Quantum Critical Behavior Near a Density-Wave Instability in an Isotropic Fermi Liquid

Andrey V. Chubukov, Victor M. Galitski, and Victor M. Yakovenko

Phys. Rev. Lett. 94, 046404 – Published 3 February 2005

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 $Σ (k, ω) \approx Σ (k)$ to $Σ (k, ω) \approx Σ (ω)$ , where $k$ and $ω$ 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.

Received 15 May 2004

DOI:https://doi.org/10.1103/PhysRevLett.94.046404

Authors & Affiliations

Andrey V. Chubukov^1,2, Victor M. Galitski^2,3, and Victor M. Yakovenko²

¹Department of Physics, University of Wisconsin, Madison, WI 53706, USA
²Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, MD 20742-4111, USA
³Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA 93106, USA

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Issue

Vol. 94, Iss. 4 — 4 February 2005

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