Umklapp Processes for Electrons and Their Renormalisation Group Flow

Details Umklapp Processes for Electrons and Their Renormalisation Group Flow Umklapp Processes for Electrons and Their Renormalisation Group Flow

1996-05-20

arxiv.org/abs/cond-mat/9605122v1

Physics

Condensed Matter

Style : Revtex ; There are five figures, not included in this file, but very important for following the arguments of the pape

Scientific paper

We study Umklapp couplings and their renormalisation group flow for electrons in a two dimensional lattice. It is shown that the effective low energy Hamiltonian involves not only forward scattering, but also considerable nonforward umklapp scattering, when the electrons fill a substantial fraction of the valence band. The behaviour of these couplings under renormalisation group is studied. It is shown that they remain marginal. We conclude with the possible consequences of this on properties of such electronic systems and their Fermi liquid theory.

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