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Odd-frequency Cooper pairs are gathering attention for the convenience of investigating the edge state of topological superconductors including Majorana fermions. Although a spinless p-wave superconductor has only one Majorana fermion in a…

Superconductivity · Physics 2022-06-08 Daijiro Takagi , Maria Teresa Mercaldo , Yukio Tanaka , Mario Cuoco

We consider the model of superconducting pairing with the energy gap function which is odd over $k-k_{F}$.\ In this case superconductivity is possible even in the presence of an arbitrarily large point-like repulsion between electrons,\…

Condensed Matter · Physics 2007-05-23 E. Z. Kuchinskii , M. V. Sadovskii , M. A. Erkabaev

In this article we review recent progress in the understanding of multiband superconductivity and its relationship to odd-frequency pairing. We begin our discussion by reviewing the emergence of odd-frequency pairing in a simple two-band…

Superconductivity · Physics 2020-03-18 Christopher Triola , Jorge Cayao , Annica M. Black-Schaffer

The Su-Schrieffer-Heeger model describes fermions that hop on a one-dimensional chain with staggered hopping amplitude, where the unit cell contains two sites, or two sublattices. In this work we consider the Su-Schrieffer-Heeger model with…

Mesoscale and Nanoscale Physics · Physics 2020-06-09 Shun Tamura , Sho Nakosai , Annica M. Black-Schaffer , Yukio Tanaka , Jorge Cayao

It was recently shown that odd-frequency superconducting pair amplitudes can be induced in conventional superconductors subjected to a spatially-nonuniform time-dependent drive. It has also been shown that, in the presence of interband…

Superconductivity · Physics 2017-07-04 Christopher Triola , Alexander V. Balatsky

Non-Abelian topological insulators are characterized by matrix-valued, non-commuting topological charges with regard to more than one energy gap. Their descriptions go beyond the conventional topological band theory, in which an additive…

Mesoscale and Nanoscale Physics · Physics 2025-11-11 Jiaxin Pan , Longwen Zhou

Odd-frequency pairing mechanism of superconductivity has been investigated for several decades. Nevertheless, its properties, including the thermodynamic stability, have remained unclear. In particular, it has been argued that the…

Superconductivity · Physics 2009-09-18 Dmitry Solenov , Ivar Martin , Dmitry Mozyrsky

We give a general overview of the high-frequency regime in periodically driven systems and identify three distinct classes of driving protocols in which the infinite-frequency Floquet Hamiltonian is not equal to the time-averaged…

Quantum Gases · Physics 2015-08-20 Marin Bukov , Luca D'Alessio , Anatoli Polkovnikov

Our aim in this paper is twofold. Firstly, we develop a new asymptotic theory for Floquet exponents. We consider a linear system of differential equations with a time-periodic coefficient matrix. Assuming that the coefficient matrix depends…

Analysis of PDEs · Mathematics 2021-10-18 Habib Ammari , Erik Orvehed Hiltunen , Thea Kosche

Floquet engineering is a powerful technique using periodic potentials, typically laser light, to drive materials into regimes inaccessible in equilibrium. Here, we show that Kondo models can be driven to multi-channel degenerate points,…

Strongly Correlated Electrons · Physics 2023-10-23 Victor L. Quito , Rebecca Flint

We show that mixed-parity superconductors may exhibit equal-spin pair correlations that are odd-in-time and can be tuned by means of an applied field. The direction and the amplitude of the pair correlator in the spin space turn out to be…

Superconductivity · Physics 2011-09-23 Paola Gentile , Canio Noce , Alfonso Romano , Gaetano Annunziata , Jacob Linder , Mario Cuoco

The recently predicted unconventional magnets offer a new ground for exploring the formation of nontrivial spin states due to their inherent nonrelativistic momentum-dependent spin splitting. In this work, we consider unconventional magnets…

Mesoscale and Nanoscale Physics · Physics 2026-02-26 Pei-Hao Fu , Sayan Mondal , Jun-Feng Liu , Jorge Cayao

Time-periodic driving facilitates a wealth of novel quantum states and quantum engineering. The interplay of Floquet states and strong interactions is particularly intriguing, which we study using time-periodic fields in a one-dimensional…

Quantum Gases · Physics 2021-07-27 S. Fazzini , P. Chudzinski , C. Dauer , I. Schneider , S. Eggert

Intense time-periodic laser fields can transform the electronic structure of a solid into strongly modified Floquet-Bloch bands. While this suggests multiple pathways to induce electronic orders such as superconductivity or charge density…

Strongly Correlated Electrons · Physics 2019-01-14 Nagamalleswararao Dasari , Martin Eckstein

We consider a finite-size topological Josephson junction formed at the edge of a two-dimensional topological insulator in proximity to conventional superconductors and study the impact of Cooper pair symmetries on the electron transport. We…

Superconductivity · Physics 2022-09-13 Jorge Cayao , Paramita Dutta , Pablo Burset , Annica M. Black-Schaffer

"Floquet engineering" - designing band structures "on-demand" through the application of coherent time-periodic drives - has recently emerged as a powerful tool for creating new topological and anomalous phases of matter. In this…

Strongly Correlated Electrons · Physics 2021-09-16 Iliya Esin , Gaurav Kumar Gupta , Erez Berg , Mark S. Rudner , Netanel H. Lindner

Floquet engineering offers an unparalleled platform for realizing novel non-equilibrium topological phases. However, the unique structure of Floquet systems, which includes multiple quasienergy gaps, poses a significant challenge to…

Quantum Physics · Physics 2026-01-07 Chen-Yang Wang , Jing-Ping Xu , Ce Wang , Ya-Ping Yang

We consider a Floquet triple-layer setup composed of a two-dimensional electron gas with spin-orbit interactions, proximity coupled to an s-wave superconductor and to a ferromagnet driven at resonance. The ferromagnetic layer generates a…

Mesoscale and Nanoscale Physics · Physics 2019-11-06 Kirill Plekhanov , Manisha Thakurathi , Daniel Loss , Jelena Klinovaja

We present an algorithm for a time-delayed feedback control design to stabilize periodic orbits with an odd number of positive Floquet exponents in autonomous systems. Due to the so-called odd number theorem such orbits have been considered…

Chaotic Dynamics · Physics 2013-08-09 Kestutis Pyragas , Viktor Novicenko

Using the renormalization group method, new type of fluctuation-driven first order phase transitions and critical phenomena are predicted for certain classes of ferromagnetic superconductors and superfluids with unconventional…

Superconductivity · Physics 2008-08-08 Dimo I. Uzunov