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We study surface zero-energy flat bands in three-dimensional chiral superconductors with $p_z (p_x +ip_y)^{\nu}$-wave pairing symmetry ($\nu$ is a nonzero integer), based on topological numbers and tunneling conductance. It is shown that…

Superconductivity · Physics 2015-12-31 Shingo Kobayashi , Yukio Tanaka , Masatoshi Sato

The nontrivial topology of the electronic structure of iron pnictides can lead to the appearance of surface states. We study such states in various strip geometries with a focus on the superconducting phase. In the presence of…

Strongly Correlated Electrons · Physics 2014-08-06 Alexander Lau , Carsten Timm

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

The electronic states near a surface or a domain wall in the p_x \pm i p_y -wave superconductor are studied. This state has been recently suggested as the superconducting state of Sr_2 Ru O_4. The p_x \pm i p_y-wave paring state breaks the…

Superconductivity · Physics 2009-10-31 Masashige Matsumoto , Manfred Sigrist

We present an {\it exact} quantum theory for the bound states in the vicinity of an edge or a line of impurities in a $d_{x^2-y^2}$ superconductor. For a (110)-surface we show that a finite dispersion of the one dimensional band of bound…

Superconductivity · Physics 2007-05-23 Dirk K. Morr , Eugene Demler

We demonstrate when p-wave pairing occurs between species whose free Fermi surfaces are mismatched the gap generally vanishes over a two-dimensional surface. We present detailed calculations of condensation energy, superfluid density…

Superconductivity · Physics 2007-05-23 E. Gubankova , E. Mishchenko , F. Wilczek

We theoretically study surface superconductivity in a nodal-line semimetal by combining a minimal tight-binding model with a layer-resolved Bogoliubov-de Gennes approach. In the normal state, the model realizes a bulk nodal loop and an…

Superconductivity · Physics 2026-03-23 Takeru Matsushima , Hiroki Tsuchiura

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 derive ground state wave functions of superconducting instabilities on the honeycomb lattice induced by nearest-neighbor attractive interactions. They reflect the Dirac nature of electrons in the low-energy limit. For the order parameter…

Superconductivity · Physics 2011-02-15 M. V. Milovanović

We study vortices in p-wave superconductors in a Ginzburg-Landau setting. The state of the superconductor is described by a pair of complex wave functions, and the p-wave symmetric energy functional couples these in both the kinetic…

Analysis of PDEs · Mathematics 2014-11-18 Stan Alama , Lia Bronsard , Xavier Lamy

The study of topological classes and their associated edge states has been of ongoing interest. In one dimension, the standard platform of these studies has been the conventional Kitaev wire and its realizations. In this work, we study the…

Mesoscale and Nanoscale Physics · Physics 2020-03-26 Sayonee Ray , Subroto Mukerjee , Nayana Shah

Topological insulators and superconductors support extended surface states protected against the otherwise localizing effects of static disorder. Specifically, in the Wigner-Dyson insulators belonging to the symmetry classes A, AI, and AII,…

Mesoscale and Nanoscale Physics · Physics 2024-04-01 Alexander Altland , Piet W. Brouwer , Johannes Dieplinger , Matthew S. Foster , Mateo Moreno-Gonzalez , Luka Trifunovic

Recently a novel surface pair-density-wave (PDW) superconducting state has been discovered in Refs. [Phys. Rev. Lett. \textbf{122}, 165302 (2019)] and Phys. Rev. B \textbf{101}, 054506 (2020)], which may go through a distinct multiple phase…

Superconductivity · Physics 2023-07-25 Liangyuan Chen , Yajiang Chen , Zhang Wenhui , Zhou Shuhua

A phenomenological theory of tunneling spectroscopy for Fe-pnictide superconductors is developed by taking into consideration of asymmetric interface scattering between particle and holes. It is shown that in consistent with anti-phase…

Superconductivity · Physics 2013-08-13 C. S. Liu , J. Y. Chang , W. C. Wu , Chung-Yu Mou

With a generic lattice model for electrons occupying a semi-infinite crystal with a hard surface, we study the eigenstates of the system with a bulk band gap (or the gap with nodal points). The exact solution to the wave functions of…

Strongly Correlated Electrons · Physics 2018-11-14 Xin-Zhong Yan , C. S. Ting

We revisit the effect of surface roughness on midgap Andreev edge states (MAES) in p- and d- wave superconductors. For a perfectly specular surface, MAES form a flat band at the Fermi energy, which manifests as a sharp midgap peak in the…

Superconductivity · Physics 2026-05-05 Gota Sato , Yasushi Nagato , Seiji Higashitani

Topological superfluid $^3$He, with unconventional spin-triplet p-wave pairing, provides a model system for topological superconductors, which have attracted significant interest through potential applications in topologically protected…

Superconductivity · Physics 2021-05-11 P. J. Heikkinen , A. Casey , L. V. Levitin , X. Rojas , A. Vorontsov , P. Sharma , N. Zhelev , J. M. Parpia , J. Saunders

In recent years, there has been a renewed interest in the proximity effect due to its role in the realization of topological superconductivity. Here, we study a superconductor--normal metal proximity system with repulsive electron-electron…

Mesoscale and Nanoscale Physics · Physics 2014-07-15 Christopher R. Reeg , Dmitrii L. Maslov

Impurity-induced quasiparticle bound states on a pair-breaking surface of a d-wave superconductor are theoretically described, taking into account hybridization of impurity- and surface-induced Andreev states. Further a theory for effects…

Superconductivity · Physics 2009-11-10 M. S. Kalenkov , M. Fogelstrom , Yu. S. Barash

Motivated by Sr2RuO4 the magnetic properties of edge states in a two-band spin-triplet superconductor with electron- and hole-like Fermi surfaces are investigated assuming chiral p-wave pairing symmetry. The two bands correspond to the…

Strongly Correlated Electrons · Physics 2012-06-01 Yoshiki Imai , Katsunori Wakabayashi , Manfred Sigrist