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Volumn 65, Issue 17, 2002, Pages 1-10

Dimensionality effects on the Holstein polaron

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EID: 85038341578     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.65.174306     Document Type: Article
Times cited : (56)

References (45)
  • 3
    • 85038312832 scopus 로고
    • edited by Y. Bar-Yam, T. Egami, J. Mustre de Leon, and A. R. Bishop (World Scientific, Singapore, 1992); A. S. Alexandrov and N. F. Mott, Polarons and Bipolarons (World Scientific, Singapore
    • Lattice effects in High-(formula presented) Superconductors, edited by Y. Bar-Yam, T. Egami, J. Mustre de Leon, and A. R. Bishop (World Scientific, Singapore, 1992); A. S. Alexandrov and N. F. Mott, Polarons and Bipolarons (World Scientific, Singapore, 1995).
    • (1995) Lattice effects in High-(formula presented) Superconductors
  • 5
    • 0000198551 scopus 로고
    • Excitons, edited by E. I. Rashba and M. D. Sturge (North Holland, Amsterdam
    • E. I. Rashba, in Modern Problems in Condensed Matter Sciences, Vol. 2, Excitons, edited by E. I. Rashba and M. D. Sturge (North Holland, Amsterdam, 1982), p. 543.
    • (1982) Modern Problems in Condensed Matter Sciences , vol.2 , pp. 543
    • Rashba, E.I.1
  • 22
    • 0034723642 scopus 로고    scopus 로고
    • A. H. RomeroD. W. BrownK. LindenbergPhys. Lett. A 266, 414 (2000).
    • (2000) Phys. Lett. A , vol.266 , pp. 414
    • Romero, A.H.1
  • 24
    • 85038285590 scopus 로고    scopus 로고
    • Problems with other types of electron-phonon coupling and lattices, as well as the two-electron (bipolaron) problem, can be solved by similar methods
    • Problems with other types of electron-phonon coupling and lattices, as well as the two-electron (bipolaron) problem, can be solved by similar methods.
  • 25
    • 85038300677 scopus 로고    scopus 로고
    • For strong electron-phonon coupling, it is sometimes advantageous to add more phonon basis states very near to the electron, called a “tower.” Even with a tower, convergence is slower at strong coupling, corresponding to a shallower slope in Fig. 22
    • For strong electron-phonon coupling, it is sometimes advantageous to add more phonon basis states very near to the electron, called a “tower.” Even with a tower, convergence is slower at strong coupling, corresponding to a shallower slope in Fig. 22.
  • 26
    • 85038336024 scopus 로고    scopus 로고
    • private communication
    • H. Fehske (private communication).
    • Fehske, H.1
  • 36
    • 4043083946 scopus 로고
    • The nearest-neighbor correlation (formula presented) was calculated at finite temperature by QMC. See
    • The nearest-neighbor correlation (formula presented) was calculated at finite temperature by QMC. SeeH. De Raedt and A. Lagendijk, Phys. Rev. Lett. 49, 1522 (1982).
    • (1982) Phys. Rev. Lett. , vol.49 , pp. 1522
    • De Raedt, H.1    Lagendijk, A.2
  • 37
    • 85038312125 scopus 로고    scopus 로고
    • All presented el-ph correlation functions are evaluated for wave functions that are normalized to one electron per site. For conventional normalization, there would be an additional (formula presented) factor, where N is the number of sites in the system
    • All presented el-ph correlation functions are evaluated for wave functions that are normalized to one electron per site. For conventional normalization, there would be an additional (formula presented) factor, where N is the number of sites in the system.
  • 38
    • 85038269738 scopus 로고    scopus 로고
    • the weak-coupling regime, the extent of the el-ph correlations at (formula presented) is much larger than at (formula presented). For the 1D polaron, the el-ph correlations decay exponentially at all k for all parameters; the polaron and additional phonon are bound at (formula presented). It is not clear that this is the case in three dimensions
    • The error in the flattened band is about 2.1% for the 3D polaron. In the weak-coupling regime, the extent of the el-ph correlations at (formula presented) is much larger than at (formula presented). For the 1D polaron, the el-ph correlations decay exponentially at all k for all parameters; the polaron and additional phonon are bound at (formula presented). It is not clear that this is the case in three dimensions.
    • The error in the flattened band is about 2.1% for the 3D polaron
  • 41
  • 43
    • 85038334381 scopus 로고    scopus 로고
    • A comparison of energies obtained by a wider variety of methods is contained in Ref. 17. Note that what is referred to as the “Toyozawa variation” in that reference is a more sophisticated trial function than what we call the Toyozawa wave function [Eq. (8)]
    • A comparison of energies obtained by a wider variety of methods is contained in Ref. 17. Note that what is referred to as the “Toyozawa variation” in that reference is a more sophisticated trial function than what we call the Toyozawa wave function [Eq. (8)].
  • 45
    • 0343887933 scopus 로고    scopus 로고
    • A series of studies on improving the Toyozawa variational method can be found in Refs. 17 and 38, and in
    • A series of studies on improving the Toyozawa variational method can be found in Refs. 17 and 38, and inY. Zhao, D. W. Brown, K. Lindenberg, J. Chem. Phys. 106, 5622 (1997).
    • (1997) J. Chem. Phys. , vol.106 , pp. 5622
    • Zhao, Y.1    Brown, D.W.2    Lindenberg, K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.