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Multiple phonons have been considered in related models of correlated electrons
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e.g. R. Fehrenbacher
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Multiple phonons have been considered in related models of correlated electrons by e.g. R. Fehrenbacher, Phys. Rev. B 49, 12 230 (1994), G. Wellein, H. Röder, H. Fehske, Phys. Rev. B 53, 9666 (1996) in one, two dimensions respectively.
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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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0347062844
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note
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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.
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39
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0347693572
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To the best of our knowledge, no proof exists that dynamical correlations should be identical
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To the best of our knowledge, no proof exists that dynamical correlations should be identical.
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40
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0346432630
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Exact diagonalisation methods for models of strongly correlated fermions
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D. Poilblanc edited by D.J. Scalapino Frontiers in physics
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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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edited by C. Domb, J.L. Lebowitz Academic, London
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Barber, M.N.1
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43
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0347062842
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For the static model (3), chains with up to L = 28 sites were considered
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For the static model (3), chains with up to L = 28 sites were considered.
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44
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0346432631
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note
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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.
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46
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0040221021
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Revcolevschi, A.5
Hennion, B.6
Jolicoeur, Th.7
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47
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0347062841
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note
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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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