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When a continuous symmetry of a physical system is spontaneously broken, two types of collective modes typically emerge: the amplitude and phase modes of the order-parameter fluctuation. For superconductors, the amplitude mode is recently…

Superconductivity · Physics 2020-03-19 Ryo Shimano , Naoto Tsuji

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

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

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

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 study optical responses of Leggett modes in multiband superconductors in the linear response regime. The Leggett mode is a collective mode unique to multiband superconductors that arises from relative phase fluctuations of…

Strongly Correlated Electrons · Physics 2022-04-12 Takumi Kamatani , Sota Kitamura , Naoto Tsuji , Ryo Shimano , Takahiro Morimoto

We study collective amplitude modes of the superconducting order parameter in strongly-coupled electron-phonon systems described by the Holstein model using the nonequilibrium dynamical mean-field theory with the self-consistent Migdal…

Superconductivity · Physics 2017-06-19 Yuta Murakami , Philipp Werner , Naoto Tsuji , Hideo Aoki

Higgs and Goldstone modes, well known in high energy physics, have been realized in a number of condensed matter physics contexts, including superconductivity and magnetism. The Goldstone-Higgs concept is also applicable to and gives rise…

We investigate a collective excitation (Leggett's mode) corresponding to small fluctuations of the relative phase of two condensates in two-band superconductor using the effective ``phase only'' action. We consider the possibility of…

Superconductivity · Physics 2009-11-07 S. G. Sharapov , V. P. Gusynin , H. Beck

We develop an effective field theory to understand collective modes of a three-dimensional two-component Fermi superfluid with dipolar inter-particle interactions, which are modeled by an idealized separable potential. We first examine the…

Quantum Gases · Physics 2019-03-06 Brendan C. Mulkerin , Xia-Ji Liu , Hui Hu

Using a two-orbital model of the superconducting phase of the pnictides, we compute the spectrum of the Leggett mode -- a collective excitation of the phase of the superconducting gap known to exist in multi-gap superconductors -- for…

Superconductivity · Physics 2011-07-13 F. J. Burnell , Jiangping Hu , Meera M. Parish , B. Andrei Bernevig

We investigate equilibrium states, magnetic response and the normal oscillations of internal degrees of freedom (Higgs modes and Goldstone modes) of three-band superconductors accounting the terms of both internal proximity effect and the…

Superconductivity · Physics 2023-05-29 K. V. Grigorishin

In high energy physics, the Higgs field couples to gauge bosons and fermions and gives mass to their elementary excitations. Experimentally, such couplings can be inferred from the decay product of the Higgs boson, i.e. the scalar…

One important way to characterize the states having a gauge symmetry spontaneously broken over multibands should be to look at their collective excitation modes. We find that a three-band system has multiple Leggett modes with significantly…

Superconductivity · Physics 2011-02-25 Yukihiro Ota , Masahiko Machida , Tomio Koyama , Hideo Aoki

Lifshitz invariant is a symmetry invariant composed of multiple order parameters that contain a single spatial derivative in a Ginzburg-Landau (GL) free energy, which may induce a nonuniform configuration of the order parameters. In…

Superconductivity · Physics 2025-07-11 Raigo Nagashima , Titouan Mouilleron , Naoto Tsuji

Recently, several groups have reported observations of collective modes of the charge order present in underdoped cuprates. Motivated by these experiments, we study theoretically the oscillations of the order parameters, both in the case of…

Superconductivity · Physics 2015-12-22 Zachary M. Raines , Valentin G. Stanev , Victor M. Galitski

We show that the amplitude, or Higgs mode of a superconductor with strong spin-orbit coupling and an exchange field, couples linearly to the electromagnetic field. Furthermore, by coupling such a superconductor to an LC resonator, we…

Superconductivity · Physics 2025-02-10 Yao Lu , Stefan Ilić , Risto Ojajärvi , Tero T. Heikkilä , F. Sebastian Bergeret

We study the Higgs amplitude mode in the s-wave superfluid state on the honeycomb lattice inspired by recent cold atom experiments. We consider the attractive Hubbard model and focus on the vicinity of a quantum phase transition between…

Quantum Gases · Physics 2013-08-09 Shunji Tsuchiya , R. Ganesh , Tetsuro Nikuni

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 investigate the eigen oscillations of internal degrees of freedom (Higgs mode and Goldstone mode) of two-band superconductors using the extended time-dependent Ginzburg-Landau theory, formulated in a work Grigorishin (2021) \cite{grig2},…

Superconductivity · Physics 2022-03-16 Konstantin V. Grigorishin
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