Mott transition of the f-electron system in the periodic Anderson model with nearest neighbor hybridization

European Physical Journal B

Volumn 17, Issue 1, 2000, Pages 7-10

  Held, K ^a   Bulla, R ^a  

^a UNIVERSITY OF AUGSBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002027032     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100510070154     Document Type: Article

References (29)

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2. W. Metzner, D. Vollhardt, Phys. Rev. Lett. 62, 324 (1989); D. Vollhardt, in Correlated Electron Systems, edited by V.J. Emery (World Scientific, Singapore, 1993), p. 57; Th. Pruschke, M. Jarrell, J.K. Freericks, Adv. Phys. 44, 187 (1995).
3. W. Metzner, D. Vollhardt, Phys. Rev. Lett. 62, 324 (1989); D. Vollhardt, in Correlated Electron Systems, edited by V.J. Emery (World Scientific, Singapore, 1993), p. 57; Th. Pruschke, M. Jarrell, J.K. Freericks, Adv. Phys. 44, 187 (1995).
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7. R. Bulla, M. Potthoff, Eur. Phys. J. B 13, 257 (2000).
8. A three-dimensional QMC study of this nearest neighbor hybridization can be found in C. Huscroft, R.T. Scalettar, A.K. McMahan, Phys. Rev. Lett. 82, 2342 (1999).
9. DMFT studies of this on site hybridization include: M. Jarrell, H. Akhlaghpour, Th. Pruschke, Phys. Rev. Lett. 70, 1670 (1993); M. Jarrell, Phys. Rev. B 51, 7429 (1995); A.N. Tahvildar-Zadeh et al., Phys. Rev. B 55, 3332 (1997); M. Rozenberg, Phys. Rev. B 52, 7369 (1995); Two-dimensional QMC studies include: J. Bonča, J.E. Gubernatis, Phys. Rev. B 58, 6992 (1998); Y. Zhang, J. Callaway, Phys. Rev. B 38, 641 (1988); M. Vekic et al., Phys. Rev. Lett. 74, 2367 (1995).
10. DMFT studies of this on site hybridization include: M. Jarrell, H. Akhlaghpour, Th. Pruschke, Phys. Rev. Lett. 70, 1670 (1993); M. Jarrell, Phys. Rev. B 51, 7429 (1995); A.N. Tahvildar-Zadeh et al., Phys. Rev. B 55, 3332 (1997); M. Rozenberg, Phys. Rev. B 52, 7369 (1995); Two-dimensional QMC studies include: J. Bonča, J.E. Gubernatis, Phys. Rev. B 58, 6992 (1998); Y. Zhang, J. Callaway, Phys. Rev. B 38, 641 (1988); M. Vekic et al., Phys. Rev. Lett. 74, 2367 (1995).
11. DMFT studies of this on site hybridization include: M. Jarrell, H. Akhlaghpour, Th. Pruschke, Phys. Rev. Lett. 70, 1670 (1993); M. Jarrell, Phys. Rev. B 51, 7429 (1995); A.N. Tahvildar-Zadeh et al., Phys. Rev. B 55, 3332 (1997); M. Rozenberg, Phys. Rev. B 52, 7369 (1995); Two-dimensional QMC studies include: J. Bonča, J.E. Gubernatis, Phys. Rev. B 58, 6992 (1998); Y. Zhang, J. Callaway, Phys. Rev. B 38, 641 (1988); M. Vekic et al., Phys. Rev. Lett. 74, 2367 (1995).
12. DMFT studies of this on site hybridization include: M. Jarrell, H. Akhlaghpour, Th. Pruschke, Phys. Rev. Lett. 70, 1670 (1993); M. Jarrell, Phys. Rev. B 51, 7429 (1995); A.N. Tahvildar-Zadeh et al., Phys. Rev. B 55, 3332 (1997); M. Rozenberg, Phys. Rev. B 52, 7369 (1995); Two-dimensional QMC studies include: J. Bonča, J.E. Gubernatis, Phys. Rev. B 58, 6992 (1998); Y. Zhang, J. Callaway, Phys. Rev. B 38, 641 (1988); M. Vekic et al., Phys. Rev. Lett. 74, 2367 (1995).
13. DMFT studies of this on site hybridization include: M. Jarrell, H. Akhlaghpour, Th. Pruschke, Phys. Rev. Lett. 70, 1670 (1993); M. Jarrell, Phys. Rev. B 51, 7429 (1995); A.N. Tahvildar-Zadeh et al., Phys. Rev. B 55, 3332 (1997); M. Rozenberg, Phys. Rev. B 52, 7369 (1995); Two-dimensional QMC studies include: J. Bonča, J.E. Gubernatis, Phys. Rev. B 58, 6992 (1998); Y. Zhang, J. Callaway, Phys. Rev. B 38, 641 (1988); M. Vekic et al., Phys. Rev. Lett. 74, 2367 (1995).
14. DMFT studies of this on site hybridization include: M. Jarrell, H. Akhlaghpour, Th. Pruschke, Phys. Rev. Lett. 70, 1670 (1993); M. Jarrell, Phys. Rev. B 51, 7429 (1995); A.N. Tahvildar-Zadeh et al., Phys. Rev. B 55, 3332 (1997); M. Rozenberg, Phys. Rev. B 52, 7369 (1995); Two-dimensional QMC studies include: J. Bonča, J.E. Gubernatis, Phys. Rev. B 58, 6992 (1998); Y. Zhang, J. Callaway, Phys. Rev. B 38, 641 (1988); M. Vekic et al., Phys. Rev. Lett. 74, 2367 (1995).
15. DMFT studies of this on site hybridization include: M. Jarrell, H. Akhlaghpour, Th. Pruschke, Phys. Rev. Lett. 70, 1670 (1993); M. Jarrell, Phys. Rev. B 51, 7429 (1995); A.N. Tahvildar-Zadeh et al., Phys. Rev. B 55, 3332 (1997); M. Rozenberg, Phys. Rev. B 52, 7369 (1995); Two-dimensional QMC studies include: J. Bonča, J.E. Gubernatis, Phys. Rev. B 58, 6992 (1998); Y. Zhang, J. Callaway, Phys. Rev. B 38, 641 (1988); M. Vekic et al., Phys. Rev. Lett. 74, 2367 (1995).
16. For the HM, the QMC simulation [11] shows that besides the central resonance there is additional spectral weight at low frequencies, also close to the Mott transition. Thus, at higher temperatures, approximation (ii) is less good than at T = 0 where NRG results [15] show a more complete separation of the central resonance from the rest of the spectrum.
17. A. Georges, G. Kotliar, Q. Si, Int. J. Mod. Phys. B 6, 705 (1992).
18. Th. Pruschke, private communication.
19. J. Schlipf et al., Phys. Rev. Lett. 82, 4890 (1999).
20. For the NRG algorithm see: K.G. Wilson, Rev. Mod. Phys. 47, 773 (1975); H.R. Krishna-Murthy, J.W. Wilkins, K.G. Wilson, Phys. Rev. B 21, 1003 (1980); R. Bulla, preprint cond-mat/0003377 (2000).
21. For the NRG algorithm see: K.G. Wilson, Rev. Mod. Phys. 47, 773 (1975); H.R. Krishna-Murthy, J.W. Wilkins, K.G. Wilson, Phys. Rev. B 21, 1003 (1980); R. Bulla, preprint cond-mat/0003377 (2000).
22. For the NRG algorithm see: K.G. Wilson, Rev. Mod. Phys. 47, 773 (1975); H.R. Krishna-Murthy, J.W. Wilkins, K.G. Wilson, Phys. Rev. B 21, 1003 (1980); R. Bulla, preprint cond-mat/0003377 (2000).
23. For the QMC algorithm see: J.E. Hirsch, R.M. Fye, Phys. Rev. Lett. 56, 2521 (1986); M. Jarrell, in Numerical Methods for Lattice Quantum Many-Body Problems, edited by D. Scalapino (Addison Wesley, 1997); M. Ulmke, Phasenübergänge in stark korrelierten Elektronensystemen, Ph.D. thesis, RWTH Aachen, 1995 [ISSN 0944-2951].
24. For the QMC algorithm see: J.E. Hirsch, R.M. Fye, Phys. Rev. Lett. 56, 2521 (1986); M. Jarrell, in Numerical Methods for Lattice Quantum Many-Body Problems, edited by D. Scalapino (Addison Wesley, 1997); M. Ulmke, Phasenübergänge in stark korrelierten Elektronensystemen, Ph.D. thesis, RWTH Aachen, 1995 [ISSN 0944-2951].
25. For the QMC algorithm see: J.E. Hirsch, R.M. Fye, Phys. Rev. Lett. 56, 2521 (1986); M. Jarrell, in Numerical Methods for Lattice Quantum Many-Body Problems, edited by D. Scalapino (Addison Wesley, 1997); M. Ulmke, Phasenübergänge in stark korrelierten Elektronensystemen, Ph.D. thesis, RWTH Aachen, 1995 [ISSN 0944-2951].
26. df = 1, 0.5, and 0.2, respectively.
27. R. Bulla, Phys. Rev. Lett. 83, 136 (1999).
28. M.J. Rozenberg, R. Chitra, G. Kotliar, Phys. Rev. Lett. 83, 3498 (1999).
29. 1): insulator.