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Recent experiments with strong THz fields in both conventional and unconventional superconductors have clearly evidenced a marked third-harmonic generation below the superconducting temperature $T_c$. Its interpretation challenged…

Superconductivity · Physics 2021-01-27 G. Seibold , M. Udina , C. Castellani , L. Benfatto

Detection of the Higgs mode in superconductors using nonlinear terahertz spectroscopy is a key area of interest in condensed matter physics. We investigate the influence of disorder on the nonlinear terahertz response and the Higgs mode in…

Recently several works have focused on the intrinsic nonlinear current in passive microwave filters as a tool for identifying d-wave order parameter symmetry in the high Tc cuprates. Evidence has been found for d-wave pairing in YBCO and…

Superconductivity · Physics 2009-11-11 E. J. Nicol , J. P. Carbotte

Recent experiments with strong THz fields in unconventional cuprates superconductors have clearly evidenced an increase of the non-linear optical response below the superconducting critical temperature Tc. As in the case of conventional…

Superconductivity · Physics 2023-06-21 Mattia Udina , Jacopo Fiore , Tommaso Cea , Claudio Castellani , Goetz Seibold , Lara Benfatto

We study nonlinear optical responses in superconducting systems with inversion ($\mathcal{I}$) symmetry-breaking order parameters. We first show that any superconducting system with $\mathcal{I}$ and time-reversal ($\mathcal{T}$) symmetries…

Superconductivity · Physics 2019-12-11 Tianrui Xu , Takahiro Morimoto , Joel E. Moore

We develop a theory of the nonlinear optical responses in superconducting systems in the presence of a dc supercurrent. The optical transitions between particle-hole pair bands across the superconducting gap are allowed in clean…

Superconductivity · Physics 2023-12-29 Linghao Huang , Jing Wang

Despite several efforts the nonlinear Meissner effect in d-wave superconductors, as has been discussed by Yip and Sauls in 1992, has not been verified experimentally in high-Tc superconductors at present. Here, we reinvestigate the…

Superconductivity · Physics 2009-10-31 T. Dahm , D. J. Scalapino

A puzzling phenomenon has been recently revealed in terahertz nonlinear optical response experiments: A third harmonic generation (THG) signal, identified only in the superconducting (SC) phase in a conventional BCS superconductor, is found…

Strongly Correlated Electrons · Physics 2026-02-11 Xiang Li , Zheng-Yu Weng

Superconductivity in the cuprates is characterized by spatial inhomogeneity and an anisotropic electronic gap of d-wave symmetry. The aim of this work is to understand how this anisotropy affects the non-equilibrium electronic response of…

In multiband superconductors, multiple collective modes exist associated with the multiple order parameters. Oscillations of the amplitude and the relative phase of the order parameters are called Higgs and Leggett modes, respectively.…

Superconductivity · Physics 2019-06-19 Yuta Murotani , Ryo Shimano

This work investigates amplitude-dependent nonlinear corrections to the dissipative conductivity in superconductors, using the Keldysh--Usadel theory of nonequilibrium superconductivity, which captures the nonequilibrium dynamics of both…

Superconductivity · Physics 2025-12-25 Takayuki Kubo

We discuss intrinsic relaxation rates in superconductors, and how they may be measured using non-linear optical (terahertz) response. We consider both $s$ and $d$-wave superconductors, both with and without a phenomenological (energy…

Superconductivity · Physics 2026-03-27 Wei-En Tseng , Rahul Nandkishore

We implement the effects of disorder on a holographic p-wave superconductor by introducing a random chemical potential which defines the local energy of the charge carriers. Since there are various possibilities for the orientation of the…

High Energy Physics - Theory · Physics 2015-08-06 Daniel Arean , Arya Farahi , Leopoldo A. Pando Zayas , Ignacio Salazar Landea , Antonello Scardicchio

Nonlinear hopping absorption of ultrasound and electromagnetic waves in amorphous and doped semiconductors is considered. It is shown that even at low amplitudes of the electric (or acoustic) field the nonlinear corrections to the…

Condensed Matter · Physics 2009-10-31 M. Kirkengen , Y. M. Galperin

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

Recently developed terahertz (THz) two-dimensional coherent spectroscopy (2DCS) is a powerful technique to obtain materials information in a fashion qualitatively different from other spectroscopies. Here, we utilized THz 2DCS to…

Recently, a theoretical study [Li {\it et al.},~npj Quantum Materials 6, 36 (2021)] investigated a model of a disordered $d$-wave superconductor, and reported local time-reversal symmetry breaking current loops for sufficiently high…

Superconductivity · Physics 2022-01-05 Clara N. Breiø , P. J. Hirschfeld , Brian M. Andersen

We model s-wave and d-wave disordered granular superconductors with a three-dimensional lattice of randomly distributed Josephson junctions with finite self-inductance. The nonlinear ac resistivity of these systems was calculated using…

Superconductivity · Physics 2009-11-07 Mai Suan Li , Hoang Zung , Daniel Dominguez

We derive the polarizability of an electron system in (i) the superconducting phase, with d-wave symmetry, (ii) the pseudogap regime, within the precursor pairing scenario, and (iii) the d-density-wave (dDW) state, characterized by a d-wave…

Superconductivity · Physics 2007-05-23 N. Andrenacci , G. G. N. Angilella , H. Beck , R. Pucci

For decades, superconductivity in high-Tc cuprates has been viewed as a competitor that suppresses charge-density-wave (CDW) order by reducing its amplitude and spatial extent. Here, we show that this picture is incomplete, as…

Superconductivity · Physics 2026-05-13 H. Lee , C. -T. Kuo , M. Fujita , C. -C. Kao , J. -S. Lee
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