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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

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

The robustness of the chiral surface current of chiral superconductors against surface roughness is studied utilizing the quasiclassical Eilenberger theory. We consider the general chiral superconductors where the pair potential is given by…

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

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

Bilayers made of high-$T_c$ cuprate superconductor Bi$_2$Sr$_2$CaCu$_2$O$_{8+x}$ assembled with a twist angle close to $45^\circ$ have been recently shown to spontaneously break time reversal symmetry $\mathcal{T}$, consistent with…

Superconductivity · Physics 2025-06-16 Vedangi Pathak , Oguzhan Can , Marcel Franz

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

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

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

Chiral superconductors are topological as characterized by a finite Chern number and chiral edge modes. Direct fingerprints of chiral superconductivity are thus often taken to be spontaneous edge currents with associated magnetic…

Superconductivity · Physics 2025-05-09 Patric Holmvall , Annica M. Black-Schaffer

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 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

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 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,…

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

The superconducting state of SRO is widely believed to have chiral p-wave order that breaks time reversal symmetry. Such a state is expected to have a spontaneous magnetization, both at sample edges and at domain walls between regions of…

Superconductivity · Physics 2009-09-30 Phillip E. C. Ashby , Catherine Kallin

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

In chiral $p$-wave superconductors, magnetic flux patterns may appear spontaneously when translational symmetry is broken such as at surfaces, domain walls, or impurities. However, in the candidate material Sr$_2$RuO$_4$ no direct signs of…

Superconductivity · Physics 2018-03-28 Sarah B. Etter , Adrien Bouhon , Manfred Sigrist

Surface properties are examined in a chiral d-wave superconductor with hexagonal symmetry, whose one-body Hamiltonian possesses the intrinsic spin-orbit coupling identical to the one characterizing the topological nature of the Kane-Mele…

Superconductivity · Physics 2017-10-11 Jun Goryo , Yoshiki Imai , W. B. Rui , Manfred Sigrist , Andreas P. Schnyder

Chiral superconductors are theorized to exhibit spontaneous edge currents. Here, we found magnetic fields at the edges of UTe$_2$, a candidate odd-parity chiral superconductor, that seem to agree with predictions for a chiral order…

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
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