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We review recent progress in the explorations of topological quantum states of matter in iron-based superconductors. In particular, we focus on the nontrivial topology existing in the band structures and superconducting states of iron's 3d…

Mesoscale and Nanoscale Physics · Physics 2019-04-24 Ning Hao , Jiangping Hu

Andreev bound states are superpositions of electrons and holes in a metal that form by coherent reflection from a superconductor. When the length of the superconductor is comparable to the superconducting coherence length, Andreev bound…

Mesoscale and Nanoscale Physics · Physics 2025-08-19 Anders Enevold Dahl , Andrea Maiani , Max Geier , Javad Shabani , Karsten Flensberg

We examine different topological phases in three-dimensional non-centrosymmetric superconductors with time-reversal symmetry by using three different types of topological invariants. Due to the bulk boundary correspondence, a non-zero value…

Mesoscale and Nanoscale Physics · Physics 2011-09-16 Andreas P. Schnyder , Shinsei Ryu

Tunneling spectroscopy at surfaces of unconventional superconductors has proven an invaluable tool for obtaining information about the pairing symmetry. It is known that mid gap Andreev bound states manifest itself as a zero bias…

Superconductivity · Physics 2015-09-09 Matthias Eschrig , Christian Iniotakis , Yukio Tanaka

Materials with strong spin-orbit coupling have attracted attention following the prediction and subsequent discovery of strong two- and three-dimensional topological insulators in which a topological property of the bulk band structure of…

Andreev bound states at boundaries of d-wave superconductors are strongly influenced by the boundary geometry itself. In this work, the zero-energy spectral weight of the local quasiparticle density of states is presented for the case of…

Superconductivity · Physics 2007-09-05 C. Iniotakis

We demonstrate that phase-dependent heat currents through superconductor-topological insulator Josephson junctions provide a useful tool to probe the existence of topological Andreev bound states, even for multi-channel surface states. We…

Mesoscale and Nanoscale Physics · Physics 2016-08-17 Björn Sothmann , Ewelina M. Hankiewicz

Superconductors with nontrivial band structure topology represent a class of materials with unconventional and potentially useful properties. Recent years have seen much success in creating artificial hybrid structures exhibiting main…

THz and infrared spectroscopy is widely utilized to investigate the electrodynamic properties of the novel iron-based superconductors in the normal and superconducting states. Besides electronic excitations and correlations, electron-phonon…

Superconductivity · Physics 2012-11-06 Martin Dressel , Dan Wu , Neven Barisic , Boris Gorshunov

We study theoretically the topological surface states (TSSs) and the possible surface Andreev bound states (SABSs) of Cu$_{x}$Bi$_{2}$Se$_{3}$ which is known to be a topological insulator at $x=0$. The superconductivity (SC) pairing of this…

Superconductivity · Physics 2017-11-02 Lei Hao , C. S. Ting

We analyze the spatial and energy dependence of the local density of states in a SNS junction. We model our system as a one-dimensional tight-binding chain which we solve exactly by numerical diagonalization. We calculate the dependence of…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Cristina Bena

The electronic structure of Sb(110) is studied by angle-resolved photoemission spectroscopy and first-principle calculations, revealing several electronic surface states in the projected bulk band gaps around the Fermi energy. The…

We study the emergent band topology of subgap Andreev bound states in the three-terminal Josephson junctions. We scrutinize the symmetry constraints of the scattering matrix in the normal region connecting superconducting leads that enable…

Mesoscale and Nanoscale Physics · Physics 2017-11-01 Hong-Yi Xie , Maxim G. Vavilov , Alex Levchenko

We find that the vortex bound states in superconducting topological semimetals are gapless owing to topological massless excitations in their normal states. We demonstrate this universal result in a variety of semimetals including Dirac and…

Superconductivity · Physics 2023-03-28 Yi Zhang , Shengshan Qin , Kun Jiang , Jiangping Hu

Nodal noncentrosymmetric superconductors have topologically nontrivial properties manifested by protected zero-energy surface states. Specifically, it was recently found that zero-energy surface flat bands of topological origin appear at…

Superconductivity · Physics 2012-01-13 Andreas P. Schnyder , P. M. R. Brydon , Carsten Timm

We study Andreev bound states in a long shallow normal constriction, which is open to a superconductor at both ends. The interesting features of such setup include the absence of electron-hole symmetry and the interference of electron waves…

Superconductivity · Physics 2015-06-24 A. Lodder , Yu. V. Nazarov

We theoretically describe a thermoelectric effect that is entirely due to Andreev processes involving the formation of Cooper pairs through the coupling of electrons and holes. The Andreev thermoelectric effect can occur in ballistic…

Superconductivity · Physics 2021-01-25 Tony Savander , Shun Tamura , Christian Flindt , Yukio Tanaka , Pablo Burset

We analyze the spectral density of a single level quantum dot coupled to superconducting leads focusing on the Andreev states appearing within the superconducting gap. We use two complementary approaches: the numerical renormalization group…

Mesoscale and Nanoscale Physics · Physics 2012-09-19 A. Martín-Rodero , A. Levy Yeyati

We investigate the fate of topological states on fractal lattices. Focusing on a spinless chiral p-wave paired superconductor, we find that this model supports two qualitatively distinct phases when defined on a Sierpinski gasket. While the…

Mesoscale and Nanoscale Physics · Physics 2019-10-22 Shriya Pai , Abhinav Prem

Andreev reflection-where an electron in a normal metal backscatters off a superconductor into a hole-forms the basis of low energy transport through superconducting junctions. Andreev reflection in confined regions gives rise to discrete…