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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

We study nonlinear response of conventional superconducting alloys with weak magnetic impurities to an external alternating electromagnetic field. In particular, we calculate a correction to superconducting order parameter up to the second…

Superconductivity · Physics 2024-02-23 Yantao Li , Maxim Dzero

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

Higgs mode in superconductors, i.e. the collective amplitude mode of the order parameter does not associate with charge nor spin fluctuations, therefore it does not couple to the electromagnetic field in the linear response regime. On the…

Superconductivity · Physics 2019-07-02 Sachiko Nakamura , Yudai Iida , Yuta Murotani , Ryusuke Matsunaga , Hirotaka Terai , Ryo Shimano

In superconductors (SC), the Higgs amplitude mode is a coherent oscillation of the order parameter typically generated by THz laser irradiation. In this paper we propose to probe the Higgs mode using electronic transport in ballistic…

Mesoscale and Nanoscale Physics · Physics 2023-09-25 Pierre Vallet , Jérôme Cayssol

The diagrammatic formalism and transport equation are conventionally considered as separate but complementary techniques to tackle the impurity scattering effect. To compare with the previous studies from the gauge-invariant kinetic…

Superconductivity · Physics 2022-10-25 F. Yang , M. W. Wu

We theoretically investigate coherent optical excitations of collective modes in two-band BCS superconductors, which accommodate two Higgs modes and one Leggett mode corresponding, respectively, to the amplitude and relative-phase…

Superconductivity · Physics 2017-03-06 Yuta Murotani , Naoto Tsuji , Hideo Aoki

Using the non-equilibrium Keldysh formalism, we solve the equations of motion for electron-phonon superconductivity, including an ultrafast pump field. We present results for time-dependent photoemission spectra out of equilibrium which…

Superconductivity · Physics 2016-01-15 A. F. Kemper , M. A. Sentef , B. Moritz , J. K. Freericks , T. P. Devereaux

We consider excitation of Higgs modes via the modulation of the BCS coupling within the Migdal-Eliashberg-Keldysh theory of time-dependent superconductivity. Despite the presence of phonons, which break integrability, we observe Higgs…

Superconductivity · Physics 2025-01-15 Andrey Grankin , Victor Galitski , Vadim Oganesyan

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

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…

Recent studies have emphasized the importance of impurity scattering for the optical Higgs response of superconductors. In the dirty limit, an additional paramagnetic coupling of light to the superconducting condensate arises which…

Superconductivity · Physics 2021-10-13 Rafael Haenel , Paul Froese , Dirk Manske , Lukas Schwarz

We investigate theoretically the excitation of Higgs oscillations of the order parameter in superconductors by incoherent short pulses of light with frequency much larger than the superconducting gap. The excitation amplitude of the Higgs…

Superconductivity · Physics 2022-05-17 Matteo Bellitti , Chris R. Laumann , Boris Z. Spivak

The nonlinear optical response of an excitonic insulator coupled to lattice degrees of freedom is shown to depend in strong and characteristic ways on whether the insulating behavior originates primarily from electron-electron or…

Strongly Correlated Electrons · Physics 2021-01-04 Denis Golez , Zhiyuan Sun , Yuta Murakami , Antoine Georges , Andrew J. Millis

In superconductors the Anderson-Higgs mechanism allows for the existence of a collective amplitude (Higgs) mode which can couple to eV-light mainly in a non-linear Raman-like process. The experimental non-equilibrium results on isotropic…

Superconductivity · Physics 2021-11-05 M. Puviani , A. Baum , S. Ono , Y. Ando , R. Hackl , D. Manske

We consider the effect of nonmagnetic and magnetic impurities on the superheating field $H_s$ in a type-II superconductor. We solved the Eilenberger equations, which take into account the nonlinear pairbreaking of Meissner screening…

Superconductivity · Physics 2012-02-27 F. Pei-Jen Lin , A. Gurevich

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

The quest for new functionalities in quantum materials has recently been extended to non-equilibrium states, which are interesting both because they exhibit new physical phenomena and because of their potential for high-speed device…

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

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
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