Landau Fermi‐Liquid Theory

Baym, Gordon; Pethick, C. J.

doi:10.1002/9783527617159

Cited by 624 publications

(637 citation statements)

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“…(22), a k , was calculated for a few pressure data, but the coefficient existing in s-p approximation of singlet and triplet QSA for many various pressure data can be calculated. For s-p approximation, it can be written [2,15,39] N(0)T t = A s 0 + A a 0 cos ϕ + A s 1 + A a 1 cos θ cos ϕ where A i = F i /(1 + (F i /(2 + 1))) in which F i are Landau parameters whose values are found in Refs. [2,43,44].…”

Section: Application Of Boltzmann Equationmentioning

confidence: 99%

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Application of Boltzmann Equation on Spin Diffusion of Ferromagnetic Superfluid 3He: Near Critical Temperature

Afzali

2012

J Stat Phys

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Different scattering processes of quasiparticles containing a binary process, a coalescence process and a decay process in transition probabilities are taken into account. In the meantime, interaction between Bogoliubov quasiparticles as well as that between normal and superfluid components (spin up-spin down quasiparticles) of ferromagnetic superfluid 3 He-A 1 are considered. Pfitzner procedure is used in the calculation of triplet and singlet quasiparticle scattering amplitude existing in transition probabilities of the collision integral of standard Boltzmann equation at melting pressure. Pfitzner procedure is extended beyond s-p approximation by adding higher angular momentum components. Then, using the results of Boltzmann equation and considering smallness of the gap close to T c↑ , the change of the spin diffusion coefficients tensor of the A 1 -phase of superfluid 3 He close to critical temperature and melting pressure is calculated. Temperature dependence of the spin diffusion coefficient change, i.e., δD xyxy /D = (3/2)(δD xzxz /D) , is −0.71(1 − (T /T c↑ )) 1/2 . It is also shown that interaction between normal and Bogoliubov quasiparticles (normalsuperfluid components interaction) is very important to transport properties such as spin diffusion close to critical temperature. Furthermore, using s-p approximation, the prefactor of δD xyxy /D is plotted in terms of pressure; hence, the pressure dependence of δD xyxy /D is also determined.

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Section: Application Of Boltzmann Equationmentioning

confidence: 99%

“…It should be noted the non-unitary state of the A 1 -phase holds the properties u(− p)↑↑ = u( p) ↑↑ andv(− p) ↑↑ = −v( p)↑↑ . In addition, the singlet and triplet amplitudes, T s and T t (whose properties are found in Refs [15,39]…”

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confidence: 99%

Application of Boltzmann Equation on Spin Diffusion of Ferromagnetic Superfluid 3He: Near Critical Temperature

Afzali

2012

J Stat Phys

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“…According to the Fermi liquid theory the interaction function on the Fermi surface has the form [2,4,9,10]:…”

Section: The Landau-fermi Liquid Interaction Function and Recurrence mentioning

confidence: 99%

“…The Landau-Fermi liquid theory is one of the powerful theories to describe weakly interacting Fermi systems at low temperature [2][3][4][5][6][7][8][9][10]. There are some restrictions on the theory needed for it to be valid.…”

Section: Introductionmentioning

confidence: 99%

Stability of the Landau–Fermi Liquid Theory

2011

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The stability of the Landau-Fermi liquid theory is investigated. It has been shown that if the interaction function of the Fermi system is a finite function of the angle between the momenta of two particles at the Fermi surface, then the liquid can be stable. We have shown that the absolute value of the expansion coefficients of the interaction functions in Legendre polynomials are decreasing function of the coefficients indices. We solve the stability condition for one photon exchange (OPE) in an electron gas. The results show that we must use the massive boson propagator (higher order corrections to the photon propagator). Similar to previous works (Abrikosov et al. in Method of Quantum Field Theory in Statistical Physics, Pergamon, Elmsford, 1965), our result is proportional to g 2 . The density and temperature dependence of results is occulted in the effective mass of the system.

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“…where Z p i are the residues of the single particle Green's functions at the pole of the QP, n p is the Fermi distribution function, U is some interaction, and n p 1 =U p 2 is related to the response function and can be obtained from the QP transport equation [5,6]. Restoring the spin indices, we denote the first term by d 0 pp 0 and the second term by I 0 pp 0 .…”

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confidence: 99%

Many body exchange effects close to the s-wave Feshbach resonance in two-component Fermi systems: is a triplet superfluid possible?

Gaudio¹,

Jackiewicz

Bedell

2007

Philosophical Magazine Letters

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We suggest that the exchange fluctuations close to a Feshbach resonance in a two-component Fermi gas can result in an effective p-wave attractive interaction. On the BCS side of a Feshbach resonance, the magnitude of this effective interaction is comparable to the s-wave interaction, therefore leading to a possible spin-triplet superfluid in the range of temperatures of actual experiments. We also show that the particle-hole exchange fluctuations introduce an effective scattering length which does not diverge, as the standard mean-field one does. Finally, using the effective interaction quantities we are able to model the molecular binding energy on the BEC side of the resonance.In the atomic Fermi gases such as 40 K and 6 Li, the use of Feshbach resonances has opened the possibility of exploring the very interesting limit for which the mean-field approximation predicts a smooth crossover from BEC to BCS pairing as one goes through the resonance. At low energies, the interatomic interaction is very well described by the s-wave scattering length, a s . Moreover, no direct interactions are possible in the triplet channel. In fact, higher-order expansions in the scattering length are suppressed at very low temperatures and the symmetry of the wave function, due to Pauli exclusion, does not allow s-wave scattering for fermionic atoms in the same spin channel.ô Although the scattering length in the two-body problem is diverging, it is instructive to consider the possibility of pairing in the higher-order scattering channels due to exchange fluctuations. It is also not clear whether atomic systems behave as Fermi liquids (FL), or how similar they are with high T c superconductors (HTSC) or any other strongly correlated systems.In this Letter, we want to show two things. Firstly, that it is possible to build a Fermi liquid theory (FLT) in the atomic Fermi gases, particularly in the *Corresponding author. Email: sergio.gaudio@roma1.infn.it ôFor the sake of clarity, throughout the paper, triplet pairing corresponds to pairing between particles in the same spin channel and s-wave to pairing in different spin channels.

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Landau Fermi‐Liquid Theory

Cited by 624 publications

References 0 publications

Application of Boltzmann Equation on Spin Diffusion of Ferromagnetic Superfluid 3He: Near Critical Temperature

Application of Boltzmann Equation on Spin Diffusion of Ferromagnetic Superfluid 3He: Near Critical Temperature

Stability of the Landau–Fermi Liquid Theory

Many body exchange effects close to the s-wave Feshbach resonance in two-component Fermi systems: is a triplet superfluid possible?

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