Optical conductivity near finite-wavelength quantum criticality

Abstract

We study the optical conductivity sigma(Omega) of an electron system near a quantum-critical point with finite-wavelength ordering. sigma(Omega) vanishes in clean Galilean-invariant systems, unless electrons are coupled to dynamical collective modes, which dissipate the current. This coupling introduces a nonuniversal energy scale. Depending on the parameters of each specific system, a variety of responses arise near criticality: scaling peaks at a temperature- and doping-dependent frequency, peaks at a fixed frequency, or no peaks to be associated with criticality. Therefore the lack of scaling in the far-infrared conductivity in cuprates does not necessarily call for new concepts of quantum criticality.

arXiv comment4 pages, 4 figures; version as published

References in corpus (20)

• Singular quasiparticle scattering in the proximity of charge instabilities
• Powerlaw optical conductivity with a constant phase angle in high Tc superconductors
• Soft Fermi Surfaces and Breakdown of Fermi Liquid Behavior
• Hall Effect and Resistivity in High-Tc Superconductors: The Conserving Approximation
• Anomalous isotopic effect near the charge-ordering quantum criticality
• Theories of non-Fermi liquid behavior in heavy fermions
• Inversion of K${}_3$C${}_{60}$ Reflectance Data
• The a-axis optical conductivity of detwinned ortho-II YBa_2Cu_3O_6.50
• Electron Dynamics in Nd${}_{1.85}$Ce${}_{.15}$CuO${}_{4+\delta }$: Evidence for the Pseudogap State and Unconventional c-axis Response
• Extracting the electron--boson spectral function ${\alpha }^2$F($\omega$) from infrared and photoemission data using inverse theory
• Infrared signatures of charge stripes in La(2-x)Sr(x)CuO(4)
• Stripe formation: A quantum critical point for cuprate superconductors
• Breakdown of One-Paramater Scaling in Quantum Critical Scenarios for the High-Temperature Copper-oxide Superconductors
• High Frequency Behavior of the Infrared Conductivity of Cuprates
• In-plane polarized collective modes in detwinned YBa${}_2$Cu${}_3$O${}_{6.95}$ observed by spectral ellipsometry
• Spectral properties of incommensurate charge-density wave systems
• Anomalous oxygen isotope effect on the in-plane FIR conductivity of detwinned YBa2Cu3${}^{16,18}$O${}_{6.9}$
• Marginal Fermi liquid analysis of 300 K reflectance of Bi2Sr2CaCu2O8+x
• Quasiparticles in high temperature superconductors: consistency of angle resolved photoemission and optical conductivity
• Interpretation of the in-plane infrared response of the high-Tc cuprate superconductors involving spin fluctuations revisited

Cited by in corpus (14)

• Electrodynamics of Correlated Electron Materials
• Dynamical charge density waves rule the phase diagram of cuprates
• Quantum critical behavior of electrons at the edge of charge order
• Stripes in cuprate superconductors: Excitations and dynamic dichotomy
• Optical Conductivity of the two dimensional Hubbard model: vertex corrections, emergent Galilean invariance and the accuracy of the single-site dynamical mean field approximation
• Kinks and waterfalls as signatures of competing order in angle-resolved photoemission spectra of La_{2-x}Sr_xCuO_4
• Signatures of nematic quantum critical fluctuations in the Raman spectra of lightly doped cuprates
• Spectral signatures of critical charge and spin fluctuations in cuprates
• Optical and Hall conductivities of a thermally disordered two-dimensional spin-density wave: two-particle response in the pseudogap regime of electron-doped high-$T_c$ superconductors
• Electronic relaxation rates in metallic ferromagnets
• Theories for charge-driven nematicity in kagome metals
• On the contribution of nearly-critical spin and charge collective modes to the Raman spectra of high-Tc cuprates
• Low-energy signatures of charge and spin fluctuations in Raman and optical spectra of the cuprates
• Spectroscopic evidences of quantum critical charge fluctuations in cuprates