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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 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

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

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

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

The conductivity of the two-dimensional Hubbard model is particularly relevant for high-temperature superconductors. Vertex corrections are expected to be important because of strongly momentum dependent self-energies. We use the…

Strongly Correlated Electrons · Physics 2015-03-17 Dominic Bergeron , Vasyl Hankevych , Bumsoo Kyung , A. -M. S. Tremblay

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 investigate the collective oscillations in the BCS-BEC crossover region of a trapped Fermi superfluid at T=0. We explicitly include the effect of a Feshbach resonance, which leads to a tunable pairing interaction adjusted by the…

Other Condensed Matter · Physics 2007-05-23 Yoji Ohashi , Allan Griffin

We theoretically investigate the current-enabled linear optical conductivity of collective modes in superconductors with unconventional pairing symmetries. After deriving general formulas for the optical conductivity of a superconductor…

Superconductivity · Physics 2025-10-09 Gerrit Niederhoff , Ryusei Kataoka , Kazuaki Takasan , Naoto Tsuji

We show that in a superconductor where two or more bands cross the Fermi level it is possible, in the framework of the conventional (s-wave) BCS theory, that the sign of the superconducting gap is different on the different sheets of the…

Condensed Matter · Physics 2009-10-28 A. A. Golubov , I. I. Mazin

Noncentrosymmetric superconductors offer fascinating phenomena of quantum transport and optics such as nonreciprocal and nonlinear responses. Time-reversal symmetry breaking often plays an essential role in the emergence and enhancement of…

Superconductivity · Physics 2025-03-31 Hiroto Tanaka , Hikaru Watanabe , Youichi Yanase

We study dynamics of a superconducting condensate in the presence of a domain wall defect in the order parameter. We find that broken translation and reflection symmetries result in new collective excitations, bound to the domain wall…

Superconductivity · Physics 2016-02-23 Andrew R. Hammer , Anton B. Vorontsov

Fully gapped, spin singlet superconductors with antisymmetric spin-orbit coupling in a Zeeman magnetic field provide a promising route to realize superconducting states with non-Abelian topological order and therefore fault-tolerant quantum…

Superconductivity · Physics 2023-06-14 Peter Doak , Giovanni Balduzzi , Pontus Laurell , Elbio Dagotto , Thomas A. Maier

We discuss a pairing mechanism in interacting two-dimensional multipartite lattices that intrinsically leads to a second order topological superconducting state with a spatially modulated gap. When the chemical potential is close to Dirac…

Superconductivity · Physics 2022-02-28 Tommy Li , Max Geier , Julian Ingham , Harley D. Scammell

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

Superconducting mechanism mediated by interband exchange Coulomb repulsion is examined in an extended two-band Hubbard models with a wide band crossing the Fermi level and coexisting with a narrower band located at moderately lower energy.…

Superconductivity · Physics 2007-05-23 Masatoshi Imada

Despite the broadband response, limited optical absorption at a particular wavelength hinders the development of optoelectronics based on Dirac fermions. Heterostructures of graphene and various semiconductors have been explored for this…

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

We theoretically study first and second-order optical responses in a transition metal dichalcogenide monolayer with distinct trivial, nodal, and time-reversal invariant topological superconducting (TRITOPS) phases. We show that the…

Superconductivity · Physics 2024-05-14 Arpit Raj , Abigail Postlewaite , Swati Chaudhary , Gregory A. Fiete

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
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