Abstract
A variational approach is proposed to study some properties of the adiabatic Holstein–Hubbard model which describes an assembly of fermionic charges interacting with a static atomic lattice. The sum of the electronic energy and the lattice elastic energy is proved to have minima with a many-polaron structure in a certain domain of model parameters. Our analytical work consists in expanding these energy minima from the zero electronic transfer limit which remarkably holds for a finite amplitude of the onsite Hubbard repulsion and for an unbounded lattice size.
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REFERENCES
D. Emin and T. Holstein, Phys. Rev. Lett. 36:323 (1976); D. Emin, Physics Today 34 (June 1982).
S. Aubry, G. Abramovici, and J. L. Raimbault, J. Stat. Phys. 67:675 (1992).
P. Quemerais, D. Campbell, J. L. Raimbault, and S. Aubry, Int. J. Mod. Phys. B 7:4289 (1993).
J. L. Raimbault and S. Aubry, J. Phys. C 7:8287 (1995).
J. P. Lorenzo and S. Aubry, Physica D 113:276 (1998).
L. Proville and S. Aubry, Physica D 113:307 (1998).
L. Proville and S. Aubry, Eur. Phys. J. B 11:41 (1999).
L. Proville and S. Aubry, Eur. Phys. J. B 15:405 (1999).
C. Baesens and R. S. MacKay, Nonlinearity 7:59 (1994).
S. Aubry, The concept of anti-integrability: Definition, theorems and applications, in Twist Mappings and Their Applications, R. McGehee and K. R. Meyer, eds., The IMA Volumes in Mathematics and Applications, Vol. 44 (Springer, 1992), pp. –54.
J. Bardeen, L. N. Cooper, and J. R. Schrieffer, Phys. Rev. 106:162 (1957), and 108:1175 (1957).
M. C. Gutzwiller, Phys. Rev. 137:A1726 (1965).
W. P. Su, J. R. Schrieffer, and A. J. Heeger, Phys. Rev. Lett. 25:1968 (1979); Phys. Rev. B 22:2099 (1980).