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The Higgs mode corresponds to the collective motion of particles due to the vibrations of an invisible field. It plays a fundamental role for our understanding of both low and high energy physics, giving elementary particles their mass and…

Quantum Gases · Physics 2014-09-03 Georg M. Bruun

Higgs resonance modes in condensed matter systems are generally broad; meaning large decay widths or short relaxation times. This common feature has obscured and limited their observation to a select few systems. Contrary to this, the…

Strongly Correlated Electrons · Physics 2017-05-26 H. D. Scammell , O. P. Sushkov

We put forth a mechanism for enhancing the interlayer transport in cuprate superconductors, by optically driving plasmonic excitations along the $c$ axis with a frequency that is blue-detuned from the Higgs frequency. The plasmonic…

Superconductivity · Physics 2021-06-07 Guido Homann , Jayson G. Cosme , Junichi Okamoto , Ludwig Mathey

The Higgs amplitude mode is a collective excitation studied and observed in a broad class of matter, including superconductors, charge density waves, antiferromagnets, 3He p-wave superfluid, and ultracold atomic condensates. In all the…

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 consider a quantum dot weakly tunnel coupled to superconducting reservoirs. A finite superconducting pair amplitude can be induced on the dot via the proximity effect. We investigate the dynamics of the induced pair amplitude after a…

Mesoscale and Nanoscale Physics · Physics 2021-01-20 Mathias Kamp , Björn Sothmann

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 a number of fermionic condensate phases on the honeycomb lattice, to determine whether topological defects (vortices and edges) in these phases can support bound states with zero energy. We argue that topological zero modes…

Superconductivity · Physics 2009-06-08 Doron L. Bergman , Karyn Le Hur

We study theoretically two-dimensional single-crystalline sheets of semiconductors that form a honeycomb lattice with a period below 10 nm. These systems could combine the usual semiconductor properties with Dirac bands. Using atomistic…

Mesoscale and Nanoscale Physics · Physics 2015-02-19 E. Kalesaki , C. Delerue , C. Morais Smith , W. Beugeling , G. Allan , D. Vanmaekelbergh

Honeycomb structure has a natural extension to the three dimensions. Simple examples are hyperhoneycomb and stripy-honeycomb lattices, which are realized in $\beta $-Li$_{2}$IrO$_{3}$ and $\gamma $-Li$_{2}$IrO$_{3}$, respectively. We…

Mesoscale and Nanoscale Physics · Physics 2016-03-29 Motohiko Ezawa

We study the effect of strong electron-phonon interactions on the damping of the Higgs amplitude mode in superconductors by means of non-equilibrium dynamical mean-field simulations of the Holstein model. In contrast to the BCS dynamics, we…

Superconductivity · Physics 2016-09-21 Y. Murakami , P. Werner , N. Tsuji , H. Aoki

Semi-Dirac semimetal is a material exhibiting linear band dispersion in one direction and quadratic band dispersion in the orthogonal direction and, therefore, hosts massless and massive fermions at the same point in the momentum space.…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 Chengyong Zhong , Yuanping Chen , Yuee Xie , Yi-Yang Sun , Shengbai Zhang

We extend the well-established action of the Higgs mode in $s$-wave superconductors to include quantum fluctuations (QFs). We find that already one-loop quantum corrections to the Higgs propagator shift its eigenfrequency below the…

Superconductivity · Physics 2026-04-17 Sida Tian , Naoto Tsuji , Dirk Manske

The lack of both nesting and a van Hove singularity at half filling, together with the presence of Dirac cones makes the honeycomb lattice a special laboratory to explore strongly correlated phenomena. For instance, at zero temperature the…

Strongly Correlated Electrons · Physics 2025-10-31 Welberth Kennedy , Sebastião dos Anjos Sousa-Júnior , Natanael C. Costa , Raimundo R. dos Santos

A perturbative ac field superposed on a dc bias ($J_b$) is known to excite the Higgs mode in superconductors. The dirty limit, where disorder enhances the Higgs resonance, provides an ideal setting for this study and is also relevant to…

Superconductivity · Physics 2025-06-04 Takayuki Kubo

We have performed large-scale density-matrix renormalization group studies of the lightly doped Hubbard model on the honeycomb lattice on long three and four-leg cylinders. We find that the ground state of the system upon lightly doping is…

Strongly Correlated Electrons · Physics 2023-03-23 Cheng Peng , D. N. Sheng , Hong-Chen Jiang

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

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

Silicene, a sheet of silicon atoms in a honeycomb lattice, was proposed to be a new Dirac-type electron system similar as graphene. We performed scanning tunneling microscopy and spectroscopy studies on the atomic and electronic properties…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Lan Chen , Cheng-Cheng Liu , Baojie Feng , Xiaoyue He , Peng Cheng , Zijing Ding , Sheng Meng , Yugui Yao , Kehui Wu

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