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

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

2004-05-16

arxiv.org/abs/cond-mat/0405344v2

Phys. Rev. Lett. 94, 046404 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 1 figures, REVTeX 4; v.2 - as published in PRL

Scientific paper

10.1103/PhysRevLett.94.046404

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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