Disorder and superfluid density in overdoped cuprate superconductors

Lee-Hone, N. R.; Dodge, J. Steven; Broun, D. M.

doi:10.1103/physrevb.96.024501

Cited by 81 publications

(81 citation statements)

References 64 publications

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“…Expressions for the penetration depth or superfluid density of a d-wave superconductor in the presence of disorder have been given in many places, and were specifically reviewed in Ref. 7. We assume, as in most of these works, that nonmagnetic scatterers are pointlike so that impurity vertex corrections to the current-current correlation function vanish.…”

Section: B Superfluid Densitymentioning

confidence: 99%

“…Here we work with a tight-binding model appropriate for overdoped La 2−x Sr x CuO 4 , 9 which was shown in Ref. 7 to be crucial to understanding the T dependence of the superfluid density.…”

Section: B Superfluid Densitymentioning

confidence: 99%

“…2 and reached rather different conclusions. 7 They pointed out that if the Sr dopants were treated as weak (Born limit) scatterers, the lack of a T 2 term in the penetration depth down to the lowest measurement temperatures of Božović et al could easily be understood. It has been known for many years that in this limit the quasiparticle states near the d-wave nodes are broadened by disorder, and that this broadening occurs significantly over an energy range that is exponentially small in Γ N /∆ 0 , where Γ N is the normal state disorder scattering rate and ∆ 0 the d-wave gap maximum.…”

Section: Introductionmentioning

confidence: 99%

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Optical conductivity of overdoped cuprate superconductors: Application to La2−xSrxCuO4

et al. 2018

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We argue that recent measurements on both the superfluid density and the optical conductivity of high-quality La2−xSrxCuO4 films can be understood almost entirely within the theory of disordered BCS d-wave superconductors. The large scattering rates deduced from experiments are shown to arise predominantly from weak scatterers, probably the Sr dopants out of the CuO2 plane, and correspond to significant suppression of Tc relative to a pure reference state with the same doping. Our results confirm the "conventional" viewpoint that the overdoped side of the cuprate phase diagram can be viewed as approaching the BCS weak-coupling description of the superconducting state, with significant many-body renormalization of the plasma frequency. They suggest that, while some of the decrease in Tc with overdoping may be due to weakening of the pairing, disorder plays an essential role. arXiv:1802.10198v2 [cond-mat.supr-con]

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Section: B Superfluid Densitymentioning

confidence: 99%

Section: B Superfluid Densitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Optical conductivity of overdoped cuprate superconductors: Application to La2−xSrxCuO4

et al. 2018

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“…64 and 65 if we assume that the in-plane superfluid stiffness measured in these experiments behaves in the same way as ρ zz calculated here. It has however been argued theoretically that the behavior of the superfluid stiffness on the overdoped side is consistent with BCS dirty d-wave behavior 66,67 .…”

Section: B Hole-doped Cupratesmentioning

confidence: 88%

Superfluid stiffness in cuprates: Effect of Mott transition and phase competition

et al. 2019

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Superfluid stiffness ρs is a defining characteristic of the superconducting state, allowing phase coherence and supercurrent. It is accessible experimentally through the penetration depth. Coexistence of d-wave superconductivity with other phases in underdoped cuprates, such as antiferromagnetism (AF) or charge-density waves (CDW), may drastically alter ρs. To shed light on this physics, the zero-temperature value of ρs = ρzz along the c-axis was computed for different values of Hubbard interaction U and different sets of tight-binding parameters describing the high-temperature superconductors YBCO and NCCO. We used Cellular Dynamical Mean-Field Theory for the one-band Hubbard model with exact diagonalization as impurity solver and state-of-the-art bath parametrization. We conclude that Mott physics plays a dominant role in determining the superfluid stiffness on the hole-doped side of the phase diagram. On the electron-doped side, antiferromagnetism wins over superconductivity near half-filling. But upon approaching optimal electron-doping, homogeneous coexistence between superconductivity and antiferromagnetism causes the superfluid stiffness to drop sharply. Hence, on the electron-doped side, it is competition between antiferromagnetism and d-wave superconductivity that plays a dominant role in determining the value of ρzz near half-filling. At large overdoping, ρzz behaves in a more BCS-like manner in both the electron-and hole-doped cases. We comment on some qualitative implications of these results for the superconducting transition temperature.

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“…Later, some phenomenological theories [9][10] were proposed to explain two-class scaling equation (1). For example, the dirty d-wave BCS theory [9], a mean-field model, was proposed, which leads to smooth two-class scaling, eliminating the kink over the interval [ , ]. Although all of these phenomenological theories [9][10] Recently, Tao proposed a quantum critical model [11][12] to show that two-class scaling equation (1) is due to two different physical mechanisms [12]: linear scaling is a mean-field behavior of the dirty-limit BCS theory, while parabolic scaling is a quantum critical behavior.…”

Section: Introductionmentioning

confidence: 99%

Parabolic Scaling in Overdoped Cuprate Films

Tao

2019

J Supercond Nov Magn

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It was recently reported that, in the highly overdoped side of single-crystal 2− 4 films, the transition temperature and zero-temperature superfluid phase stiffness (0) will obey a parabolic scaling = • √ (0). Parabolic scaling indicates a quantum phase transition from a superconductor to a normal metal, for which there has been scant understanding [Nature 536, 309-311 (2016)]. The current study shows that, using the quantum critical model for zero-temperature Cooper pairs [EPL 118, 57007 (2017)], parabolic scaling can be exactly derived, where = ( , ) is uniquely determined by the Fermi energy and the minimal lattice constant of superconducting materials. For single-crystal 2− 4 films, we calculate the theoretical value of , which yields 4.29 • 1 2 ⁄ and is in accordance with an experimental measure value (4.2 ± 0.5) • 1 2 ⁄ with high accuracy. Our formula for can be further tested by investigating other BCS-like materials.

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Disorder and superfluid density in overdoped cuprate superconductors

Cited by 81 publications

References 64 publications

Optical conductivity of overdoped cuprate superconductors: Application to La2−xSrxCuO4

Optical conductivity of overdoped cuprate superconductors: Application to La2−xSrxCuO4

Superfluid stiffness in cuprates: Effect of Mott transition and phase competition

Parabolic Scaling in Overdoped Cuprate Films

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