Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2010-11-04
Phys. Rev. B 83, 045104 (2011)
Physics
Condensed Matter
Strongly Correlated Electrons
9 pages, 5 figures, submitted to PRB
Scientific paper
10.1103/PhysRevB.83.045104
We use both a perturbative Green's function analysis and standard perturbative quantum mechanics to calculate the decrease in energy and the effective mass for an electron interacting with acoustic phonons. The interaction is between the difference in lattice displacements for neighbouring ions, and the hopping amplitude for an electron between those two sites. The calculations are performed in one, two, and three dimensions, and comparisons are made with results from other electron-phonon models. We also compute the spectral function and quasiparticle residue, as a function of characteristic phonon frequency. There are strong indications that this model is always polaronic on one dimension, where an unusual relation between the effective mass and the quasiparticle residue is also found.
Chandler Carl J.
Li Zhou
Marsiglio Frank
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