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In topological systems, a modulation in the gap onset near interfaces can lead to the appearance of massive edge states, as were first described by Volkov and Pankratov. In this work, we study graphene nanoribbons in the presence of…

Mesoscale and Nanoscale Physics · Physics 2020-07-03 Tineke L. van den Berg , Alessandro De Martino , M. Reyes Calvo , Dario Bercioux

Andreev interferometry - the sensitivity of the tunneling current to spatial variations in the local superconducting order at an interface - is proposed as a probe of the spatial structure of the phase correlations in the pseudogap state of…

Superconductivity · Physics 2009-10-31 Daniel E. Sheehy , Paul M. Goldbart , Joerg Schmalian , Ali Yazdani

Localized interface states in abrupt semiconductor heterojunctions are studied within a tight-binding model. The intention is to provide a microscopic foundation for the results of similar studies which were based upon the two-band model…

Materials Science · Physics 2009-11-07 A. V. Kolesnikov , R. Lipperheide , U. Wille

Because the valleys in the band structure of graphene are related by time-reversal symmetry, electrons from one valley are reflected as holes from the other valley at the junction with a superconductor. We show how this Andreev reflection…

Mesoscale and Nanoscale Physics · Physics 2013-07-09 A. R. Akhmerov , C. W. J. Beenakker

Extensive efforts have been undertaken to combine superconductivity and the quantum Hall effect so that Cooper-pair transport between superconducting electrodes in Josephson junctions is mediated by one-dimensional edge states. This…

Recent experiments have shown that the edge states of a quantum Hall sample can be coupled to a superconductor, so that incoming electrons in the edge states can be Andreev converted by the superconductor as coherent superpositions of an…

Mesoscale and Nanoscale Physics · Physics 2025-08-06 Benjamin Roussel , Pablo Burset , Christian Flindt

We present a quantum analysis of the massless excitations in graphene with a charge impurity. When the effective charge exceeds a certain critical value, the spectrum is quantized and is unbounded from below. The corresponding eigenstates…

Mesoscale and Nanoscale Physics · Physics 2009-02-10 Kumar S. Gupta , Siddhartha Sen

The problem of Andreev reflection between a normal metal and a multiband superconductor is addressed. The appropriate matching conditions for the wave function at the interface are established on the basis of an extension of quantum…

Superconductivity · Physics 2009-05-29 M. A. N. Araujo , P. D. Sacramento

We present a theory of superconductivity in magic-angle twisted bilayer graphene and analyze the superconducting phase diagram in presence of the magnetic field. Namely, we consider a model of a granular array hosting localized states,…

Superconductivity · Physics 2023-03-21 SK Firoz Islam , A. Yu. Zyuzin , Alexander A. Zyuzin

We develop a theory of a pseudogap state appearing near the superconductor-insulator transition in strongly disordered metals with attractive interaction. We show that such an interaction combined with the fractal nature of the single…

Superconductivity · Physics 2007-05-23 Michael V. Feigel'man , Lev B. Ioffe , Emil A. Yuzbashyan

We present a simple model that we believe captures the key aspects of the competition between superconducting and insulating states in twisted bilayer graphene. Within this model, the superconducting phase is primary, and arises at generic…

Strongly Correlated Electrons · Physics 2019-09-16 Yang-Zhi Chou , Yu-Ping Lin , Sankar Das Sarma , Rahul M. Nandkishore

When an ionic liquid adsorbs onto a porous electrode, its ionic arrangement is deeply modified due to a screening of the Coulombic interactions by the metallic surface and by the confinement imposed upon it by the electrode's morphology. In…

We have observed that the supercurrent across phase-biased, highly transmitting atomic size contacts is strongly reduced within a broad phase interval around {\pi}. We attribute this effect to quasiparticle trapping in one of the discrete…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 M. Zgirski , L. Bretheau , Q. Le Masne , H. Pothier , D. Esteve , C. Urbina

We investigate the electron transport in smooth graphene pn junctions, generated by gradually varying electrostatic potentials. The numerically calculated coherent current flow patterns can be understood largely in terms of semi-classical…

Mesoscale and Nanoscale Physics · Physics 2021-01-13 Emmanuel Paredes-Rocha , Yonatan Betancur-Ocampo , Nikodem Szpak , Thomas Stegmann

We calculate the differential conductance at a probe inserted in the weak link of a topological Josephson junction, consisting of a semiconducting nanowire deposited on top of two separated superconductors. Our aim is to understand how the…

Mesoscale and Nanoscale Physics · Physics 2014-01-17 Stefano Valentini , Rosario Fazio , Fabio Taddei

We construct a theory for low-energy quantum transport in normal$\mid$superconductor junctions involving the recently discovered iron-based high-$T_c$ superconductors. We properly take into account both Andreev bound surface states and the…

Superconductivity · Physics 2009-11-13 Jacob Linder , Asle Sudbø

Valley-dependent topological physics offers a promising avenue for designing nanoscale devices based on gapless single-layer graphene. To demonstrate this potential, we investigate an electrical bias-controlled topological discontinuity in…

Mesoscale and Nanoscale Physics · Physics 2026-01-26 Zheng-Han Huang , Jing-Yuan Lai , Yu-Shu G. Wu

Andreev levels deplete energy states above the superconductive gap, which leads to the peculiar nonmonotonous crossover in the local density of states of mesoscopic superconductor/normal-metal/superconductor junctions. This effect is…

Superconductivity · Physics 2008-05-13 Alex Levchenko

The Josephson Effect and Superconducting Proximity Effect were observed in Superconductor -Graphene-Superconductor (SGS) Josephson junctions with coherence lengths comparable to the distance between the superconducting leads. By comparing…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Xu Du , Ivan Skachko , Eva Y. Andrei

We use a superconducting microresonator as a cavity to sense absorption of microwaves by a superconducting quantum point contact defined by surface gates over a proximitized two-dimensional electron gas. Renormalization of the cavity…