Numerical studies of the s-wave pseudogap state and related Tc: the “pairing approximation” theory

Maly, Jiri; Jankó, Boldizsár; Levin, K.

doi:10.1016/s0921-4534(99)00326-3

Cited by 69 publications

(106 citation statements)

References 80 publications

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“…More technical details are given in the Appendix. The T-matrix scheme adopted here was first developed in the context of high-T c cuprates [32][33][34][35]. It was later applied to study the BEC-BCS crossover phenomenon in ultracold atomic Fermi gases [36].…”

Section: Modelmentioning

confidence: 99%

“…Beyond-mean-field theoretical methods have been proposed [27][28][29][30][31]. Here we present a theoretical investigation under the framework of the T-matrix scheme to address the superfluid properties of a Rashba SO coupled Fermi gas over the entire BCS-BEC crossover regime [32][33][34][35][36][37][38][39][40][41][42][43][44][45]. In the absence of the Zeeman field, it was shown that the SO coupling enhances superfluid pairing [16,44,46,47].…”

Section: Introductionmentioning

confidence: 99%

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Thermodynamic properties of Rashba spin-orbit-coupled Fermi gas

Zheng

Zou

et al. 2014

Phys. Rev. A

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We investigate the thermodynamic properties of a superfluid Fermi gas subject to Rashba spinorbit coupling and effective Zeeman field. We adopt a T-matrix scheme that takes beyond-meanfield effects, which are important for strongly interacting systems, into account. We focus on the calculation of two important quantities: the superfluid transition temperature and the isothermal compressibility. Our calculation shows very distinct influences of the out-of-plane and the in-plane Zeeman fields on the Fermi gas. We also confirm that the in-plane Zeeman field induces a FuldeFerrell superfluid below the critical temperature and an exotic finite-momentum pseudo-gap phase above the critical temperature.

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Section: Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Thermodynamic properties of Rashba spin-orbit-coupled Fermi gas

Zheng

Zou

et al. 2014

Phys. Rev. A

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“…We now proceed to the more detailed analysis of the coefficient a ′′ 0 , slightly above and at all T below T c . Well above T c (but below T * ) more detailed numerical calculations are required 22,23 , and these demonstrate that a ′′ 0 increases with T as pseudogap effects diminish. At our leading order approximation as in Eq.…”

Section: B Tdgl Above and Below Tcmentioning

confidence: 99%

Pseudogap state in superconductors: Extended Hartree approach to time-dependent Ginzburg-Landau theory

et al. 2003

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It is well known that conventional pairing fluctuation theory at the Hartree level leads to a normal state pseudogap in the fermionic spectrum. This pseudogap arises from bosonic degrees of freedom which appear at T * , slightly above the superconducting transition temperature Tc. Our goal is to extend this Hartree approximated scheme to arrive at a generalized mean field theory of pseudogapped superconductors for all temperatures T . While an equivalent approach to the pseudogap has been derived elsewhere using a more formal Green's function decoupling scheme, in this paper we re-interpret this mean field theory and BCS theory as well, and demonstrate how they naturally relate to ideal Bose gas condensation. Here we recast the Hartree approximated Ginzburg-Landau self consistent equations in a T-matrix form, from which we infer that the condition that the pair propagator have zero chemical potential at all T ≤ Tc is equivalent to a statement that the fermionic excitation gap satisfies the usual BCS gap equation. This recasting makes it possible to consider arbitrarily strong attractive coupling, where bosonic degrees of freedom appear at T * considerably above Tc. The implications for transport both above and below Tc are discussed. Below Tc we find two types of contributions. Those associated with fermionic excitations have the usual BCS functional form. That they depend on the magnitude of the excitation gap, nevertheless, leads to rather atypical transport properties in the strong coupling limit, where this gap (as distinct from the order parameter) is virtually T -independent. In addition, there are bosonic terms arising from non-condensed pairs whose transport properties are shown here to be reasonably well described by an effective time-dependent Ginzburg-Landau theory.

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“…Importantly this preformed pair scheme is associated with the widely used 7,13,14 approximate self energy, which we derived even earlier within our microscopic formalism 15,16 Σ pg,K = −iγ + ∆ 2 pg,k…”

Section: Introductionmentioning

confidence: 70%

Theory of terahertz conductivity in the pseudogap phase of the cuprates: A preformed pair perspective

Wulin

Levin

2012

Phys. Rev. B

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In this paper we deduce transport properties in the presence of a pseudogap associated with precursor superconductivity. Our theoretical analysis is based on the widely adopted self energy expression reflecting this normal state gap, which has appeared in interpretations of photoemission and in other experiments. Thus, it should be generally applicable. Here we address THz conductivity σ(ω) = σ1(ω) + iσ2(ω) measurements in the underdoped high temperature superconductors and arrive at reasonable agreement between theory and recent experiment for both σ1 and σ2 above and below Tc.

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Numerical studies of the s-wave pseudogap state and related Tc: the “pairing approximation” theory

Cited by 69 publications

References 80 publications

Thermodynamic properties of Rashba spin-orbit-coupled Fermi gas

Thermodynamic properties of Rashba spin-orbit-coupled Fermi gas

Pseudogap state in superconductors: Extended Hartree approach to time-dependent Ginzburg-Landau theory

Theory of terahertz conductivity in the pseudogap phase of the cuprates: A preformed pair perspective

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