Higgs and Nambu-Goldstone modes in condensed matter physics
arXiv:2310.17148 · doi:10.1016/B978-0-323-90800-9.00256-0
Abstract
Collective dynamics of many particle systems is tightly linked to their underlying symmetry and phase transitions. Higgs and Nambu-Goldstone modes are, respectively, collective amplitude and phase modes of the order parameter that are widely observed in various physical systems at different energy scales, ranging from magnets, superfluids, superconductors to our universe. The Higgs mode is a massive excitation, which is a condensed-matter analog of Higgs particle in high-energy physics, while the Nambu-Goldstone mode is a massless excitation that appears when a continuous symmetry is spontaneously broken. They provide important information on the fundamental aspects of many particle systems, such as symmetry, phases, dynamics, response to external fields, and so on. In this article, we review the physics of Higgs and Nambu-Goldstone modes in condensed matter physics. Especially, we focus on the development on the study of collective modes in superconductors and cold-atom systems.
arXiv comment12 pages, 7 figures
References in corpus (37)
- Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
- Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
- Observation of resonance condensation of fermionic atom pairs
- Condensation of Pairs of Fermionic Atoms Near a Feshbach Resonance
- Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
- Higgs Amplitude Mode in BCS Superconductors NbTiN induced by Terahertz Pulse Excitation
- Amplitude / Higgs Modes in Condensed Matter Physics
- The `Higgs' Amplitude Mode at the Two-Dimensional Superfluid-Mott Insulator Transition
- Unified Description of Nambu-Goldstone Bosons without Lorentz Invariance
- Quantum Magnets under Pressure: Controlling Elementary Excitations in TlCuCl3
- Coherent dynamics of macroscopic electronic order through a symmetry-breaking transition
- Higgs Mode in Superconductors
- Field- and pressure-induced magnetic quantum phase transitions in TlCuCl_3
- Theory of Anderson pseudospin resonance with Higgs mode in superconductors
- Counting rule for Nambu-Goldstone modes in nonrelativistic systems
- Non-linear optical effects and third-harmonic generation in superconductors: Cooper-pairs vs Higgs mode contribution
- Nonthermal antiferromagnetic order and nonequilibrium criticality in the Hubbard model
- Higgs mode in the d-wave superconductor Bi2Sr2CaCu2O8+x driven by an intense terahertz pulse
- Phase-resolved Higgs response in superconducting cuprates
- Goldstone mode and pair-breaking excitations in atomic Fermi superfluids
- The Higgs mode in a two-dimensional superfluid
- Higgs mode in a strongly interacting fermionic superfluid
- Nonlinear electromagnetic response and Higgs mode excitation in BCS superconductors with impurities
- Nonequilibrium dynamics of weakly and strongly paired superconductors
- Classification and characterization of nonequilibrium Higgs modes in unconventional superconductors
- Nonthermal symmetry broken states in the strongly interacting Hubbard model
- Nonlinear optical response of collective modes in multiband superconductors assisted by nonmagnetic impurities
- Third harmonic generation from collective modes in disordered superconductors
- Light Quantum Control of Persisting Higgs Modes in Iron-Based Superconductors
- Higgs-mode resonance in third harmonic generation in NbN superconductors: multiband electron-phonon coupling, impurity scattering, and polarization-angle dependence
- Superconducting fluctuations probed by the Higgs mode in BiSrCaCuO thin films
- Band-selective third-harmonic generation in superconducting MgB: Possible evidence for Higgs amplitude mode in the dirty limit
- Quasiclassical Theory on Third-Harmonic Generation in Conventional Superconductors with Paramagnetic Impurities
- Longitudinal magnetic excitation in KCuCl3 studied by Raman scattering under hydrostatic pressures
- Fano resonance through Higgs bound states in tunneling of Nambu-Goldstone modes
- Excitation of the Higgs Mode in a Superfluid Fermi Gas in the BCS-BEC Crossover
- Perfect transmission of Higgs modes via antibound states