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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 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

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

Recent discovery of the superconducting ground state in Quasicrystals (QCs) has opened up an exciting new avenue for superconductivity based on QCs. However, theoretical studies to date have largely focused on a limited subset of…

Superconductivity · Physics 2025-07-22 Sougata Biswas , Debika Debnath , Paramita Dutta

We theoretically study the effect of a magnetic field on quasicrystalline superconductors, by modelling them as the attractive Hubbard model on the Penrose-tiling structure. We find that at low temperatures and under a high magnetic field…

Superconductivity · Physics 2019-09-11 Shiro Sakai , Ryotaro Arita

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

Superconductivity and nontrivial topology are highly sought-after phenomena in quantum materials. While many topological crystalline materials have been found to exhibit superconductivity, their presence in quasicrystals - materials with a…

Departing from the assumption that pairing is induced by an retarded external 'bosonic glue', we reformulate the Bardeen-Cooper-Schrieffer theory of superconductivity as a scaling theory. Conventional superconductors correspond with the…

Superconductivity · Physics 2016-05-18 Jian-Huang She , Jan Zaanen

Despite intense efforts during the last 25 years, the physics of unconventional superconductors, including the cuprates with a very high transition temperature, is still a controversial subject. It is believed that superconductivity in many…

Strongly Correlated Electrons · Physics 2011-11-01 Jian-Huang She , Bas J. Overbosch , Ya-Wen Sun , Yan Liu , Koenraad Schalm , John A. Mydosh , Jan Zaanen

Our understanding of physical properties of quasicrystals owes a great deal to studies of tight-binding models constructed on quasiperiodic tilings. Among the large number of possible quasiperiodic structures, two dimensional tilings are of…

Strongly Correlated Electrons · Physics 2025-07-01 Anuradha Jagannathan , Michel Duneau

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 lack translational symmetry, but can still exhibit long-ranged order, promoting them to candidates for unconventional physics beyond the paradigm of crystals. Here, we apply a real-space functional renormalization group…

Strongly Correlated Electrons · Physics 2024-04-23 Jonas B. Profe , Carsten Honerkamp , Sebastian Achilles , Dante M. Kennes

We report the superconducting gap in the van der Waals layered quasicrystal Cu-doped Ta$_{1.6}$Te, using a fast relaxation technique that removes the large nuclear contribution of $^{181}$Ta. The initial-slope method enabled detection of…

Superconductivity · Physics 2025-12-22 N. Kabeya , Y. Tokumoto , K. Tomiyama , N. Kimura , K. Edagawa

We study the nonlinear transport properties of NS (normal-superconductor) and NSN structures by means of a self-consistent microscopic description. A nonzero superfluid velocity causes the various quasiparticle channels within S to open at…

Condensed Matter · Physics 2016-08-15 J. Sánchez Cañizares , F. Sols

Superconducting properties of metallic nanowires can be entirely different from those of bulk superconductors because of the dominating role played by thermal and quantum fluctuations of the order parameter. For superconducting wires with…

Superconductivity · Physics 2009-12-16 K. Yu. Arutyunov , D. S. Golubev , A. D. Zaikin

We theoretically investigate the gap function, superfluid density and the transition temperature of the superconductivity (SC) on semi-periodic Penrose lattice, where an attractive Hubbard model is adopted as an example. Firstly, we clarify…

Superconductivity · Physics 2024-09-26 Yu-Bo Liu , Zi-Yan Shao , Ye Cao , Fan Yang

In superconductors with relatively low superfluid density, such as cuprate high-$T_c$ superconductors, the phase fluctuations of the superconducting order parameter are remarkable, presumably playing a nonnegligible role in shaping many…

Strongly Correlated Electrons · Physics 2024-06-17 Zongsheng Zhou , Kang Wang , Hai-Jun Liao , Zi-Xiang Li , Tao Xiang

In this work, we investigate the thermoelectric properties of a hybrid junction realised coupling surface states of a three-dimensional topological insulator with a conventional $s$-wave superconductor. We focus on the ballistic devices and…

Superconductivity · Physics 2018-10-01 Dario Bercioux , Procolo Lucignano

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

Superfluid condensation can fundamentally be different from that predicted by the Bardeen-Cooper-Schrieffer (BCS) theory. In a broad class of low-carrier-density superconductors, such as granular aluminum, doped nitrides, and high-Tc…

Superconductivity · Physics 2024-09-27 L. Pisani , A. G. Moshe , P. Pieri , G. Calvanese Strinati , G. Deutscher
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