This article is cited in 25 papers

CONDENSED MATTER

Two Scenarios of the Quantum Critical Point

V. A. Khodel<sup>ab

a</sup> Russian Research Centre Kurchatov Institute
^b McDonnell Center for the Space Science and Department of Physics, Washington University, St.Louis, MO 63130, USA

Abstract: Two different scenarios of the quantum critical point (QCP), a zero-temperature instability of the Landau state, related to the divergence of the effective mass, are investigated. Flaws of the standard scenario of the QCP, where this divergence is attributed to the occurrence of some second–order phase transition, are demonstrated. Salient features of a different topological scenario of the QCP, associated with the emergence of bifurcation points in equation $\epsilon(p)=\mu$ that ordinarily determines the Fermi momentum, are analyzed. The topological scenario of the QCP is applied to three-dimensional (3D) Fermi liquids with an attractive current-current interaction.

PACS: 71.10.-w, 71.27.+a

Received: 24.10.2007

Language: English

 English version: Journal of Experimental and Theoretical Physics Letters, 2007, 86:11, 721–726

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