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The study of interaction between different degrees of freedom in solids is of fundamental importance to understand the functionalities of materials. One striking example of such interaction is the intertwined coupling or competition between…

We report on high-order harmonic generation in the two-band superconductor MgB$_2$ driven by intense terahertz electromagnetic pulses. Third- and fifth-order harmonics are resolved in time domain and investigated as a function of…

We theoretically investigate the resonance of third harmonic generation (THG) that has been observed at frequency being half of the superconducting gap in a multiband disordered superconductor NbN. The central question is whether the…

Superconductivity · Physics 2020-10-09 Naoto Tsuji , Yusuke Nomura

Higgs spectroscopy is a new field in which Higgs modes in nonequilibrium superconductors are analyzed to gain information about the ground state. One experimental setup in which the Higgs mode in s-wave superconductors was observed is…

Superconductivity · Physics 2020-05-26 Lukas Schwarz , Dirk Manske

We have investigated the terahertz (THz) nonlinear response of the multigap superconductor MgB$_2$, using THz two-dimensional coherent spectroscopy (THz 2DCS). With broadband THz drive fields, we identified a nonlinear response at twice the…

Superconductivity · Physics 2025-07-18 Kota Katsumi , Jiahao Liang , Ralph Romero , Ke Chen , Xiaoxing Xi , N. P. Armitage

We investigate the third-harmonic generation (THG) of s-wave superconductors under microwave pulse irradiation. We consider the effect of paramagnetic impurities on the THG intensity of dirty superconductors. The nonlinear response function…

Superconductivity · Physics 2018-01-08 Takanobu Jujo

A class of hydrogen-rich (H-rich) systems, consistent with Type II superconductivity, are known to have very high superconducting transition temperatures Tc and upper critical magnetic field Bc2 values (up to 288 K and 222 T respectively).…

Superconductivity · Physics 2022-02-10 Andrew L. Cornelius , Keith V. Lawler , Ashkan Salamat

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

Third-harmonic generation (THG) experiments on superconductors can be used to investigate collective excitations like the amplitude mode of the order parameter known as Higgs mode. These modes are visible due to resonances in the THG signal…

Superconductivity · Physics 2021-11-16 Lukas Schwarz , Rafael Haenel , Dirk Manske

Recent developments in nonequilibrium and nonlinear terahertz (THz) spectroscopies have significantly advanced our understanding of collective excitations in superconductors. However, there is still debate surrounding the identification of…

Superconductivity · Physics 2024-12-19 Jiayu Yuan , Liyu Shi , Tiequan Xu , Yue Wang , Zizhao Gan , Hao Wang , Tianyi Wu , Dong Wu , Tao Dong , Nanlin Wang

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…

Ultrafast optical control of quantum systems is an emerging field of physics. In particular, the possibility of light-driven superconductivity with ultrashort laser pulses has attracted much of attention. To identify non-equilibrium…

Multiband superconductors can host collective excitations with marked differences with respect to their single-band counterpart. We first study the spectrum of collective amplitude fluctuations in a clean two-bands superconductor, showing…

Superconductivity · Physics 2022-09-26 Jacopo Fiore , Mattia Udina , Marco Marciani , Goetz Seibold , Lara Benfatto

We study third-harmonic generation (THG) in an excitonic insulator (EI) described in a two-band correlated electron model. Employing the perturbative expansion with respect to the external electric field, we derive the THG susceptibility…

Strongly Correlated Electrons · Physics 2021-12-28 Tetsuhiro Tanabe , Tatsuya Kaneko , Yukinori Ohta

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

Recent advances in time-domain terahertz (THz) spectroscopy have unveiled that resonantly-enhanced strong THz third-harmonic generation (THG) mediated by the collective Higgs amplitude mode occurs in s-wave superconductors, where…

Superconductivity · Physics 2017-07-26 Ryusuke Matsunaga , Naoto Tsuji , Kazumasa Makise , Hirotaka Terai , Hideo Aoki , Ryo Shimano

We study the nonlinear optical response in a superconducting NbN thin film with strong terahertz (THz)wave. Besides the expected third harmonic generation, we observe a new transient oscillation which softensin frequency with temperature…

Superconductivity · Physics 2022-03-30 Z. X. Wang , J. R. Xue , H. K. Shi , X. Q. Jia , T. Lin , L. Y. Shi , T. Dong , F. Wang , N. L. Wang

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 discuss the microwave second-harmonic generation in high-density bulk MgB2, prepared by the reactive liquid Mg infiltration technology. The intensity of the harmonic signal has been investigated as a function of temperature and…

Superconductivity · Physics 2007-05-23 A. Agliolo Gallitto , G. Bonsignore , G. Giunchi , M. Li Vigni

Recent advancements in nonlinear nanophotonics are driven by the exploration of sharp resonances within high-index dielectric metasurfaces. In this work, we leverage doubly degenerate quasi-bound states in the continuum (quasi-BICs) to…

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