Many-Polaron Theory for CDW,SDW and Superconducting Phases in One-Dimensional N-Sites N-Elctrons System : Quantum-Classic Crossover
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A one-dimensional many-electron system with on-site electron-electron(e-e)and electron-phonon(e-p) interactions is studied in the context of polarontheory, so as to clarify the quantum effect of phonon on the phase diagram. Latticedistortions moving with electrons as well as a frozen one are taken into accountby a variational method combined with mean field theory. The phase diagram isgiven in a tetrahedral coordinate, spanned by four parameters : inter-site transfer ofelectron T, e-e repulsion U, e-p coupling S and phonon energy ctc. This "T-U-S-atetrahedron" is shown to be divided into CVW and SDW regions by the boundary.5= U. In the CDW region, the polaron radius increases as the retardation effectincreases, and in its long limit the supercondtxcting state(SCS) becomes far unstablethan CDW, while in its short limit, SCS is degenerate with CDW, indicating theimportance of this radius in quantum-classic crossover.
- 社団法人日本物理学会の論文
- 1985-05-15
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