Temperature dependence of the order parameter of cuprate superconductors

Mihlin, Alexander; Auerbach, Assa

doi:10.1103/physrevb.80.134521

Cited by 21 publications

(20 citation statements)

References 68 publications

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“…Such a regime can result from the suppression of the kinetic process mentioned above or the large potential energy associated with the antiferromagnetic correlation [37][38][39][40][41] and/or the formation of bipolarons [42]. (As argued above, the details of the pairing mechanism are actually not essential for the low-energy physics of the superconducting gap in this limit.)…”

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confidence: 99%

Kinetics-Driven Superconducting Gap in Underdoped Cuprate Superconductors Within the Strong-Coupling Limit

Yildirim

2011

Phys. Rev. X

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A generic theory of the quasiparticle superconducting gap in underdoped cuprates is derived in the strong-coupling limit, and found to describe the experimental ''second gap'' in absolute scale. In drastic contrast to the standard pairing gap associated with Bogoliubov quasiparticle excitations, the quasiparticle gap is shown to originate from anomalous kinetic (scattering) processes, with a size unrelated to the pairing strength. Consequently, the k dependence of the gap deviates significantly from the pure d x 2 Ày 2 wave of the order parameter. Our study reveals a new paradigm for the nature of the superconducting gap, and is expected to reconcile numerous apparent contradictions among existing experiments and point toward a more coherent understanding of high-temperature superconductivity. The recent exciting discovery of the superconducting gap in the underdoped cuprates by angle-resolved photoemission spectroscopy (ARPES) [1][2][3][4][5][6][7][8][9][10][11][12] and scanning tunneling microscopy [13][14][15][16][17][18][19] reveals critical clues for the puzzling high-temperature superconductivity, which has proven to be one of the most important yet challenging problems of condensed matter physics for more than two decades. Indeed, unlike the larger pseudogap, the superconducting gap closes exactly at the transition temperature T c [12], and shows strong correlation to the doping dependence of T c [3,4,[20][21][22]]. Yet, some experiments found intriguing indications that the k dependence of the superconducting gap might not follow the well-established pure d wave of the order parameter [12,20]. Obviously, a deeper understanding of the properties of the superconducting gap seen in the quasiparticle excitation spectra holds an essential key to a resolution to the long-standing problem of hightemperature superconductivity in underdoped cuprates.Despite the intensive experimental studies, to date there have been limited attempts [20,[23][24][25][26][27]] to understand the superconducting gap, which greatly contrasts with the numerous efforts made to address the pseudogap phenomenon [28][29][30][31]. Furthermore, the existing understanding for the superconducting gap remains within the scope of the weakcoupling BCS framework, which was shown to be insufficient [32] in the underdoped regime to account for the essential phase fluctuation of the order parameter. As a result, most of the key questions remain open, including those regarding the energy scale that controls the size of the superconducting gap, the nature of the sharp quasiparticle at the edge of the superconducting gap, and the precise k dependence of the superconducting gap, among others.Here we address the above key questions regarding the superconducting gap by deriving rigorously a generic description in the strong-coupling limit, in which the realspace pairs of holes are assumed to be tightly bound in nearest neighboring sites. With a rigorous separation of the Hilbert space into bosonic and fermionic portions that describe the bound pairs and un...

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confidence: 99%

Kinetics-Driven Superconducting Gap in Underdoped Cuprate Superconductors Within the Strong-Coupling Limit

Yildirim

2011

Phys. Rev. X

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“…We hope that the self-energy (10) originally proposed for reproducing the ARPES spectra of the underdoped cuprates [16] and considered in various self-consistent treatments [15] could be derived in a systematic way, using nonpertubative tools like, for instance, the contractor method [33] or the flow equation procedure [23]. Our study indicates that Eq.…”

Section: Discussionmentioning

confidence: 90%

Spectroscopic Bogoliubov features near the unitary limit

Domański

2011

Phys. Rev. A

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We analyze the single particle excitation spectrum of the ultracold fermion atom system close to the unitary limit where there has been found experimental evidence for the Bogoliubov quasiparticles below as well as above the transition temperature Tc. We consider the short-range correlations originating from the preformed pairs and try to reproduce the experimental data adapting phenomenological selfenergy previously used for description of the anti-nodal spectra of the underdoped cuprate superconductors. We show that it fairly fits the lineshapes obtained by the momentum resolved RF spectroscopy for {40}^K atoms.Comment: 4 pages + epsilo

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“…In the low energy limit (i.e., for |ω| ≪ ∆) the dominant contribution comes from the in-gap quasiparticle whose residue is Z ≡ 1 + ∆ 2 /(πΓ 2 ) −1 , whereas at higher energies the BCS-type quasiparticles are recovered. This selfenergy (3.10) can be derived from the microscopic considerations [42] within the two-component model, describing itinerant fermions coupled to the hard-core bosons [43][44][45][46][47][48][49][50]. The other (closely relative) phenomenological ansatz [31,32]…”

Section: The Effect Of the Non-condensed Pairsmentioning

confidence: 99%

“…The same type of scattering, although in the momentum space, has been considered in reference [22,23] within the lowest order diagrammatic treatment. On a microscopic footing, the Hamiltonian (4.1) can be regarded as the effective low energy description of the plaquettized Hubbard model [47,48]. Neglecting the itinerancy of the charge carriers, we can obtain a rigorous solution for a given local cluster (not to be confused with the individual copper sites in CuO 2 planes [50]).…”

Section: Microscopic Toy Modelmentioning

confidence: 99%

Quasiparticle states driven by a scattering on the preformed electron pairs

Domański¹

2016

Condens. Matter Phys.

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We analyze evolution of the single particle excitation spectrum of the underdoped cuprate superconductors near the anti-nodal region, considering temperatures below and and above the phase transition. We inspect the phenomenological self-energy that reproduces the angle-resolved-photoemission-spectroscopy (ARPES) data and we show that above the critical temperature, such procedure implies a transfer of the spectral weight from the Bogoliubov-type quasiparticles towards the in-gap damped states. We also discuss some possible microscopic arguments explaining this process.

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Temperature dependence of the order parameter of cuprate superconductors

Cited by 21 publications

References 68 publications

Kinetics-Driven Superconducting Gap in Underdoped Cuprate Superconductors Within the Strong-Coupling Limit

Kinetics-Driven Superconducting Gap in Underdoped Cuprate Superconductors Within the Strong-Coupling Limit

Spectroscopic Bogoliubov features near the unitary limit

Quasiparticle states driven by a scattering on the preformed electron pairs

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