Modification of Born impurity scattering near the surface of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi></mml:math>-wave superconductors and influence of external magnetic field

Zare, A.; Markowsky, A.; Dahm, Thomas; Schopohl, N.

doi:10.1103/physrevb.78.104524

Cited by 13 publications

(6 citation statements)

References 31 publications

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“…These states split in the presence of a screening current [13][14][15] and they carry an anomalous counter-flowing paramagnetic surface current [13,16]. In previous work we have shown that the anomalous surface current leads to a strong modification of linear response properties [17,18]. Here, we study their influence on the nonlinear Meissner effect.…”

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confidence: 94%

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Strong Surface Contribution to the Nonlinear Meissner Effect ind-Wave Superconductors

2010

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We demonstrate that in a d-wave superconductor the bulk nonlinear Meissner effect is dominated by a surface effect due to Andreev bound states at low temperatures. The contribution of this surface effect to the nonlinear response coefficient follows a 1/T3 law with the opposite sign compared to the bulk 1/T behavior. The crossover from bulk dominated behavior to surface dominated behavior occurs at a temperature of T/Tc∼1/square root(κ). We present an approximate analytical calculation, which supports our numerical calculations and provides a qualitative understanding of the effect. The effect can be probed by intermodulation distortion experiments.

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“…The full set of equations and a description of the numerical solution procedure based on the Riccati technique [22] can be found in Ref. [19]. We consider a homogeneous superconducting halfspace in the region x !…”

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confidence: 99%

Strong Surface Contribution to the Nonlinear Meissner Effect ind-Wave Superconductors

2010

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“…Artificially introduced internal surfaces can be very rough in the experiment, whereas surfaces are specular in the theory. Actually, several theories have pointed out that the surface roughness affects properties of the surface Andreev bound states of a high-T c superconductor [20][21][22][23][24] .…”

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Effects of surface roughness on the paramagnetic response of small unconventional superconductors

Suzuki

Asano

2015

Phys. Rev. B

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We theoretically study the effects of surface roughness on the magnetic response of small unconventional superconductors by solving the Eilenberger equation for the quassiclassical Green function and the Maxwell equation for the vector potential simultaneously and self-consistently. The paramagnetic phase of spin-singlet d-wave superconducting disks is greatly suppressed by the surface roughness, whereas that of spin-triplet p-wave disks is robust even in the presence of the roughness. This difference derives from the orbital symmetry of paramagnetic odd-frequency Cooper pairs appearing at the surface of the disks. The orbital part of the paramagnetic pairing correlation has p-wave symmetry in the d-wave disks, whereas it has s-wave symmetry in the p-wave disks. Calculating the free energy, we also confirm that the paramagnetic state is more stable than the normal state, which indicates a possibility of detecting the paramagnetic effect in experiments. Indeed, our results are consistent with an experimental finding on high-T c thin films.

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“…In this paper, we have studied the transport property of the d + ip-wave junction in the ballistic limit by calculating the tunneling conductance. The induced p-wave pair, however, is more fragile against impurity scatterings than s-wave pairs 27,[62][63][64][65] . Thus, in the presence of disorder, the differential conductance of the d + ip-and d + is-wave junctions may be different.…”

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Tunnelling conductance of $d+ip$-wave superconductor

Takabatake,

Suzuki,

Tanaka

2020

Preprint

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We theoretically investigate the tunneling conductance of the d + ip-wave superconductor which is recently proposed to be realised at the (110) surface of a high-Tc cuprate superconductor. Utilizing the quasiclassical Eilenberger theory, we obtain the self-consistent pair potentials and the differential conductance of the normal-metal/d + ip-wave superconductor junction. We demonstrate that the zero-bias peak of a d-wave superconductor is robust against the spin-triplet p-wave surface subdominant order even though it is fragile against the spin-singlet s-wave one. Comparing our numerical results and the experimental results, we conclude the spin-triplet p-wave surface subdominant order is feasible.

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Modification of Born impurity scattering near the surface ofd-wave superconductors and influence of external magnetic field

Cited by 13 publications

References 31 publications

Strong Surface Contribution to the Nonlinear Meissner Effect ind-Wave Superconductors

Strong Surface Contribution to the Nonlinear Meissner Effect ind-Wave Superconductors

Effects of surface roughness on the paramagnetic response of small unconventional superconductors

Tunnelling conductance of $d+ip$-wave superconductor

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