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

Abstract

We use a bosonization approach to show that the momentum distribution $n_{\mathbf{k}}$ 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 $|\mathbf{q}{|}^{-2(d-1)}$ for vanishing momentum transfer $\mathbf{q}$, but also fermions that are coupled to transverse gauge fields in $d<3$.

It is shown that not only gauge fields in $d<3$, but also sufficiently singular density-density interactions lead to analytic momentum distributions. To appear as letter to the editor in J. Phys. A: Math. Gen

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Cited by in corpus (2)

• Non-Relativistic Fermions Coupled to Transverse Gauge-Fields: The Single-Particle Green's Function in Arbitrary Dimension
• Calculation of the average Green's function of electrons in a stochastic medium via higher-dimensional bosonization