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Quasiperiodic potentials can be used to interpolate between localization and delocalization in one dimension. With the rise of optical platforms engineering dipolar interactions, a key question is the stability of quasicrystalline phases…

Quantum Gases · Physics 2025-08-19 Paolo Molignini

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

We consider a general problem of a Josephson contact between two multiband superconductors with coexisting superconducting and magnetic phases. As a particular example, we use the quasiclassical theory of superconductivity to study the…

Strongly Correlated Electrons · Physics 2020-01-01 Ammar A. Kirmani , Maxim Dzero , Alex Levchenko

We consider the behavior of quasiparticles in the superconducting state of high-T_c metals within the framework of the theory of superconducting state based on the fermion condensation quantum phase transition. We show that the behavior…

Strongly Correlated Electrons · Physics 2009-11-10 M. Ya. Amusia , V. R. Shaginyan

For a three dimensional system we answer two questions, how simple a particle system might be to show the quasicrystal order and, what system features are the most important for quasicrystal formation? One-component system of particles with…

Soft Condensed Matter · Physics 2015-08-27 R. E. Ryltsev , B. A. Klumov , N. M. Chtchelkatchev

A model for high-temperature superconductors incorporating antiferromagnetism, d-wave superconductivity, and no double lattice-site occupancy can give energy surfaces exquisitely balanced between antiferromagnetic and superconducting order…

Strongly Correlated Electrons · Physics 2008-11-03 Mike Guidry , Yang Sun , Cheng-Li Wu

In contrast to conventional s-wave superconductivity, unconventional (e.g. p or d-wave) superconductivity is strongly suppressed even by relatively weak disorder. Upon approaching the superconductor-metal transition, the order parameter…

Superconductivity · Physics 2015-01-27 A. Keles , A. V. Andreev , S. A. Kivelson , B. Z. Spivak

We investigate the effects of stealthy hyperuniform bond distributions on the electronic and magnetic properties of the Hubbard model on the honeycomb lattice. Hyperuniform structures, distinct from random and quasiperiodic ones, have…

Strongly Correlated Electrons · Physics 2026-04-22 Akihisa Koga , Takanori Sugimoto

We study superconductivity in Ammann-Beenker quasicrystals under magnetic field. By assuming an intrinsic $s$-wave pairing interaction and solving for mean-field equations self-consistently, we find gapless superconductivity in the…

Superconductivity · Physics 2025-07-03 Kazuma Saito , Masahiro Hori , Ryo Okugawa , K. Tanaka , Takami Tohyama

Three-dimensional higher-order topological semimetals in crystalline systems exhibit higher-order Fermi arcs on one-dimensional hinges, challenging the conventional bulk-boundary correspondence. However, the existence of higher-order Fermi…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 Rui Chen , Bin Zhou , Dong-Hui Xu

A model is introduced describing the interplay between superconductivity and spin-ordering. It is characterized by on-site repulsive electron-electron interactions, causing antiferromagnetism, and nearest-neighbor attractive interactions,…

Superconductivity · Physics 2009-10-31 C. N. A. van Duin , J. Zaanen

We develop a general framework to study hyperuniformity of various mathematical models of quasicrystals. Using this framework we provide examples of non-hyperuniform quasicrystals which unlike previous examples are not limit-quasiperiodic.…

Mathematical Physics · Physics 2022-10-06 Michael Björklund , Tobias Hartnick

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

Motivated by recent experimental findings, we investigate the possible occurrence and characteristics of quasicrystalline order in two-dimensional mixtures of point dipoles with two sorts of dipole moments. Despite the fact that the dipolar…

Other Condensed Matter · Physics 2009-11-10 Falk Scheffler , Philipp Maass , Johannes Roth , Holger Stark

In this paper, we propose a general mechanism for the existence of quasicrystals in spatially extended systems (partial differential equations with Euclidean symmetry). We argue that the existence of quasicrystals with higher order…

Pattern Formation and Solitons · Physics 2025-02-04 Ian Melbourne , Jens Rademacher , Bob Rink , Sergey Zelik

We study s-wave superconductivity in the two-dimensional square lattice attractive Hubbard Hamiltonian for various inhomogeneous patterns of interacting sites. Using the Bogoliubov-de Gennes (BdG) mean field approximation, we obtain the…

Superconductivity · Physics 2009-11-13 K. Aryanpour , T. Paiva , W. E. Pickett , R. T. Scalettar

Determining the types of superconducting order in quantum materials is a challenge, especially when multiple degrees of freedom, such as bands or orbitals, contribute to the fermiology and when superconductivity competes, intertwines, or…

An array of one-dimensional conductors coupled by transverse hopping and interaction is studied with the help of a variational wave function. This wave function is devised as to account for one-dimensional correlation effects. We show that…

Superconductivity · Physics 2010-11-11 A. V. Rozhkov

We study how the electron-electron interactions influence the charge distributions in the metallic state of quasicrystals. As a simple theoretical model, we introduce an extended Hubbard model on the Penrose lattice, and numerically solve…

Strongly Correlated Electrons · Physics 2022-10-06 Shiro Sakai , Ryotaro Arita , Tomi Ohtsuki

We study an electron distribution under a quasiperiodic potential in light of hyperuniformity, aiming to establish a classification and analysis method for aperiodic but orderly density distributions realized in, e.g., quasicrystals. Using…

Strongly Correlated Electrons · Physics 2022-10-06 Shiro Sakai , Ryotaro Arita , Tomi Ohtsuki