Two Scenarios of the Quantum Critical Point

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 {\it 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.

6 pages, added new discussion and 2 figures

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Cited by in corpus (12)

• Topology of the Fermi Surface Beyond the Quantum Critical Point
• Adaptation of the Landau-Migdal Quasiparticle Pattern to Strongly Correlated Fermi Systems
• New state of matter: heavy-fermion systems, quantum spin liquids, quasicrystals, cold gases, and high temperature superconductors
• Quasiparticles of strongly correlated Fermi liquids at high temperatures and in high magnetic fields
• Nature of the quantum critical point as disclosed by extraordinary behavior of magnetotransport and the Lorentz number in the heavy-fermion metal YbRh2Si2
• Topological crossovers near a quantum critical point
• Strongly correlated Fermi systems as a new state of matter
• Energy scales and the non-Fermi liquid behavior in YbRh2Si2
• Different scenarios of topological phase transitions in homogeneous neutron matter
• Fermi surface reconstruction in strongly correlated Fermi systems as a first order phase transition
• Behavior of the antiferromagnetic phase transition near the fermion condensation quantum phase transition in YbRh2Si2
• Transport properties of strongly correlated Fermi systems