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The fragility of the chiral surface current of ($d_{zx}+id_{yz}$)-wave superconductor, a potential candidate for Sr$_2$RuO$_4$, against surface roughness is demonstrated utilizing the quasiclassical Eilenberger theory. Comparing the chiral…

Superconductivity · Physics 2023-10-05 Shu-Ichiro Suzuki , Satoshi Ikegaya , Alexander A. Golubov

We study theoretically the spontaneous edge current in a small chiral superconductor with surface roughness. We obtained self-consistent solutions of the pair potential and the vector potential by solving the quasiclassical Eilenberger…

Superconductivity · Physics 2016-10-12 Shu-Ichiro Suzuki , Yasuhiro Asano

We develop a self-consistent approach for calculating the local impedance at a rough surface of a chiral $p$-wave superconductor. Using the quasiclassical Eilenberger-Larkin-Ovchinnikov formalism, we numerically find the pair potential,…

A general approach is formulated to describe spontaneous surface current distribution in a chiral p-wave superconductor. We use the quasiclassical Eilenberger formalism in the Ricatti parametrization to describe various types of the…

Superconductivity · Physics 2017-04-04 S. V. Bakurskiy , N. V. Klenov , I. I. Soloviev , M. Yu. Kupriyanov , A. A. Golubov

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-$T_c$ cuprate superconductor. Utilizing the quasiclassical Eilenberger theory,…

Superconductivity · Physics 2021-06-02 Yuhi Takabatake , Shu-Ichiro Suzuki , Yukio Tanaka

We present the results of theoretical study of surface state properties in a two-dimensional model for triplet $p$-wave superconductors. We derive boundary conditions for Eilenberger equations at rough interfaces and develop the approach…

Superconductivity · Physics 2015-06-22 S. V. Bakurskiy , A. A. Golubov , M. Yu. Kupriyanov , K. Yada , Y. Tanaka

We study the spontaneous chiral surface current circulating in a three-dimensional disk of a chiral superconductor (SC) utilizing the quasiclassical Eilenberger theory. We obtain spatial profiles of the chiral current for both a ($d_{zx} +…

Superconductivity · Physics 2024-07-01 Shu-Ichiro Suzuki , Alexander A. Golubov , Matthias Eschrig

We investigate the properties of spontaneous currents generated at surfaces and interfaces of d-wave superconductors using the self-consistent quasiclassical Eilenberger equations. The influence of the roughness and reflectivity of the…

Superconductivity · Physics 2009-11-07 M. H. S. Amin , A. N. Omelyanchouk , S. N. Rashkeev , M. Coury , A. M. Zagoskin

A current flowing through a superconductor induces a spatial modulation in its superconducting order parameter, characterized by a wavevector $Q$ related to the total momentum of a Cooper pair. Here we investigate this phenomenon in a…

Mesoscale and Nanoscale Physics · Physics 2024-07-16 Fabian G. Medina Cuy , Francesco Buccheri , Fabrizio Dolcini

We investigate the robustness against disorder of superconductivity in multiband systems where the fermions have four internal degrees of freedom. This permits unconventional $s$-wave pairing states, which may transform nontrivially under…

Superconductivity · Physics 2020-02-24 D. C. Cavanagh , P. M. R. Brydon

Theoretical model of a rough surface in a d-wave superconductor is studied for the general case of arbitrary strength of electron scattering by an impurity layer covering the surface. Boundary conditions for quasiclassical Eilenberger…

Superconductivity · Physics 2009-10-31 A. A. Golubov , M. Yu. Kupriyanov

We theoretically study 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…

Superconductivity · Physics 2015-06-19 Shu-Ichiro Suzuki , Yasuhiro Asano

The effects of finite temperature, Meissner screening and surface roughness on the spontaneous edge current for higher chirality quasi-two dimensional superconductors are studied in the continuum limit using the quasiclassical Eilenberger…

Superconductivity · Physics 2018-09-05 Xin Wang , Zhiqiang Wang , Catherine Kallin

On the basis of Eilenberger theory, surface bound states and spontaneous current are studied in cyclic d-wave superconductors as a broken time-reversal symmetry of superconductivity in cubic lattice symmetry. We discuss how the spontaneous…

Superconductivity · Physics 2013-04-30 Masaki Ishikawa , Yasumasa Tsutsumi , Masanori Ichioka , Kazushige Machida

We theoretically demonstrate that the vortex supercurrent can be reversed by odd-frequency Cooper pairs accompanied by surface Andreev bound states. The surface of a three-dimensional superconductor pierced by a flux quantum is considered.…

Superconductivity · Physics 2023-01-13 Soma Yoshida , Shu-Ichiro Suzuki , Yukio Tanaka

The pair-potential and current density around a single vortex of the two-dimensional chiral p-wave superconductor with ${\mib d}={\mib z}(p_x \pm \iu p_y)$ are determined self-consistently within the quasiclassical theory of…

Superconductivity · Physics 2009-11-07 Yusuke Kato , Nobuhiko Hayashi

We study a d-wave superconductor with dominant $d_{x^2-y^2}$-wave order parameter and subdominant pairing in either the $s$- or the $d_{xy}$-wave channel near a surface. In particular we analyze the influence of surface roughness on the…

Superconductivity · Physics 2007-05-23 T. Lueck

In a quasi-two-dimensional $ p $-wave superconductor there find six Cooper pairing states which are degenerate within the weak-coupling approach. We show that this degeneracy can be lifted by feedback effect favoring the so-called chiral $…

Superconductivity · Physics 2007-05-23 J. Goryo , M. Sigrist

In the weak coupling BCS-approximation normal impurities do not influence superconducting T_{c} in significant manner in case of isotropic s-wave pairing. However, in case of d-wave pairing these are strongly pair-breaking. This fact is in…

Superconductivity · Physics 2016-08-31 M. V. Sadovskii , A. I. Posazhennikova

It has been predicted that emergent chiral magnetic fields can be generated by crystal deformation in Weyl/Dirac metals and superconductors. The emergent fields give rise to chiral anomaly phenomena as in the case of Weyl semimetals with…

Superconductivity · Physics 2018-04-27 Taiki Matsushita , Tianyu Liu , Takeshi Mizushima , Satoshi Fujimoto
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