. Ludwig, and B. A. Jones, Phys. Rev. B 52, 9528 (1995). PRBMDO 0163-1829 10.1103/PhysRevB.52.9528