Amplitude / Higgs Modes in Condensed Matter Physics

Abstract

The order parameter and its variations in space and time in many different states in condensed matter physics at low temperatures are described by the complex function $\Psi (\mathbf{r},t)$. These states include superfluids, superconductors, and a subclass of antiferromagnets and charge-density waves. The collective fluctuations in the ordered state may then be categorized as oscillations of phase and amplitude of $\Psi (\mathbf{r},t)$. The phase oscillations are the {\it Goldstone} modes of the broken continuous symmetry. The amplitude modes, even at long wavelengths, are well defined and decoupled from the phase oscillations only near particle-hole symmetry, where the equations of motion have an effective Lorentz symmetry as in particle physics, and if there are no significant avenues for decay into other excitations. They bear close correspondence with the so-called {\it Higgs} modes in particle physics, whose prediction and discovery is very important for the standard model of particle physics. In this review, we discuss the theory and the possible observation of the amplitude or Higgs modes in condensed matter physics -- in superconductors, cold-atoms in periodic lattices, and in uniaxial antiferromagnets. We discuss the necessity for at least approximate particle-hole symmetry as well as the special conditions required to couple to such modes because, being scalars, they do not couple linearly to the usual condensed matter probes.

arXiv comment39 pages, 12 figures. Replaced with published version; Annual Reviews of Condensed Matter Physics Volume 6 (2015)

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• Strong-coupling expansions for the pure and disordered bose Hubbard model
• The `Higgs' Amplitude Mode at the Two-Dimensional Superfluid-Mott Insulator Transition
• Monte Carlo study of two-dimensional Bose-Hubbard model
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• Oscillating Superfluidity of Bosons in Optical Lattices
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• Visibility of the Amplitude (Higgs) Mode in Condensed Matter
• Amplitude `Higgs' mode in 2H-NbSe2 Superconductor
• Dynamical properties of ultracold bosons in an optical lattice
• Collective coherence in planar semiconductor microcavities
• Eliminating leading corrections to scaling in the 3-dimensional O(N)-symmetric phi^4 model: N=3 and 4
• Detecting the Amplitude Mode of Strongly Interacting Lattice Bosons by Bragg Scattering
• Excitations of a Superfluid in a 3D Optical Lattice
• Spectral functions of the Higgs mode near two-dimensional quantum critical points
• High precision Monte Carlo study of the 3D XY-universality class
• The Higgs mode in a two-dimensional superfluid
• Universal relaxational dynamics near two-dimensional quantum-critical points
• Fate of the Higgs mode near quantum criticality
• Anomalous fluctuations in phases with a broken continuous symmetry
• "Bad Metal" Conductivity of Hard Core Bosons
• Universal Conductivity in a Two-Dimensional Superfluid-to-Insulator Quantum Critical System
• The Amplitude Mode in the Quantum Phase Model
• Neutron Diffraction Study of the Pressure-Induced Magnetic Ordering in the Spin Gap System TlCuCl${}_3$
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• A projection operator approach to the Bose-Hubbard model
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• Interplay between the pseudogap and superconductivity in HgBa${}_2$CuO${}_4$ single crystals
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Cited by in corpus (281)

• Time-dependent density-functional description of nuclear dynamics
• Higgs Mode in Superconductors
• Monitoring and manipulating Higgs and Goldstone modes in a supersolid quantum gas
• An Introduction to Spontaneous Symmetry Breaking
• Theory of Anderson pseudospin resonance with Higgs mode in superconductors
• Higgs mode and its decay in a two dimensional antiferromagnet
• Non-linear optical effects and third-harmonic generation in superconductors: Cooper-pairs vs Higgs mode contribution
• Quantum Nanophotonics in Two-Dimensional Materials
• Phase-resolved Higgs response in superconducting cuprates
• Higgs mode in the d-wave superconductor Bi2Sr2CaCu2O8+x driven by an intense terahertz pulse
• Ultrafast manipulation of mirror domain walls in a charge density wave
• Variational Study of Fermionic and Bosonic Systems with Non-Gaussian States: Theory and Applications
• Goldstone mode and pair-breaking excitations in atomic Fermi superfluids
• Coupling of Higgs and Leggett modes in nonequilibrium superconductors
• Quantum quench phase diagrams of an s-wave BCS-BEC condensate
• Polarization-resolved terahertz third-harmonic generation in a superconductor NbN: dominance of Higgs mode beyond the BCS approximation
• Direct observation of Higgs mode oscillations in the pump-probe photoemission spectra of electron-phonon mediated superconductors
• Higgs mode in a strongly interacting fermionic superfluid
• Nonlinear electromagnetic response and Higgs mode excitation in BCS superconductors with impurities
• Classification and characterization of nonequilibrium Higgs modes in unconventional superconductors
• Pressure induced collapse of the charge density wave and Higgs mode visibility in 2H-TaS${}_2$
• Counting Rules of Nambu-Goldstone Modes
• Collective Excitations and Nonequilibrium Phase Transition in Dissipative Fermionic Superfluids
• Nonlinear optical response of collective modes in multiband superconductors assisted by nonmagnetic impurities
• Non-relativistic dynamics of the amplitude (Higgs) mode in superconductors
• Raman scattering from Higgs mode oscillations in the two-dimensional antiferromagnet Ca${}_2$RuO${}_4$
• The Fate of the Higgs Mode in a Trapped Dipolar Supersolid
• Infrared activation of the Higgs mode by supercurrent injection in superconducting NbN
• Supersolidity in Two-Dimensional Trapped Dipolar Droplet Arrays
• Roton minimum as fingerprint of magnon-Higgs scattering in ordered quantum antiferromagnets
• Third harmonic generation from collective modes in disordered superconductors
• Higgs-mode radiance and charge-density-wave order in 2H-NbSe${}_2$
• Dynamical structure factors and excitation modes of the bilayer Heisenberg model
• Theory of light-induced resonances with collective Higgs and Leggett modes in multiband superconductors
• Dynamical synchronization transition in interacting electron systems
• Nonlocal Andreev Entanglements and Triplet Correlations in Graphene with Spin Orbit Coupling
• Axial Higgs Mode Detected by Quantum Pathway Interference in RTe3
• Twisting Anderson pseudospins with light: Quench dynamics in THz-pumped BCS superconductors
• Nonlinear light-Higgs coupling in superconductors beyond BCS: Effects of the retarded phonon-mediated interaction
• Quantum coarsening and collective dynamics on a programmable simulator
• Collective Modes in Excitonic Insulators: Effects of Electron-Phonon Coupling and Signatures in Optical Response
• Direct observation of the Higgs amplitude mode in a two-dimensional quantum antiferromagnet near the quantum critical point
• Ultrafast melting and recovery of collective order in the excitonic insulator Ta${}_2$NiSe${}_5$
• Anomalous gap edge dissipation in disordered superconductors on the brink of localization
• The amplitude mode in three-dimensional dimerized antiferromagnets
• Parametric excitation of an optically silent Goldstone-like phonon mode
• Polarization dependence of the third-harmonic generation in multiband superconductors
• Light Higgs channel of the resonant decay of magnon condensate in superfluid ${}^3$He-B
• Characterizing the energy gap and demonstrating an adiabatic quench in an interacting spin system
• Higgs-mode resonance in third harmonic generation in NbN superconductors: multiband electron-phonon coupling, impurity scattering, and polarization-angle dependence
• Collective Modes in Excitonic Magnets: Dynamical Mean-Field Study
• Review of the theoretical description of time-resolved angle-resolved photoemission spectroscopy in electron-phonon mediated superconductors
• Pair-Breaking Collective Branch in BCS Superconductors and Superfluid Fermi Gases
• Non-equilibrium phenomena in superconductors probed by femtosecond time-domain spectroscopy
• Superconducting fluctuations probed by the Higgs mode in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+x}$ thin films
• Theory of driven Higgs oscillations and third-harmonic generation in unconventional superconductors
• Spin dynamics of itinerant electrons: local magnetic moment formation and Berry phase
• Higgs criticality in a two-dimensional metal
• Geometric aspects of nonlinear and nonequilibrium phenomena
• Spinon Confinement and a Sharp Longitudinal Mode in Yb${}_2$Pt${}_2$Pb in Magnetic Fields
• Revealing novel aspects of light-matter coupling in terahertz two-dimensional coherent spectroscopy: the case of the amplitude mode in superconductors
• Correlation-induced superconductivity dynamically stabilized and enhanced by laser irradiation
• Low-energy effective theory of non-thermal fixed points in a multicomponent Bose gas
• Magnetic-field- and pressure-induced quantum phase transition in CsFeCl${}_3$ proved via magnetization measurement
• Gauge-invariant microscopic kinetic theory of superconductivity: application to electromagnetic response of Nambu-Goldstone and Higgs modes
• Few-body precursor of the Higgs mode in a superfluid Fermi gas
• Band-selective third-harmonic generation in superconducting MgB${}_2$: Possible evidence for Higgs amplitude mode in the dirty limit
• Nutation Wave as a Platform for Ultrafast Spin Dynamics in Ferromagnets
• On the application of Mattis-Bardeen theory in strongly disordered superconductors
• A Holographic Superfluid Symphony
• Higgs and Goldstone spin-wave modes in striped magnetic texture
• Prescaling in a far-from-equilibrium Bose gas
• Dynamical instability of a driven-dissipative electron-hole condensate in the BCS-BEC-crossover region
• Photoinduced enhancement of excitonic order in the two-orbital Hubbard model
• Fano interference of the Higgs mode in cuprate high-Tc superconductors
• Amplitude mode oscillations in pump-probe photoemission spectra from a d-wave superconductor
• Nonlinear spectroscopy of collective modes in excitonic insulator
• Collective excitations and supersolid behavior of bosonic atoms inside two crossed optical cavities
• The Higgs boson -- its implications and prospects for future discoveries
• Harnessing Ultraconfined Graphene Plasmons to Probe the Electrodynamics of Superconductors
• Spin dynamics and unconventional Coulomb phase in Nd${}_2$Zr${}_2$O${}_7$
• Excitation Gap Scaling near Quantum Critical Three-Dimensional Antiferromagnets
• Lightwave Terahertz Quantum Manipulation of Non-equilibrium Superconductor Phases and their Collective Modes
• Higgs Mode and Magnon Interactions in 2D Quantum Antiferromagnets from Raman Scattering
• Higgs time crystal in a high-$T_c$ superconductor
• Manifestion of structural Higgs and Goldstone modes in the hexagonal manganites
• Quantum Gutzwiller approach for the two-component Bose-Hubbard model
• Evolution of Higgs mode in a Fermion Superfluid with Tunable Interactions
• High-order nonlinear terahertz probing of the two-band superconductor MgB${}_2$: Third- and fifth-order harmonic generation
• Current-assisted Raman activation of the Higgs mode in superconductors
• BCS in the Sky: Signatures of Inflationary Fermion Condensation
• Spectral function of the Higgs mode in 4-\varepsilon dimensions
• Quantum fluctuations beyond the Gutzwiller approximation in the Bose-Hubbard model
• Optical response of the Leggett mode in multiband superconductors in the linear response regime
• Mechanism of High-Temperature Superconductivity in Correlated-Electron Systems
• Short-distance breakdown of the Higgs mechanism and the robustness of the BCS theory for charged superconductors
• Collective dynamics and the Anderson-Higgs mechanism in a bona fide holographic superconductor
• Transient Higgs oscillations and high-order nonlinear light-Higgs coupling in terahertz-wave drivenNbN superconductor
• Surface Josephson plasma waves in a high-temperature superconductor
• Dynamical structure factors of a two-dimensional Fermi superfluid within random phase approximation
• Decay and renormalization of a longitudinal mode in a quasi-two-dimensional antiferromagnet
• Damping of the Collective Amplitude Mode in Superconductors with Strong Electron-Phonon Coupling
• Quantal rotation and its coupling to intrinsic motion in nuclei
• Quench dynamics of a confined ultracold Fermi gas: Direct visibility of the Goldstone mode in the single-particle excitations
• Finite-size Scaling of O($n$) Systems at the Upper Critical Dimensionality
• Pure Goldstone mode in the quench dynamics of a confined ultracold Fermi gas in the BCS-BEC crossover regime
• Quasi-two-dimensional Bose-Einstein condensation of spin triplets in dimerized quantum magnet Ba${}_2$CuSi${}_2$O${}_6$Cl${}_2$
• Emergent particles and gauge fields in quantum matter
• Supersolid Stacks in Antidipolar Bose-Einstein Condensates
• Higgs Modes in the Pair Density Wave Superconducting State
• Order parameter fluctuation and ordering competition in $\mathrm{B}{\mathrm{a}}_{1-\mathrm{x}}{\mathrm{K}}_{\mathrm{x}}\mathrm{F}{\mathrm{e}}_2\mathrm{A}{\mathrm{s}}_2$
• Magnetic excitations and amplitude fluctuations in insulating cuprates
• Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
• Impurity scattering in superconductors revisited
• Influence of scattering on optical response of superconductivity
• Fano resonance through Higgs bound states in tunneling of Nambu-Goldstone modes
• Anomalous Magnetoresistance due to Longitudinal Spin Fluctuations in a Jeff = 1/2 Mott Semiconductor
• Terahertz third harmonic generation in c-axis La${}_{1.85}$Sr${}_{0.15}$CuO${}_4$
• Van Vleck excitons in Ca${}_2$RuO${}_4$
• Following the Higgs mode across the BCS-BEC crossover in two dimensions
• Observation of terahertz second harmonic generation from Dirac surface states in the topological insulator Bi${}_2$Se${}_3$
• Consequences of integrability breaking in quench dynamics of pairing Hamiltonians
• Chern-Simons superconductors and their instabilities
• Amplitude mode in the planar triangular antiferromagnet Na${}_{0.9}$MnO${}_2$
• Optical Enhancement of Superconductivity via Targeted Destruction of Charge Density Waves
• Cavity Higgs-Polaritons
• Phase signatures in third-harmonic response of Higgs and coexisting modes in superconductors
• Damping of the Higgs and Nambu-Goldstone modes of superfluid Bose gases at finite temperatures
• Simulating a Mott insulator using attractive interaction
• Particle-hole character of the Higgs and Goldstone modes in strongly-interacting lattice bosons
• Hidden charge-conjugation, parity, and time-reversal symmetries and massive Goldstone (Higgs) modes in superconductors
• Evidence of a distinct collective mode in Kagome superconductors
• Spin currents driven by the Higgs mode in magnetic superconductors
• Post-quench gap dynamics of two-band superconductors
• Collective modes of a soliton train in a Fermi superfluid
• Higgs/Amplitude Mode Dynamics From Holography
• Quench-drive spectroscopy and high-harmonic generation in BCS superconductors
• Higgs-like pair amplitude dynamics in superconductor-quantum dot hybrids
• A new paradigm for the low-T glassy-like thermal properties of solids
• Role of Nambu-Goldstone modes in the fermionic superfluid point contact
• Uncovering the Hidden Ferroaxial Density Wave as the Origin of the Axial Higgs Mode in RTe${}_3$
• Fluctuations and pairing in Fe-based superconductors: Light scattering experiments
• Collective excitations in spin-1/2 magnets through bond-operator formalism designed both for paramagnetic and ordered phases
• Scalar excitation with Leggett frequency in ${}^3$ He-B and the $125$ GeV Higgs particle in top quark condensation models as Pseudo - Goldstone bosons
• Mass hierarchy in collective modes of pair-density-wave superconductors
• Hybridization of Higgs modes in a bond-density-wave state in cuprates
• The Higgs Mode of Planar Coupled Spin-Ladders and its Observation in C${}_9$H${}_{18}$N${}_2$CuBr${}_4$
• Momentum-resolved analysis of condensate dynamic and Higgs oscillations in quenched superconductors with tr-ARPES
• Observability of Higgs Mode in a system without Lorentz invariance
• Classification of Lifshitz invariant in multiband superconductors: an application to Leggett modes in the linear response regime in Kagome lattice models
• Collective mode contributions to the Meissner effect: Fulde-Ferrell and pair-density wave superfluids
• Detection of collective modes in unconventional superconductors using tunneling spectroscopy
• The Higgs-Amplitude mode in the optical conductivity in the presence of a supercurrent: Gauge-invariant formulation with disorder
• Calculation of an enhanced A1g symmetry mode induced by Higgs oscillations in the Raman spectrum of high-temperature cuprate superconductors
• Phases and collective modes of bosons in a triangular lattice at finite temperature: A cluster mean field study
• Excitation of the Higgs Mode in a Superfluid Fermi Gas in the BCS-BEC Crossover
• Lattice modulation spectroscopy of one-dimensional quantum gases:Universal scaling of the absorbed energy
• Spontaneous symmetry breaking and Higgs mode: comparing Gross-Pitaevskii and nonlinear Klein-Gordon equations
• Collective modes at a disordered quantum phase transition
• Dark matter candidate with well-defined mass and couplings
• ac Hall Effect and Photon Drag of Superconducting Condensate
• Floquet engineering Higgs dynamics in time-periodic superconductors
• Generation and decay of Higgs mode in a strongly interacting Fermi gas
• Third-harmonic generation in excitonic insulators
• Inhomogeneous mean-field approach to collective excitations in disordered interacting bosons
• Higgs mode mediated enhancement of interlayer transport in high-$T_c$ cuprate superconductors
• Signatures of the Higgs mode in transport through a normal-metal--superconductor junction
• An On-Site Density Matrix Description of the Extended Falicov--Kimball Model at Finite Temperatures
• Electromagnetic response of superconductors in the presence of multiple collective modes
• Higgs amplitude mode in massless Dirac fermion systems
• Critical behavior of the Higgs- and Goldstone-mass gaps for the two-dimensional S=1 XY model
• Exciting the Higgs mode in a strongly-interacting Fermi gas by interaction modulation
• Optical response of Higgs mode in superconductors at clean limit
• Surface Cooper pair spin waves in triplet superconductors
• Stable Higgs mode in anisotropic quantum magnets
• Electron-momentum dependence of electron-phonon coupling underlies dramatic phonon renormalization in YNi${}_2$B${}_2$C
• Magnetism of the antiferromagnetic spin-$\frac{3}{2}$ dimer compound CrVMoO${}_7$ having an antiferromagnetically ordered state
• Dynamic structure factor of one-dimensional Fermi superfluid with spin-orbit coupling
• Pair-amplitude dynamics in strongly-coupled superconductor-quantum dot hybrids
• Dynamical structure factor of a fermionic supersolid on an optical lattice
• Probing two Higgs oscillations in a one-dimensional Fermi superfluid with Raman-type spin-orbit coupling
• First ESR Detection of Higgs Amplitude Mode and Analysis with Extended Spin-Wave Theory in Dimer System KCuCl${}_3$
• Two Nambu-Goldstone zero modes for rotating Bose-Einstein condensates
• Pairing Dynamics of Polar States in a Quenched p-wave Superfluid Fermi Gas
• Direct observation of the quantum-fluctuation driven amplitude mode in a microcavity polariton condensate
• Chirped amplitude mode in photo-excited superconductors
• Bound collective modes in nonuniform superconductors
• Phase diagram of 1+1D Abelian-Higgs model and its critical point
• Universal collective modes in 2 dimensional chiral superfluids
• Higgs modes in two-dimensional spatially-indirect exciton condensates
• Collisionless dynamics of superconducting gap excited by spin-splitting field
• Long-lived Higgs modes in strongly correlated condensates
• Localization of the Higgs mode at the superfluid-Mott glass transition
• Response of the Higgs amplitude mode of superfluid Bose gases in a three dimensional optical lattice
• Universal scaled Higgs-mass gap for the bilayer Heisenberg model in the ordered phase
• Crossover between snake instability and Josephson instability of dark solitons in superfluid Fermi gases
• Imprinting spiral Higgs waves onto superconductors with vortex beams
• Gaussian quantum fluctuations in the superfluid-Mott phase transition
• Thermal effects on collective modes in disordered $s$-wave superconductors
• Gapless Higgs Mode in the Fulde-Ferrell-Larkin-Ovchinnikov State of a Superconductor
• A case study of bilayered spin-$1/2$ square lattice compound [VO(HCOO)${}_2\cdot$(H${}_2$O)]
• Role of the Ward Identity and Relevance of the G0W0 Approximation in Normal and Superconducting States
• Exact Continuum Representation of Long-range Interacting Systems and Emerging Exotic Phases in Unconventional Superconductors
• Large moiré superstructure of stacked incommensurate charge density waves
• Exciting the long-lived Higgs mode in superfluid Fermi gases with particle removal
• Optically active Higgs and Leggett modes in multiband pair-density-wave superconductors with Lifshitz invariant
• Optical response of Higgs mode in superconductors at clean limit: formulation through Eilenberger equation and Ginzburg-Landau Lagrangian
• Spectral properties of critical 1+1D Abelian-Higgs model
• Goldstone and Higgs Hydrodynamics in the BCS-BEC Crossover
• Collective excitations of a charged Fermi superfluid in the BCS-BEC crossover
• Vortex and soliton dynamics in particle-hole symmetric superfluids
• Dynamic structure factor of two-dimensional Fermi superfluid with Rashba spin-orbit coupling
• Unconventional photo-induced charge-density-wave dynamics in 2H-NbSe${}_2$
• Superconducting quantum criticality and the anomalous scaling: A nonlinear relativistic equation
• Perfect transmission of Higgs modes via antibound states
• A Mean-Field Study of Quantum Oscillations in Two-Dimensional Kondo Insulators
• Incoherent Excitation of Coherent Higgs Oscillations in Superconductors
• Parametric control of Meissner screening in light-driven superconductors
• Localized Higgs modes of superfluid Bose gases in optical lattices: A Guzwiller mean-field study
• Higgs and Nambu-Goldstone modes in condensed matter physics
• Leggett Modes Accompanying Crystallographic Phase Transitions
• Phenomenological theory of the superconducting state inside the hidden-order phase of URu${}_2$Si${}_2$
• Quantum transition between magnetically ordered and Mott glass phases
• Higgs response and pair condensation energy in superfluid nuclei
• Terahertz amplifiers based on gain reflectivity in cuprate superconductors
• Duality-mediated critical amplitude ratios for the $(2+1)$-dimensional $S=1$ $XY$ model
• Collective modes in Fulde-Ferrell-Larkin-Ovchinnikov superconductors: The role of long-range Coulomb interaction and signatures in density response
• Experimental signatures of a new dark matter WIMP
• Entanglement entropy in low-energy field theories at finite chemical potential
• Antiparticle of exciton in semimetals
• Interacting bosons in two-dimensional lattices with localized dissipation
• Formation of paired phases of bosons and their excitations in a square lattice
• Scalar susceptibility of a diluted classical XY model
• Fermi points and the Nambu sum rule in the polar phase of ${}^3$He
• Spectrum of density, spin and pairing fluctuations of an attractive two-dimensional Fermi gas
• Hybridization of the amplitude mode in a confined fermionic superfluid
• Logarithmic Finite-Size Scaling of the Four-Dimensional Ising Model
• Causal and Stable Superfluid Hydrodynamics
• Optical absorption activated by an ultrashort half-cycle pulse in metallic and superconducting states of the Hubbard model
• Detecting Topological Phase Transition in Superconductor-Semiconductor Hybrids by Electronic Raman Spectroscopy
• Signatures of superconducting Higgs mode in irradiated Josephson junctions
• Spatially resolved collective modes in d-wave superconductors
• Higgs physics in superconductors
• Topological Higgs Amplitude Modes in Strongly Interacting Superfluids
• Total Moment Sum Rule for Magnets in the Vicinity of Quantum Critical Point
• Time-resolved optical conductivity and Higgs oscillations in two-band dirty superconductors
• Collective terahertz fluctuation modes in a polariton laser
• Bragg spectroscopy and pair-breaking-continuum mode in a superfluid Fermi gas
• Finite temperature phases and excitations of bosons on a square lattice: A cluster mean field study
• Propagating Collective Spin-valley Modes in Twisted WSe2
• Two-dimensional coherent spectroscopy of disordered superconductors in the narrow-band and broad-band limits
• Quantum Quenches of an SO(5) Pseudospin Reveal Higgs Bosons
• Criticality of the Higgs mass for the long-range quantum $XY$ chain: Amplitude ratio between the Higgs and paramagnetic gaps
• Signatures of Bardasis-Schrieffer mode excitation in Third-Harmonic generated currents
• Manipulating Goldstone modes via the superradiant light in a bosonic lattice gas inside a cavity
• Superfluid properties of an ultracold Fermi gas with an orbital Feshbach resonance in the BCS-BEC crossover region
• Higgs mode stabilization by photo-induced long-range interactions in a superconductor
• Critical Behavior and Collective Modes at the Superfluid Transition in Amorphous Systems
• Edge optical effect as a probe of chiral topological superconductors
• Terahertz pulse-driven collective mode in the nematic superconducting state of Ba${}_{1-x}$K${}_x$Fe${}_2$As${}_2$
• Criticality of the low-frequency conductivity for the bilayer quantum Heisenberg model
• Optical Pumping of Bardeen-Cooper-Schrieffer Superconductors
• Linear response of a superfluid Fermi gas inside its pair-breaking continuum
• Electromagnetic fluctuation and collective modes in relativistic bosonic superfluid in mixed dimensions
• Phenomenological Ginzburg-Landau theory for triple-Q magnetic orders on a hexagonal lattice
• Amplitude mode at the superfluid-insulator transition on a random lattice
• Gauge couplings in a multicomponent dark matter scenario
• Third-harmonic generation in superconductors: Role of quantum geometry in the competition between Higgs mode and quasiparticles
• Negative radiation pressure in the abelian Higgs model
• Raman response of collective modes in multicomponent superconductors
• Hybrid collective excitations in topological superconductor/ferromagnetic insulator heterostructures
• Tangent equations of motion for nonlinear response functions
• Terahertz nonlinear response in cuprate superconductors and the Higgs field in doped Mott insulators
• Higgs mode in $2+1$ dimensional $O(2)$ model
• Construction of Entangled Many-body States via the Higgs Mechanism
• Subgap two-particle spectral weight in disordered $s$-wave superconductors: Insights from mode coupling approach
• AC Josephson Signatures of the Superconducting Higgs Mode
• Higgs oscillations in a unitary Fermi superfluid
• Elementary excitations in undoped layered cuprates
• Higgs and Nambu-Goldstone modes in a spin-1 $XY$ model with long-range interactions
• AC Conductivity Crossover in Localized Superconductors