Why normal electrons with sufficiently singular interactions do not have a sharp Fermi surface

Details Why normal electrons with sufficiently singular interactions do not have a sharp Fermi surface Why normal electrons with sufficiently singular interactions do not have a sharp Fermi surface

1995-05-14

arxiv.org/abs/cond-mat/9505059v2

J. Phys. A: Math. Gen. 28, L571 (1995)

Physics

Condensed Matter

It is shown that not only gauge fields in $d < 3$, but also sufficiently singular density-density interactions lead to analyti

Scientific paper

10.1088/0305-4470/28/22/002

We use a bosonization approach to show that the momentum distribution $n_{\bf{k}}$ of normal Fermi systems with sufficiently singular interactions is analytic in the vicinity of the non-interacting Fermi surface. These include singular density-density interactions that diverge in $d$ dimensions stronger than $ | {\bf{q}} |^{- 2 (d -1)}$ for vanishing momentum transfer ${\bf{q}}$, but also fermions that are coupled to transverse gauge fields in $ d < 3$.

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