Self-energy, momentum distribution, and effective masses of a dilute Fermi gas

Sartor, R.; Mahaux, C.

doi:10.1103/physrevc.21.1546

Cited by 70 publications

(93 citation statements)

References 30 publications

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“…17 In this connection, we point out that according to Belyakov [30] (see also [31])n(kf;σ)·∇ k nσ(k) logarithmically diverges as k → kf;σ for nσ(k) pertaining to the isotropic GS of fermions interacting through a short-range potential. For some relevant details see § 6 in [18].…”

Section: The Interacting Hamiltonian and Some Basic Detailsmentioning

confidence: 99%

On the break in the single-particle energy dispersions and the ‘universal’ nodal Fermi velocity in the high-temperature copper oxide superconductors

Farid

2004

Philosophical Magazine

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Recent data from angle-resolved photoemission experiments published by Zhou et al. [Nature, 423, 398 (2003)] concerning a number of hole-doped copper-oxide based high-temperature superconductors reveal that in the nodal directions of the underlying square Brillouin zones (i.e. the directions along which the d-wave superconducting gap is vanishing) the Fermi velocities for some finite range of k inside the Fermi sea and away from the nodal Fermi wave vector kf are to within an experimental uncertainty of approximately 20% the same both in all the compounds investigated and over a wide range of doping concentrations and that, in line with earlier experimental observations, at some characteristic wave vector k⋆ away from kf ( k⋆ − kf typically amounts to approximately 5% of kf ) the Fermi velocities undergo a sudden change, with this change (roughly speaking, an increase for k < k⋆ ) being the greatest (smallest) in the case of underdoped (overdoped) compounds. We demonstrate that these observations establish four essential facts: firstly, the ground-state momentum distribution function n(k) must be discontinuous at k = k⋆; with vin which v k⋆ is the 'Fermi' velocity corresponding to the case in which Z k⋆ = 0 (for twobody interaction potentials of shorter range than the Coulomb potential,); secondly, the single-particle spectral function A(k; ε) must at k = k⋆ possess a coherent contribution corresponding to a well-defined quasiparticle excitation at an energy of approximately 70 meV below the Fermi energy; thirdly, the amount of discontinuity Z kf in n(k) at the nodal Fermi points must be small and ideally vanishing; fourthly, the long range of the two-body Coulomb potential is of vital importance for realization of a certain aspect of the observed behaviour in the Fermi velocities (specifically) in the underdoped regime. The condition Z kf = 0 conforms with the observation through an earlier angle-resolved photoemission experiment by Valla et al. [Science, 285, 2110[Science, 285, (1999], on the optimally doped compound Bi2Sr2CaCu2O 8+δ , which shows that the imaginary part of the self-energy along the nodal directions of the Brillouin zone and in the vicinity of the nodal Fermi points satisfies the scaling behaviour characteristic of marginal Fermi-liquid metallic states, for which Z kf is indeed vanishing. We present arguments advocating the viewpoint that the observed 'kink' in the measured energy dispersions cannot be a direct consequence of electron-phonon interaction, although a finite Z k⋆ may possibly arise from this interaction. In other words, even though possibly vital, the role played by phonons in bringing about the latter 'kink' must be indirect. Our approach further provides a consistent interpretation of the observed sudden decrease in the width of the so-called 'momentum distribution curve' on k increasing above k⋆ .

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Section: The Interacting Hamiltonian and Some Basic Detailsmentioning

confidence: 99%

On the break in the single-particle energy dispersions and the ‘universal’ nodal Fermi velocity in the high-temperature copper oxide superconductors

Farid

2004

Philosophical Magazine

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“…In a normal Fermi liquid, 52 the momentum distribution has a discontinuity and infinite slopes 53 at the Fermi edge, k = 1,…”

Section: 51mentioning

confidence: 99%

Momentum distribution of the uniform electron gas: Improved parametrization and exact limits of the cumulant expansion

2002

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The momentum distribution of the unpolarized uniform electron gas in its Fermi-liquid regime, n(k, rs), with the momenta k measured in units of the Fermi wave number kF and with the density parameter rs, is constructed with the help of the convex Kulik function G(x). It is assumed that n(0, rs), n(1 ± , rs), the on-top pair density g(0, rs) and the kinetic energy t(rs) are known (respectively, from accurate calculations for rs = 1, ..., 5, from the solution of the Overhauser model, and from Quantum Monte Carlo calculations via the virial theorem). Information from the high-and the low-density limit, corresponding to the random-phase approximation and to the Wigner crystal limit, is used. The result is an accurate parametrization of n(k, rs), which fulfills most of the known exact constraints. It is in agreement with the effective-potential calculations of Takada and Yasuhara [Phys. Rev. B 44, 7879 (1991)], is compatible with Quantum Monte Carlo data, and is valid in the density range rs 12. The corresponding cumulant expansions of the pair density and of the static structure factor are discussed, and some exact limits are derived.

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“…This occurs, in particular, in the presence of a strong short-range NN force, as show, for instance, by the work of Mahaux and Sartor [29]. We are currently working in the direction of extending our approach to single-particle states with finite lifetimes and accounting for the modification of the Green's function due to correlations.…”

Section: Discussionmentioning

confidence: 99%

“…To clarify further the role of the strong short range repulsion (srr), namely where it is active, we refer again to past work on the hard sphere Fermi gas [29], i.e. a system of fermions interacting only via a strong srr.…”

Section: Discussionmentioning

confidence: 99%

Connecting scaling with short-range correlations

Berardo¹,

Bárbaro²,

Cenni³

et al. 2011

Phys. Rev. C

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We reexamine several issues related to the physics of scaling in electron scattering from nuclei.A basic model is presented in which an assumed form for the momentum distribution having both long-and short-range contributions is incorporated in the single-particle Green function. From this one can obtain saturation of nuclear matter for an NN interaction with medium-range attraction and short-range repulsion, and can obtain the density-density polarization propagator and hence the electromagnetic response and scaling function. For the latter, the shape of the scaling function and how it approaches scaling as a function of momentum transfer are both explored.

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Self-energy, momentum distribution, and effective masses of a dilute Fermi gas

Cited by 70 publications

References 30 publications

On the break in the single-particle energy dispersions and the ‘universal’ nodal Fermi velocity in the high-temperature copper oxide superconductors

On the break in the single-particle energy dispersions and the ‘universal’ nodal Fermi velocity in the high-temperature copper oxide superconductors

Momentum distribution of the uniform electron gas: Improved parametrization and exact limits of the cumulant expansion

Connecting scaling with short-range correlations

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