Универсальное Поведение Сильнокоррелированных Ферми-Систем

Шагинян, В.Р.; Амусья, Мирон Янкелевич; Попов, К. Г.

doi:10.3367/ufnr.0177.200706a.0585

Usp. Fiz. Nauk

2007

DOI: 10.3367/ufnr.0177.200706a.0585

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Универсальное Поведение Сильнокоррелированных Ферми-Систем

В.Р. Шагинян¹,

Мирон Янкелевич Амусья²,

К. Г. Попов³

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Cited by 7 publications

References 115 publications

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Two scenarios of the quantum critical point

Khodel

2008

Jetp Lett.

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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 secondorder phase transition, are demonstrated. Salient features of a different topological scenario of the QCP, associated with the emergence of bifurcation points in equation ǫ(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.A statement that the Landau quasiparticle picture breaks down at points of second-order phase transitions has become a truism. The violation of this picture is attributed to vanishing of the quasiparticle weight z in the single-particle state since the analysis of a long wavelength instability in the S = 1 particle-hole channel, performed more than forty years ago by Doniach and Engelsberg 1 and refined later by Dyugaev. 2 In nonsuperfluid Fermi systems, the z-factor is determined by the formula z = [1 − (∂Σ(p, ε)/∂ε) 0 ] −1 where the subscript 0 indicates that the respective derivative of the mass operator Σ is evaluated at the Fermi surface. This factor enters a textbook formula M M * = z 1 + ∂Σ(p, ε) ∂ǫ 0 p 0

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Two scenarios of the quantum critical point

Khodel

2008

Jetp Lett.

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General properties of a magnetic-field-induced landau Fermi liquid in high-temperature superconductors and heavy fermion metals

Shaginyan

Попов

2008

Jetp Lett.

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Spontaneous breaking of four-fold rotational symmetry in two-dimensional electronic systems explained as a continuous topological transition

Zverev

Clark²,

Nussinov³

et al. 2010

Jetp Lett.

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The Fermi liquid approach is applied to the problem of spontaneous violation of the four-fold rotational point-group symmetry (C4) in strongly correlated two-dimensional electronic systems on a square lattice. The symmetry breaking is traced to the existence of a topological phase transition. This continuous transition is triggered when the Fermi line, driven by the quasiparticle interactions, reaches the van Hove saddle points, where the group velocity vanishes and the density of states becomes singular. An unconventional Fermi liquid emerges beyond the implicated quantum critical point.

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Универсальное Поведение Сильнокоррелированных Ферми-Систем

Cited by 7 publications

References 115 publications

Two scenarios of the quantum critical point

Two scenarios of the quantum critical point

General properties of a magnetic-field-induced landau Fermi liquid in high-temperature superconductors and heavy fermion metals

Spontaneous breaking of four-fold rotational symmetry in two-dimensional electronic systems explained as a continuous topological transition

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