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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

We study a possible superconductivity in quasiperiodic systems, by portraying the issue within the attractive Hubbard model on a Penrose lattice. Applying a real-space dynamical mean-field theory to the model consisting of 4181 sites, we…

Superconductivity · Physics 2017-01-25 Shiro Sakai , Nayuta Takemori , Akihisa Koga , Ryotaro Arita

The mutual interaction between Cooper pairs is proposed as a mechanism for the superconducting state. Above $T_c$, pre-existing but fluctuating Cooper pairs give rise to the unconventional {\it pseudogap} (PG) state, well-characterized by…

Superconductivity · Physics 2015-09-30 William Sacks , Alain Mauger , Yves Noat

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

We study the interplay between quasi-periodic disorder and superconductivity in a 1D tight-binding model with the quasi-periodic modulation of on-site energies that follow the Fibonacci rule and all the eigenstates are multifractal. As a…

Superconductivity · Physics 2023-07-12 Meng Sun , Tilen Čadež , Igor Yurkevich , Alexei Andreanov

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

The superconducting order parameter is directly related to the pairing interaction, with the amplitude determined by the interaction strength, while the phase reflects the spatial structure of the interaction. However, given the large…

Superconductivity · Physics 2017-10-26 Shun Chi , W. N. Hardy , Ruixing Liang , P. Dosanjh , Peter Wahl , S. A. Burke , D. A. Bonn

A model is proposed such that quasi-particles (electrons or holes) residing in the CuO2 planes of cuprates may interact leading to metallic or superconducting behaviors. The metallic phase is obtained when the quasi-particles are treated as…

General Physics · Physics 2010-07-20 P. R. Silva

We numerically study the physical properties of quasiperiodic superconductors with the aim of understanding superconductivity in quasicrystals. Considering the attractive Hubbard model on the Penrose tiling as a simple theoretical model, we…

Superconductivity · Physics 2020-09-10 Nayuta Takemori , Ryotaro Arita , Shiro Sakai

In materials without an inversion center of symmetry the spin degeneracy of the conducting band is lifted by an antisymmetric spin orbit coupling (ASOC). Under such circumstances, spin and parity cannot be separately used to classify the…

Superconductivity · Physics 2016-08-31 P. A. Frigeri , D. F. Agterberg , I. Milat , M. Sigrist

Bulk superconductivity (SC) has recently been observed in the Al-Zn-Mg quasicrystal (QC). To settle several fundamental issues of the SC on the QC, we use an attractive Hubbard model to perform a systematic study on the Penrose lattice. The…

Superconductivity · Physics 2022-08-01 Yu-Bo Liu , Juan-Juan Hao , Yongyou Zhang , Ye Cao , Wei-Qiang Chen , Fan Yang

Quasiperiodic systems are an intermediate class of systems between periodic crystals and disordered systems, famously exhibiting metal-insulator transitions (MITs) even in one dimension. While their transport properties have been studied…

Disordered Systems and Neural Networks · Physics 2026-05-21 Raul Liquito , Miguel Gonçalves , Bruno Amorim , Eduardo V. Castro

Experiments have observed superconductivity in atomically-thin metallic layers deposited on semiconducting substrates. As in any superconductor, it is important to determine the structure of the superconducting pairing function in order to…

Superconductivity · Physics 2023-05-19 B. A. Levitan , J. Eid , T. Pereg-Barnea

The enigma of unconventional superconductivity in doped cuprates presents a formidable challenge in the realm of condensed matter physics. Recent findings of strong near-neighbor attractions in one-dimensional cuprate chains suggest a new…

Superconductivity · Physics 2024-01-17 Zhipeng Sun , Hai-Qing Lin

Although the microscopic origin of the superconductivity in high Tc copper oxides remains the subject of active inquiry, several of their electronic characteristics are well established as universal to all the known materials, forming the…

Superconductivity · Physics 2009-11-10 R. E. Schaak , T. Klimczuk , M. L. Foo , R. J. Cava

We propose a scenario for superconductivity at strong electron-electron attractive interaction, in the case when the increase of the interaction strength promotes the nucleation of the local Cooper pairs and forms a state with a spatially…

Superconductivity · Physics 2025-08-27 A. A. Zyuzin , A. Yu. Zyuzin

Unveiling the nature of the pseudogap and its relation to both superconductivity and antiferromagnetic Mott insulators, the pairing mechanism, and a non-Fermi liquid phase is a key issue for understanding high temperature superconductivity…

Superconductivity · Physics 2013-02-12 Takashi Uchino

At low temperature, the concentration of quasiparticles observed in superconducting circuits far exceeds the predictions of microscopic BCS theory at equilibrium. As a source of dissipation, these excess quasiparticles degrade the…

Superconductivity · Physics 2025-12-18 Romy Morin , Denis M. Basko , Manuel Houzet , Julia S. Meyer

Superconductivity in the cuprates exhibits many unusual features. We study the two-dimensional Hubbard model with plaquette dynamical mean-field theory to address these unusual features and relate them to other normal-state phenomena, such…

Strongly Correlated Electrons · Physics 2016-03-15 L. Fratino , P. Sémon , G. Sordi , A. -M. S. Tremblay

We report on the new non--linear optical signatures of quantum phase transitions in the high-temperature superconductor YBCO, observed through high harmonic generation. While the linear optical response of the material is largely unchanged…

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