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We compute the real-space profile of the superconducting order parameter (OP) in a hybrid ring that consists of a 1D superconductor connected to a Fibonacci chain using a self-consistent approach. In our study, the strength of the…

Superconductivity · Physics 2019-11-15 Gautam Rai , Stephan Haas , Anuradha Jagannathan

Superconductivity was recently reported in several quasicrystalline systems. These are materials which are structurally ordered, but since they are not translationally invariant, the usual BCS theory does not apply. At the present time, the…

Superconductivity · Physics 2024-03-13 Ying Wang , Gautam Rai , Chris Matsumura , Anuradha Jagannathan , Stephan Haas

Quasiperiodicity has recently been proposed to enhance superconductivity and its proximity effect. At the same time, there has been significant experimental progress in the fabrication of quasiperiodic structures, also in reduced…

Superconductivity · Physics 2024-09-27 Anna Sandberg , Oladunjoye A. Awoga , Annica M. Black-Schaffer , Patric Holmvall

The distinctive electronic properties of quasicrystals stem from their long range structural order, with invariance under rotations and under discrete scale change, but without translational invariance. d-dimensional quasicrystals can be…

Statistical Mechanics · Physics 2021-11-24 Anuradha Jagannathan

We study the superconducting proximity effect in inhomogeneous systems in which a disordered or quasicrystalline normal-state wire is connected to a BCS superconductor. We self-consistently compute the local superconducting order parameters…

Superconductivity · Physics 2020-11-04 Gautam Rai , Stephan Haas , Anuradha Jagannathan

Quasicrystals exhibit superconductivity under the unique interplay of long-range order and strong inhomogeneity, distinguishing them from both crystalline and amorphous systems. Understanding how this structural complexity affects…

Superconductivity · Physics 2025-03-25 Junmo Jeon , SungBin Lee

Hybrid superconductor-semiconductor systems have received a great deal of attention in the last few years because of their potential for quantum engineering, including novel qubits and topological devices. The proximity effect, the process…

Mesoscale and Nanoscale Physics · Physics 2025-06-24 D. Michel Pino , Rubén Seoane-Souto , Maria José Calderón , Ramón Aguado , José Carlos Abadillo-Uriel

Recently, the superconducting properties of Fibonacci quasicrystals have attracted considerable attention. By numerically solving the self-consistent Bogoliubov-de Gennes equations for an $s-$wave superconducting Fibonacci chain, we find…

Superconductivity · Physics 2025-10-09 Quanyong Zhu , Guo-Qiao Zha , A. A. Shanenko , Yajiang Chen

Superconductivity in graphene-based systems has recently attracted much attention, as either intrinsic behavior or induced by proximity to a superconductor may lead to interesting topological phases and symmetries of the pairing function. A…

Superconductivity · Physics 2022-04-13 Abdulrhman M. Alsharari , Sergio E. Ulloa

The Fibonacci chain, i.e., a tight-binding model where couplings and/or on-site potentials can take only two different values distributed according to the Fibonacci word, is a classical example of a one-dimensional quasicrystal. With its…

Strongly Correlated Electrons · Physics 2023-10-10 Anouar Moustaj , Malte Röntgen , Christian V. Morfonios , Peter Schmelcher , Cristiane Morais Smith

Interaction of bound states with a singular continuous spectrum is studied using a one dimensional Fibonacci quasicrystal as a prototype example. Single level quantum dots are attached from a side to a subset of atomic sites of the…

Disordered Systems and Neural Networks · Physics 2011-12-06 Arunava Chakrabarti , Samar Chattopadhyay

For the BCS theory of superconductivity, the electron-phonon interaction is transformed to an attractive electron-electron interaction in the vicinity of the Fermi energy only. At the same time, its formal derivation using a unitary…

Superconductivity · Physics 2026-03-25 Joshua Althüser , Ilya M. Eremin , Götz S. Uhrig

The proximity effect refers to the phenomenon whereby superconducting properties are induced in a normal conductor that is in contact with an intrinsically superconducting material. In particular, the combination of nano-structured…

Mesoscale and Nanoscale Physics · Physics 2014-05-16 A. G. Moghaddam , T. Kernreiter , M. Governale , U. Zuelicke

We study proximity effects at ferromagnet superconductor interfaces by self-consistent numerical solution of the Bogoliubov-de Gennes equations for the continuum, without any approximations. Our procedures allow us to study systems with…

Superconductivity · Physics 2009-11-07 Klaus Halterman , Oriol T. Valls

We study theoretically proximity-induced superconductivity and its inverse effect in dice lattice flat band model by considering Josephson junction with an s-wave pairing in the superconducting leads. Using self-consistent tight-binding…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 Somayeh Ahmadkhani , Mir Vahid Hosseini

We theoretically study the proximity effect and the inverse proximity effect in a topological insulator/iron-based superconductor heterostructure based on the microscopic model. The superconducting order parameter is self-consistently…

Superconductivity · Physics 2023-03-09 Qi-Guang Zhu , Tao Zhou

Motivated by a recent experimental observation of superconductivity in the Al-Zn-Mg quasicrystal, we study the low-temperature behavior of electrons moving in the quasiperiodic potential of the Ammann-Beenker tiling in the presence of a…

Superconductivity · Physics 2019-07-12 Ronaldo N. Araújo , Eric C. Andrade

We theoretically investigate the Josephson effect between two proximized Fibonacci quasicrystals. A quasiperiodic modulation of the chemical potential on a superconducting substrate induces topological gaps and edge modes with energies…

Superconductivity · Physics 2026-05-11 Ignacio Sardinero , Jorge Cayao , Keiji Yada , Yukio Tanaka , Pablo Burset

A theory of the proximity effect in normal metal - multiband superconductor hybrid structures is formulated within the quasiclassical Green's function formalism. It is shown that the existence of multiple superconducting bands manifests…

Superconductivity · Physics 2009-11-10 A. Brinkman , A. A. Golubov , M. Yu. Kupriyanov

We consider the proximity effect in multiterminal ferromagnet superconductor (FSF) hybrid structures in which two or three electrodes are connected to a superconductor. We show that two competing effects take place in these systems: (i)…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 H. Jirari , R. Mélin , N. Stefanakis
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