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- W2059280524 abstract "We consider an electron-phonon system in two and three dimensions on square, hexagonal, and cubic lattices. The model is a modification of the standard Holstein model where the optical branch is appropriately curved in order to have a reflection positive Hamiltonian. Using infrared bounds together with a recent result on the coexistence of long-range order for electron and phonon fields, we prove that, at sufficiently low temperatures and sufficiently strong electron-phonon coupling, there is a Peierls instability towards a period two charge-density wave at half-filling. Our results take into account the quantum fluctuations of the elastic field in a rigorous way and are therefore independent of any adiabatic approximation. The strong coupling and low-temperature regime found here is independent of the strength of the quantum fluctuations of the elastic field." @default.
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- W2059280524 date "1999-11-15" @default.
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- W2059280524 title "Charge-density wave and quantum fluctuations in a molecular crystal" @default.
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- W2059280524 doi "https://doi.org/10.1103/physrevb.60.13484" @default.
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