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Volumn 1, Issue 1, 1998, Pages 19-28

Dynamical properties of low-dimensional CuGeO3 and NaV2O5 spin-Peierls systems

Author keywords

64.70.Kb Solid solid transitions; 71.27.+a Strongly correlated electron systems; heavy fermions; 75.10.Jm Quantized spin models

Indexed keywords

ANTIFERROMAGNETISM; GERMANIUM COMPOUNDS; NEUTRON SCATTERING; OXIDES; PHONONS; VANADIUM COMPOUNDS;

EID: 0031621643     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100510050148     Document Type: Article
Times cited : (34)

References (47)
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    • In two dimensional systems, similar approaches can be found e.g. in A. Dobry, A. Greco, S. Koval, J. Riera, Phys. Rev. B 52, 13 722 (1995); Poilblanc, T. Sakai, W. Hanke, D.J. Scalapino, Europhys. Lett. 34, 367 (1996).
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    • In two dimensional systems, similar approaches can be found e.g. in A. Dobry, A. Greco, S. Koval, J. Riera, Phys. Rev. B 52, 13 722 (1995); Poilblanc, T. Sakai, W. Hanke, D.J. Scalapino, Europhys. Lett. 34, 367 (1996).
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    • note
    • The equivalence has been rigorously established by reference [21] for the Fröhlich Hamiltonian, should be also exact for model (2) which includes correlations between electrons.
  • 39
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    • To the best of our knowledge, no proof exists that dynamical correlations should be identical
    • To the best of our knowledge, no proof exists that dynamical correlations should be identical.
  • 40
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    • Exact diagonalisation methods for models of strongly correlated fermions
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    • For a review on numerical methods based on the Lanczos algorithm, see e.g. "Exact diagonalisation methods for models of strongly correlated fermions", D. Poilblanc in Numerical methods for strongly correlated systems, edited by D.J. Scalapino (Frontiers in physics, 1997).
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    • For the static model (3), chains with up to L = 28 sites were considered
    • For the static model (3), chains with up to L = 28 sites were considered.
  • 44
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    • note
    • The second singlet double-magnon excitation energy is roughly twice larger than the first triplet excitation (for more details see e.g. [17]). However, singlet phononic excitations may lie below the continuum.
  • 47
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    • note
    • As can be seen e.g. in the finite size extrapolations of the triplet excitations energies at q = π/2. In contrast, in the static model (3), the computed data [19, 17] are almost indistinguishable from the extrapolated values.


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