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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

The Higgs mode in superconductors corresponds to oscillations of the amplitude of the order parameter. While its detection typically entails resonant optical excitation, we present a purely transport-based setup wherein it is excited in a…

Superconductivity · Physics 2025-10-14 Aritra Lahiri , Sang-Jun Choi , Björn Trauzettel

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

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

By applying a microscopic gauge-invariant kinetic theory in $d$-wave superconductors, we analytically derive the energy spectra of the breathing Higgs mode and, in particular, rotating Higgs mode that is unique for the $d$-wave order…

Superconductivity · Physics 2020-07-27 F. Yang , M. W. Wu

Higgs modes emerge in superconductors as collective excitations of the order parameter amplitude when periodically driven by electromagnetic radiation. In this work, we develop a Floquet approach to study Higgs modes in superconductors…

Superconductivity · Physics 2024-06-05 Tobias Kuhn , Björn Sothmann , Jorge Cayao

The Higgs mode, originally proposed in the context of superconductivity, corresponds to oscillations of the amplitude of the superconducting order parameter. Recent THz-domain optical studies have found signatures consistent with the Higgs…

Superconductivity · Physics 2026-04-22 Aritra Lahiri , Juan Carlos Cuevas , Björn Trauzettel

We consider the Higgs mode at nonzero momentum in superconductors and demonstrate that in the presence of Rashba spin-orbit coupling, it couples linearly with an external exchange field. The Higgs-spin coupling dramatically modifies the…

Superconductivity · Physics 2025-02-10 Yao Lu , Risto Ojajärvi , P. Virtanen , M. A. Silaev , Tero T. Heikkilä

A superconductor illuminated by an ac electric field with frequency $\Omega$ is theoretically found to generate a collective precession of Anderson's pseudospins, and hence a coherent amplitude oscillation of the order parameter, with a…

Superconductivity · Physics 2015-08-17 Naoto Tsuji , Hideo Aoki

The proximity effect in hybrid superconducting - normal metal structures is shown to affect strongly the coherent oscillations of the superconducting order parameter $\Delta$ known as the Higgs modes. The standard Higgs mode at the…

Superconductivity · Physics 2019-09-18 V. L. Vadimov , I. M. Khaymovich , A. S. Mel'nikov

A superconductor subject to electromagnetic irradiation in the terahertz range can show amplitude oscillations of its order parameter. However, coupling this so-called Higgs mode to the charge current is notoriously difficult. We propose to…

Mesoscale and Nanoscale Physics · Physics 2020-07-08 Gaomin Tang , Wolfgang Belzig , Ulrich Zülicke , Christoph Bruder

As pointed out by Nambu&Goldstone, continuous symmetry breaking gives rise to gapless bosonic excitation. In superconductors, continuous local U(1) gauge symmetry is broken. The gapless excitation thus created is the collective phase mode…

Superconductivity · Physics 2025-12-12 Hao Chu , Haotian Zhang , Zhili Zhang

Condensed-matter analogs of the Higgs boson in particle physics allow insights into its behavior in different symmetries and dimensionalities. Evidence for the Higgs mode has been reported in a number of different settings, including…

Strongly Correlated Electrons · Physics 2017-08-02 A. Jain , M. Krautloher , J. Porras , G. H. Ryu , D. P. Chen , D. L. Abernathy , J. T. Park , A. Ivanov , J. Chaloupka , G. Khaliullin , B. Keimer , B. J. Kim

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 concept of mass-generation via the Higgs mechanism was strongly inspired by earlier works on the Meissner-Ochsenfeld effect in superconductors. In quantum field theory, the excitations of longitudinal components of the Higgs field…

Below a continuous symmetry breaking phase transition, the relevant collective excitations are due to longitudinal and transverse fluctuations of the order parameter, which are referred to as Higgs and Goldstone modes, respectively. In…

Strongly Correlated Electrons · Physics 2025-04-29 Bryan T. Fichera , Ajesh Kumar , Baiqing Lv , Zongqi Shen , Karna Morey , Qian Song , Batyr Ilyas , Tianchuang Luo , Riccardo Comin , T. Senthil , Nuh Gedik

We propose to induce a time crystalline state in a high-$T_c$ superconductor, by optically driving a sum resonance of the Higgs mode and a Josephson plasma mode. The generic cubic process that couples these fundamental excitations converts…

Superconductivity · Physics 2021-06-04 Guido Homann , Jayson G. Cosme , Ludwig Mathey

We present a novel framework for controlling Higgs mode and vortex dynamics in superconductors using structured light. We propose a phenomenon analog of the Kapitza-Dirac effect in superconductors, where Higgs waves scatter off…

Strongly Correlated Electrons · Physics 2025-11-17 Daemo Kang , Tien-Tien Yeh , Takahiro Morimoto , Alexander V. Balatsky

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

Higgs and Goldstone modes are possible collective modes of an order parameter upon spontaneously breaking a continuous symmetry. Whereas the low-energy Goldstone (phase) mode is always stable, additional symmetries are required to prevent…

Quantum Gases · Physics 2019-12-05 A. Behrle , T. Harrison , J. Kombe , K. Gao , M. Link , J. -S. Bernier , C. Kollath , M. Köhl
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