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Symmetry and causality constraints on Fermi liquids
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Journal Article
Symmetry and causality constraints on Fermi liquids
2025
Overview
A
bstract
We investigate symmetry and causality constraints on interacting Fermi liquids. Whereas Galilean or Lorentz boost symmetry leads to a well-known constraint on the first Landau parameter
F
1
, we show that scale invariance similarly constrains
F
0
. In the case of conformal Fermi liquids, we show that causality constraints on the particle-hole continuum and on zero sound strongly restrict the available parameter space for interacting Fermi liquids. We also consider nonlinear response, which we show is sensitive to additional “generalized Landau parameters” even at lowest orders in the long wavelength limit. We impose Galilean, Lorentz and scale symmetry on these generalized Landau parameters, obtaining further nonlinear constraints. We test our constraints in several microscopic models that enter a Fermi liquid phase.
Publisher
Springer Berlin Heidelberg,Springer Nature B.V,SpringerOpen
