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| VOLUME 86 | ISSUE 11 |
PAGE 832
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| Two Scenarios of the Quantum Critical Point |
V. A. Khodel
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PACS: 71.10.-w, 71.27.+a
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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 ε(p)=μ 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.
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