Conductivity in pseudogapped superconductors: A sum-rule-consistent preformed-pair scenario

Wulin, Dan; Fregoso, Benjamin M.; Guo, Hao; Chien, Chih-Chun; Levin, K.

doi:10.1103/physrevb.84.140509

Cited by 11 publications

(20 citation statements)

References 23 publications

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“…We restrict calculations to T > T c so as to avoid complications from collective modes in the presence of pseudogap effects. We can similarly address the quasi-particle interference pattern 13,14 of STM, as well as the complex conductivity and diamagnetic susceptibility, [15][16][17][18] all of which are given in the Supplementary Materials.…”

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confidence: 99%

Unified treatment of Fermi pockets and arcs scenarios for the cuprates: Sum-rule-consistent response functions of the pseudogap

Scherpelz

Rançon

et al. 2014

Phys. Rev. B

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Essential to understanding the cuprate pseudogap phase is a study of the charge (and spin) response functions, which we address here via a consistent approach to the Fermi arcs and the Fermi pockets scenario of Yang, Rice and Zhang (YRZ). The two schemes are demonstrated to be formally similar, and to share a common physics platform; we use this consolidation to address the inclusion of vertex corrections which have been omitted in YRZ applications. We show vertex corrections can be easily implemented in a fashion analytically consistent with sum rules and that they yield important contributions to most observables. A study of the charge ordering susceptibility of the YRZ scenario makes their simple physics evident: they represent the inclusion of charged bosonic, spin singlet degrees of freedom, and are found to lead to a double peak structure.The discovery of the high temperature superconductors has led to the development of extensions (as well as replacements) for BCS theory in which strong correlations or self energy effects are present simultaneously with the underlying pairing interactions which drive superconductivity. These self energy contributions are associated with the anomalous pseudogap behavior which sets in above T c and which may persist as well below the transition. A proper treatment of highly correlated normal and superconducting states introduces consistency constraints (vertex corrections, Ward identities and sum rules). This was central in the long history of BCS theory, where these constraints led to an understanding of new types of "particles" or excitations such as the Higgs boson and its related mechanism.In the high-T c cuprates, characterizing the spin and charge response has been essential for clarifying whether the pseudogap is associated with pairing or with an alternative ordering, although there is as yet no unanimity. 1,2A growing enthusiasm is emerging for one particular pairing-based approach to the pseudogap developed by Yang, Rice and Zhang (YRZ), 3 which suggests the possibility of charge ordering in the presence of pairing. 4Accompanying this interest has been a fairly universal neglect of vertex corrections 4,5 in the calculated response functions. This omission is not a formal technicality. At a minimum such corrections are essential in order to ensure that the normal phase is not associated with an unphysical Meissner effect.This leads to the goal of the present paper, which is to present a calculation of self consistent response functions for the YRZ theory of Fermi pockets 3 along with an alternative approach involving Fermi arcs. 2,6,7 We show here that these two approaches to the pseudogap are in fact closely related, sharing common physical features and allowing nearly identical calculations of vertex corrections. We also show that these vertex corrections are consistent with sum rule constraints. Finally, we demonstrate that introducing self consistency leads to (hitherto ignored 4,5 ) contributions to the spin and charge response, which are of sizable magnitude ...

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confidence: 99%

Unified treatment of Fermi pockets and arcs scenarios for the cuprates: Sum-rule-consistent response functions of the pseudogap

Scherpelz

Rançon

et al. 2014

Phys. Rev. B

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“…Similar fluctuation effects have been also reported for the thin samples of the strongly disordered s-wave superconductors * Electronic address: doman@kft.umcs.lublin.pl [18]. These physical processes have been studied within the diagrammatic approximation for the current-current response function, using the dressed single particle propagators [19][20][21], imposing the selfconsistent conserving scheme [22] or inventing other sophisticated methods for the vertex corrections [23,24].…”

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confidence: 66%

Fluctuation conductivity due to the preformed local pairs

Domański

Barańska

Solovjov

2016

Low Temperature Physics

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We investigated the properties of a system where the itinerant electrons coexist and interact with the preformed local pairs. Using the nonperturbative continuous unitary transformation technique we show that Andreev-type scattering between these charge carriers gives rise to the enhanced diamagnetic response and is accompanied by appearance of the Drude peak inside the pseudogap regime ω ≤ 2∆ pg . Both effects are caused by the short-range superconducting correlations above the transition temperature T c . In fact, the residual diamagnetism has been detected by the torque magnetometry in the lanthanum and bismuth cuprate superconductors at temperatures up to ~ 1.5T c . In this work we show how the superconducting correlations can be observed in the ac and dc conductivity.

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“…Moreover, an unphysical normal-state Meissner effect ensues, which implies a finite superfluid density above T c . This Comment is intended to emphasize the key role played by sum rules and other conservation constraints in transport and scattering theories of Fermi gases, as we have repeatedly stressed in our papers [3][4][5][6][7]. As pointed out in textbooks [8], it is difficult using approximate methods to obtain the same answer for the compressibility from the static correlation function and the thermodynamic derivative.…”

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confidence: 97%

“…We confine our attention in this Comment to the attractive interaction regime which was considered by us in earlier work [3][4][5][6][7] to address a systematic theory of spin and charge linear response above and below T c . Our work, not cited by the authors, was shown to be demonstrably consistent with a number of sum rules, reflecting gauge invariance.…”

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Comment on “Density and Spin Response of a Strongly Interacting Fermi Gas in the Attractive and Quasirepulsive Regime”

2012

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Conductivity in pseudogapped superconductors: A sum-rule-consistent preformed-pair scenario

Cited by 11 publications

References 23 publications

Unified treatment of Fermi pockets and arcs scenarios for the cuprates: Sum-rule-consistent response functions of the pseudogap

Unified treatment of Fermi pockets and arcs scenarios for the cuprates: Sum-rule-consistent response functions of the pseudogap

Fluctuation conductivity due to the preformed local pairs

Comment on “Density and Spin Response of a Strongly Interacting Fermi Gas in the Attractive and Quasirepulsive Regime”

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