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In a recent Letter, Dornheim et al. [PRL 125, 085001 (2020)] have investigated the nonlinear density response of the uniform electron gas in the warm dense matter regime. More specifically, they have studied the cubic response function at…

The interplay of strong disorder and superconductivity is a topic of long-term interest in condensed matter physics. Here we explore the nonlinear THz response of superconducting NbN films close to the 3D metal-insulator transition. For the…

Non-magnetic impurities are known as strong pair breakers in superconductors with pure d-wave pairing symmetry. Here we discuss d-wave states under the combined influence of impurities and competing instabilities, such as pairing in a…

Superconductivity · Physics 2009-11-10 Serge Florens , Matthias Vojta

Observing the ``Higgs" or amplitude mode in superconductors has been a central challenge in condensed matter physics. Moreover, arriving at a theoretical understanding of this mode and how it is accessible in, say, conductivity experiments…

Superconductivity · Physics 2025-04-29 Ke Wang , Rufus Boyack , K. Levin

The nonlinear magneto-optical response of $s$- and $d$-wave superconductors is discussed. We carry out the symmetry analysis of the nonlinear magneto-optical susceptibility in the superconducting state. Due to the surface sensitivity of the…

Condensed Matter · Physics 2009-10-28 J. Schmalian , W. Hübner

We examine charge correlations and instabilities in the pseudogap phase of high-$T_c$ cuprates modeled by $d$-density wave ordering. The latter has a gap symmetry similar to the one observed in the $d$-wave superconductor. We use $t$-$J$…

Strongly Correlated Electrons · Physics 2023-10-17 Dheeraj Kumar Singh , Yunkyu Bang

We investigated the terahertz (THz)-pulse driven nonlinear response in the d-wave cuprate superconductor Bi2Sr2CaCu2O8+x (Bi2212) using a THz pump near-infrared probe scheme in the time domain. We have observed an oscillatory behavior of…

Metals interacting via short-range antiferromagnetic fluctuations are unstable to sign-changing superconductivity at low temperatures. For the cuprates, this leading instability leads to the well known $d-$wave superconducting state.…

Strongly Correlated Electrons · Physics 2014-10-27 Debanjan Chowdhury , Subir Sachdev

We discuss how reactive and dissipative non-linearities affect the intrinsic response of superconducting thin-film resonators. We explain how most, if not all, of the complex phenomena commonly seen can be described by a model in which the…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 Christopher N Thomas , Stafford Withington , Zhenyuan Sun , Tess Skyrme , David J. Goldie

We report terahertz (THz) second harmonic generation (SHG) in superconductors (SC) with inversion symmetric equilibrium states that forbid even-order nonlinearities. Such SHG signal is observed in single-pulse emission by periodic driving…

We study the contribution of the Higgs amplitude mode on the nonlinear optical response of superconductors beyond the BCS approximation by taking into account the retardation effect in the phonon-mediated attractive interaction. To evaluate…

Superconductivity · Physics 2017-01-02 Naoto Tsuji , Yuta Murakami , Hideo Aoki

We have studied a variety of different disordered materials, including molecular and ionic liquids, supercooled liquids and glasses, ionic conductors, and doped semiconductors, in ac electromagnetic fields over an exceptional broad dynamic…

Condensed Matter · Physics 2009-11-10 P. Lunkenheimer , A. Loidl

Motivated by the recent experimental progress in studying conventional and unconventional superconductors in a pump-probe setup, we perform a comprehensive theoretical analysis of the nonlinear response of a diffusive BCS conventional…

Superconductivity · Physics 2024-01-18 Pascal Derendorf , Anatoly F. Volkov , Ilya M. Eremin

The family of 2D layered semiconductors, including transition metal chalcogenides (TMCs) of the form MX (M=Ga, In; X=S, Se, Te) exhibit exceptional nonlinear optical properties. The energetically most favorable crystal ordering for…

Materials Science · Physics 2024-10-10 Dmitry Skachkov , Dirk R. Englund , Michael N. Leuenberger

We study suppression of superconductivity by disorder in d-wave superconductors, and predict the existence of (at least) two sequential low temperature transitions as a function of increasing disorder: a d -wave to -wave, and then an s-wave…

Superconductivity · Physics 2009-11-13 B. Spivak , P. Oreto , S. A. Kivelson

In superconductors with unconventional pairing mechanisms, the energy gap in the excitation spectrum often has nodes, which allow quasiparticle excitations at low energies. In many cases, e.g. $d$-wave cuprate superconductors, the position…

In a superconductor the third-harmonic generation (THG) of a strong THz pulse is enhanced below Tc by the resonant excitation of lattice-modulated charge fluctuations (LCF), which modulate the response according to the polarization of the…

Superconductivity · Physics 2018-04-04 T. Cea , P. Barone , C. Castellani , L. Benfatto

We theoretically investigate circular dichroism (CD) in second- and third-harmonic generation (SHG and THG) in the chiral topological semimetal CoSi. We demonstrate that both SHG and THG exhibit dichroic responses of order unity, while…

Strongly Correlated Electrons · Physics 2026-04-07 Yuya Ominato , Masahito Mochizuki

We study the influence of the band structure on the symmetry and superconducting transition temperature in the (solvable) weak-coupling limit of the repulsive Hubbard model. Among other results we find: 1) As a function of increasing…

Superconductivity · Physics 2015-11-11 Weejee Cho , Ronny Thomale , Srinivas Raghu , Steven A. Kivelson

In this paper the phase diagram of high $T_{c}$ cuprates is {\it qualitatively} studied in the context of competing orders: antiferromagnetism, d-wave superconductivity and $d$-density wave. {\it Local} correlation functions are estimated…

Strongly Correlated Electrons · Physics 2007-05-23 Bumsoo Kyung , A. M. -S. Tremblay