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Quantum critical behavior near a density-wave instability in an isotropic Fermi liquid

Andrey V. Chubukov·Victor Galitski·Victor M. Yakovenko
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Abstract

We study the quantum critical behavior in an isotropic Fermi liquid in the vicinity of a zero-temperature density-wave transition at a finite wave vector q_c. We show that, near the transition, the Landau damping of the soft bosonic mode yields a crossover in the fermionic self-energy from Sigma(k,omega) ~ Sigma(k) to Sigma(k,omega) ~ Sigma(omega), where k and omega are momentum and frequency. Because of this self-generated locality, the fermionic effective mass diverges right at the quantum critical point, not before, i.e., the Fermi liquid survives up to the critical point.

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Andrey V. Chubukov, Victor Galitski, Victor M. Yakovenko. 2005-02-09. Quantum critical behavior near a density-wave instability in an isotropic Fermi liquid. https://doi.org/10.1103/physrevlett.94.046404

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