Visibility of the Amplitude (Higgs) Mode in Condensed Matter

Abstract

The amplitude mode is a ubiquitous collective excitation in condensed matter systems with broken continuous symmetry. It is expected in antiferromagnets, short coherence length superconductors, charge density waves, and lattice Bose condensates. Its detection is a valuable test of the corresponding field theory, and its mass gap measures the proximity to a quantum critical point. However, since the amplitude mode can decay into low-energy Goldstone modes, its experimental visibility has been questioned. Here we show that the visibility depends on the symmetry of the measured susceptibility. The longitudinal susceptibility diverges at low frequency as χ_{σσ} ~ i/ω(d=2) or log(1/|ω|) (d=3), which can completely obscure the amplitude peak. In contrast, the scalar susceptibility is suppressed by four extra powers of frequency, exposing the amplitude peak throughout the ordered phase. We discuss experimental setups for measuring the scalar susceptibility. The conductivity of the O(2) theory (relativistic superfluid) is a scalar response and therefore exhibits suppressed absorption below the Higgs mass threshold, σ~ ω^{2d+1}. In layered, short coherence length superconductors, (relevant e.g. to cuprates) this threshold is raised by the interlayer plasma frequency.

17 pages, 9 figures

References in corpus (6)

• Inelastic Light Scattering From Correlated Electrons
• Coherent dynamics of macroscopic electronic order through a symmetry-breaking transition
• Dynamical properties of ultracold bosons in an optical lattice
• Detecting the Amplitude Mode of Strongly Interacting Lattice Bosons by Bragg Scattering
• Spectroscopy for cold atom gases in periodically phase-modulated optical lattices
• Infrared behavior in systems with a broken continuous symmetry: classical O(N) model vs interacting bosons

Cited by in corpus (142)

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• Quantum and classical criticality in a dimerized quantum antiferromagnet
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• Direct observation of Higgs mode oscillations in the pump-probe photoemission spectra of electron-phonon mediated superconductors
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• Classification and characterization of nonequilibrium Higgs modes in unconventional superconductors
• Longitudinal and Transverse Zeeman Ladders in the Ising-Like Chain Antiferromagnet BaCo2V2O8
• Fate of the Higgs mode near quantum criticality
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• 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
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• Axial Higgs Mode Detected by Quantum Pathway Interference in RTe3
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• Dynamics and Conductivity Near Quantum Criticality
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• Higgs amplitude mode in the vicinity of a $(2+1)$-dimensional quantum critical point
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• Direct observation of the Higgs amplitude mode in a two-dimensional quantum antiferromagnet near the quantum critical point
• Higgs amplitude mode in the vicinity of a $(2+1)$-dimensional quantum critical point: a nonperturbative renormalization-group approach
• Dynamical Conductivity Across The Disorder-Tuned Superconductor-Insulator Transition
• Parametric excitation of an optically silent Goldstone-like phonon mode
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• The amplitude mode in three-dimensional dimerized antiferromagnets
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• Higgs and Goldstone spin-wave modes in striped magnetic texture
• Amplitude mode oscillations in pump-probe photoemission spectra from a d-wave superconductor
• Critical capacitance and charge-vortex duality near the superfluid to insulator transition
• Signatures of the superfluid to Mott insulator transition in equilibrium and in dynamical ramps
• Characterizing two-dimensional superconductivity via nanoscale noise magnetometry with single-spin qubits
• Harnessing Ultraconfined Graphene Plasmons to Probe the Electrodynamics of Superconductors
• A long-lived Higgs mode in a two-dimensional confined Fermi gas
• Excitation Gap Scaling near Quantum Critical Three-Dimensional Antiferromagnets
• Higgs Mode and Magnon Interactions in 2D Quantum Antiferromagnets from Raman Scattering
• Manifestion of structural Higgs and Goldstone modes in the hexagonal manganites
• Lightwave Terahertz Quantum Manipulation of Non-equilibrium Superconductor Phases and their Collective Modes
• Quantum Gutzwiller approach for the two-component Bose-Hubbard model
• Evolution of Higgs mode in a Fermion Superfluid with Tunable Interactions
• Quantum fluctuations beyond the Gutzwiller approximation in the Bose-Hubbard model
• Spectral function of the Higgs mode in 4-\varepsilon dimensions
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• Decay and renormalization of a longitudinal mode in a quasi-two-dimensional antiferromagnet
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• The Higgs Mode of Planar Coupled Spin-Ladders and its Observation in C${}_9$H${}_{18}$N${}_2$CuBr${}_4$
• Superuniversal transport near a $(2+1)$-dimensional quantum critical point
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• Analogue Quantum Simulation: A Philosophical Prospectus
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• Criticality of the Higgs mass for the long-range quantum $XY$ chain: Amplitude ratio between the Higgs and paramagnetic gaps
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