The quantum vs classical aspects of one dimensional electron-phonon systems revisited by the renormalization group method

Details The quantum vs classical aspects of one dimensional electron-phonon systems revisited by the renormalization group method The quantum vs classical aspects of one dimensional electron-phonon systems revisited by the renormalization group method

2007-07-31

arxiv.org/abs/0708.0012v1

Phys. Rev. B 76, 195115 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

15 pages, 8 Figures

Scientific paper

10.1103/PhysRevB.76.195115

An extension of the renormalization group method that includes the effect of retardation for the interactions of a fermion gas is used to re-examine the quantum and classical properties of Peierls- like states in one dimension. For models of spinless and spin-1/2 fermions interacting with either intra or intermolecular phonons the quantum corrections to the Peierls gap at half-filling are determined at arbitrary phonon frequency. The nature of quantum-classical transitions is clarified in weak coupling.

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