Impact of electron-electron interactions on the superfluid density of dirty superconductors

Khodel, V. A.; Clark, John W.; Zverev, M. V.

doi:10.1103/physrevb.99.184503

Cited by 12 publications

(14 citation statements)

References 56 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Therefore, the relativistic ansatz | ( , )| 2 in equation 6is a prerequisite for obtaining the parabolic scaling (11). This justifies the relativistic ansatz | ( , )| 2 in equation 6, as, by equation 1, the parabolic scaling (11) has been experimentally observed. Next, we further point out that (2) agrees with the experimental measure value.…”

Section: Relativistic Ginzburg-landau Equationmentioning

confidence: 62%

Relativistic Ginzburg–Landau equation: An investigation for overdoped cuprate films

Tao

2020

Physics Letters A

View full text Add to dashboard Cite

By introducing the imaginary time, Gor'kov's Ginzburg-Landau equation at zero temperature can be extended to an exact relativistic form without any phenomenological parameter, which is intended to describe the zero-temperature overdoped cuprate. By using such a relativistic equation, we have shown that the twoclass scaling observed in the overdoped side of single-crystal La 2− Sr CuO 4 (LSCO) films [Nature 536, 309-311 (2016)] can be derived exactly. In this paper, we further test the validity of the relativistic Ginzburg-Landau equation. By applying the perturbation method into this equation, we theoretically predict that near the superconductor-metal transition point in the overdoped side of LSCO films, the zerotemperature correlation length (0) and the transition temperature should yield a novel scaling (0) ∝ − with a critical exponent ≈ 1.31 (up to the two-loop approximation). Here, we propose a diffraction experiment between-rays and zerotemperature LSCO films to measure the critical exponent .

show abstract

Section: Relativistic Ginzburg-landau Equationmentioning

confidence: 62%

Relativistic Ginzburg–Landau equation: An investigation for overdoped cuprate films

Tao

2020

Physics Letters A

View full text Add to dashboard Cite

show abstract

“…(34) The FC contribution to the integral (34) is found to be insignificant at small FC density ρ F C because this contribution is proportional to ∆ 0 ρ F C . Thus, the result of our calculations [10], namely…”

mentioning

confidence: 73%

“…In the analysis of the properties of these metals pioneered by Abrikosov and Gor'kov(AG) [9], an additional dimensionless parameter γ/T c (x) comes into play, resulting in substantial suppression of ρ s0 as observed experimentally, with ρ s0 (x) coming to naught at a doping value x c , in tandem with the critical temperature T c (x). Although the effects of e − e interaction are ignored in AG theory, their involvement within the standard BCS-FL approach makes little difference [10]. These findings suggest that the replacement of FL quasiparticles by more realistic quasiparticles of finite lifetime is instrumental to elucidating the properties of superconducting alloys.…”

mentioning

confidence: 99%

“…Importantly, in evaluation of the currentcurrent correlator P s (0), the propagator [17] (which enters in the above proof of the LL-like theorem in superconducting systems). Otherwise, the renormalization is carried out along the same lines as in the foregoing proof of the equality between the quasiparticle and particle numbers to yield [10] ρ s0 (x)/ρ = I(x)/[1 + (α − 1)(1 − I(x))],…”

mentioning

confidence: 99%

See 1 more Smart Citation

Quasiparticle Pattern of Phenomena in Exotic Superconductors

Khodel,

Clark,

Zverev

2021

Preprint

Self Cite

View full text Add to dashboard Cite

The quasiparticle formalism invented by Lev Landau for description of conventional Fermi liquids is generalized to exotic superconductivity attributed to Cooper pairing, whose measured properties defy explanation within the standard BCS-Fermi Liquid description. We demonstrate that in such systems the quasiparticle number remains equal to particle number, just as in common Fermi liquids. We are then able to explain the puzzling relationship between the variation with doping x of two key properties of the family La2−xSrxCu04 of exotic superconductors, namely the T = 0 superfluid density ρs0(x) and the coefficient A1(x) in the linear-in-T component of the normal-state low-T resistivity ρ(T ) = ρ0 + A1T + A2T 2 , in terms of the presence of interaction-induced flat bands in the ground states of these metals.

show abstract

“…The derivation for equation (33) can be found in Appendix C. In particular, by using the latest experimental data [29], Khodel et al [28] have produced the correct theoretical value of . This is an evidence for supporting the linear scaling in equation (1)…”

Section: The Two-class Scalingmentioning

confidence: 99%

Parabolic Scaling in Overdoped Cuprate: a Statistical Field Theory Approach

Tao

2020

J Supercond Nov Magn

View full text Add to dashboard Cite

Recently, Bozovic et al. reported that [Nature 536, 309-311 (2016)], in the overdoped side of the single-crystal 2− 4 (LSCO) films, the transition temperature and zero-temperature superfluid phase stiffness (0) will obey a two-class scaling law: = • √ (0) for ≤ and ∝ (0) for ≥ , where = (4.2 ± 0.5) 1 2 ⁄ , ≈ 15 , and ≈ 12 . They further pointed out that the parabolic scaling observed in the highly overdoped side indicates a quantum phase transition from a superconductor to a normal metal. In this paper, we propose a quantum partition function (QPF) for zero-temperature Cooper pairs, by which one can effectively distinguish the mean-field and quantum critical behaviors. We theoretically show that the two-class scaling law can be exactly derived by using the QPF, and the theoretical values of , , and are well in accordance with experimental measure values. Our analyses indicate that the linear scaling ∝ (0) is a mean-field behavior, while the parabolic scaling = • √ (0) is a quantum critical behavior. [1]. Y. J. Uemura et al., Universal Correlations between and * ⁄ (Carrier Density over Effective Mass) in High-Cuprate Superconductors, Phys. Rev. Lett. 62, 2317 (1989)

show abstract

Impact of electron-electron interactions on the superfluid density of dirty superconductors

Cited by 12 publications

References 56 publications

Relativistic Ginzburg–Landau equation: An investigation for overdoped cuprate films

Relativistic Ginzburg–Landau equation: An investigation for overdoped cuprate films

Quasiparticle Pattern of Phenomena in Exotic Superconductors

Parabolic Scaling in Overdoped Cuprate: a Statistical Field Theory Approach

Contact Info

Product

Resources

About