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arXiv · 0708.0012

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

H. Bakrim·C. Bourbonnais
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Abstract

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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H. Bakrim, C. Bourbonnais. 2007-07-31. The quantum vs classical aspects of one dimensional electron-phonon systems revisited by the renormalization group method. https://doi.org/10.1103/physrevb.76.195115

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