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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 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

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

A major challenge to the chiral $p$-wave hypothesis for the pairing symmetry of the unconventional superconductor Sr$_2$RuO$_4$ is the null result of sensitive scanning magnetometry experiments designed to detect the expected spontaneous…

Superconductivity · Physics 2014-11-05 Samuel Lederer , Wen Huang , Edward Taylor , Srinivas Raghu , Catherine Kallin

The edge currents of two dimensional topological chiral superconductors with nonzero Cooper pair angular momentum---e.g., chiral $p$-, $d$-, and $f$-wave superconductivity---are studied. Bogoliubov-de Gennes and Ginzburg--Landau…

Superconductivity · Physics 2014-12-23 Wen Huang , Edward Taylor , Catherine Kallin

The edges of time reversal symmetry breaking topological superconductors support chiral Majorana bound states as well as spontaneous charge currents. The Majorana modes are a robust, topological property, but the charge currents are…

Superconductivity · Physics 2015-03-18 Wen Huang , Samuel Lederer , Edward Taylor , Catherine Kallin

A boundary between two d-wave superconductors or an s-wave and a d-wave superconductor generally breaks time-reversal symmetry and can generate spontaneous currents due to proximity effect. On the other hand, surfaces and interfaces in…

Superconductivity · Physics 2009-10-31 M. H. S. Amin , A. N. Omelyanchouk , A. M. Zagoskin

Chiral superconductors spontaneously break time-reversal symmetry and host topologically protected edge modes, supposedly generating chiral edge currents which are typically taken as a characteristic fingerprint of chiral superconductivity.…

Superconductivity · Physics 2023-11-15 Patric Holmvall , Annica M. Black-Schaffer

In this work we present a comprehensive study of the spontaneous currents in time-reversal symmetry breaking (TRSB) multi-component superconductors with cubic crystalline symmetry. We argue, not limiting to cubic lattices, that spontaneous…

Superconductivity · Physics 2018-07-17 Jia-Long Zhang , Wen Huang , Dao-Xin Yao

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

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

Proximity effects between ferromagnets (F) and superconductors (S) with broken time-reversal symmetry (T) are studied theoretically. For the S side we consider a chiral (p_x \pm ip_y)-wave, and a d_{x^2-y^2}-wave superconductor, the latter…

Strongly Correlated Electrons · Physics 2009-11-07 Kazuhiro Kuboki , Hidenori Takahashi

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

Motivated by Sr$_2$RuO$_4$, edge quasiparticle states are analyzed based on the self-consistent solution of the Bogolyubov-de Gennes equations for a topological chiral $p$-wave superconductor. Using a tight-binding model of a square lattice…

Superconductivity · Physics 2015-01-07 Adrien Bouhon , Manfred Sigrist

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 report a theoretical study on the phase transition between superconducting states with and without spontaneous surface current. The phase transition takes place due to the formation of surface Andreev bound states in unconventional…

Superconductivity · Physics 2018-11-07 Nobumi Miyawaki , Seiji Higashitani

We study theoretically the proximity effect between ferromagnets (F) and superconductors (S) with broken time-reversal symmetry (${\cal T}$). A chiral $(p_x\pm ip_y)$-wave, and a $d_{x^2-y^2}$-wave superconductor, the latter of which can…

Superconductivity · Physics 2017-08-31 Kazuhiro Kuboki , Hidenori Takahashi

We discuss the rough surface effects on a two-dimensional chiral $k_x+ik_y$ superconductor. The atomic scale roughness at the surface is considered using the random $S$ matrix model. The roughness effects on the self-consistent order…

Superconductivity · Physics 2015-05-30 Y. Nagato , S. Higashitani , K. Nagai

We measured unusual critical currents as functions of temperature in the zero field and as functions of a magnetic field perpendicular to the substrate surface at a given temperature close to the critical temperature in thin-film long…

Superconductivity · Physics 2026-05-01 V. I. Kuznetsov , O. V. Trofimov

We analyze the presence of non-reciprocal critical currents, the so-called superconducting diode effect, in chiral superconductors within a generalized Ginzburg-Landau framework. After deriving its key symmetry conditions we illustrate the…

Superconductivity · Physics 2022-12-13 Bastian Zinkl , Keita Hamamoto , Manfred Sigrist
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