Generic optical excitations of correlated systems: $\pi$-tons

Abstract

The interaction of light with solids gives rise to new bosonic quasiparticles, with the exciton being---undoubtedly---the most famous of these polaritons. While excitons are the generic polaritons of semiconductors, we show that for strongly correlated systems another polariton is prevalent---originating from the dominant antiferromagnetic or charge density wave fluctuations in these systems. As these are usually associated with a wave vector $\mathbf{k}=(\pi ,\pi ,\dots )$ or close to it, we propose to call the derived polaritons $\pi$-tons. These $\pi$-tons yield the leading vertex correction to the optical conductivity in all correlated models studied: the Hubbard, the extended Hubbard model, the Falicov-Kimball, and the Pariser-Parr-Pople model, both in the insulating and in the metallic phase.

6 pages, 3 figures + Supplemental Material (6 pages, 8 figures)

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• Fingerprints of the local moment formation and its Kondo screening in the generalized susceptibilities of many-electron problems
• Hamiltonian Simulation Algorithms for Near-Term Quantum Hardware
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• Quantitative functional renormalization-group description of the two-dimensional Hubbard model
• Coexisting charge density wave and ferromagnetic instabilities in monolayer InSe
• Boson-Exchange Parquet Solver for dual fermions
• Impact of partially bosonized collective fluctuations on electronic degrees of freedom
• Charge transport in the Hubbard model at high temperatures: triangular versus square lattice
• Interplay between local response and vertex divergences in many-fermion systems with on-site attraction
• Tiling with triangles: parquet and $GW\gamma$ methods unified
• Self-consistent ladder D$\Gamma$A approach
• Single boson exchange representation of the functional renormalization group for strongly interacting many-electron systems
• How to read between the lines of electronic spectra: the diagnostics of fluctuations in strongly correlated electron systems
• Solving the Bethe-Salpeter equation with exponential convergence
• Highly nonperturbative nature of the Mott metal-insulator transition: Two-particle vertex divergences in the coexistence region
• Skewed Non-Fermi Liquids and the Seebeck Effect
• The dynamical vertex approximation for many-electron systems with spontaneously broken SU(2)-symmetry
• Interpretable and unsupervised phase classification
• Strongly correlated superconductivity with long-range spatial fluctuations
• Nonequilibrium Two-Particle Self-Consistent Approach
• Diagrammatic study of optical excitations in correlated systems
• Parquet dual fermion approach for the Falicov-Kimball model
• Single-boson exchange functional renormalization group application to the two-dimensional Hubbard model at weak coupling
• Dynamical Mean Field Theory extension to the nonequilibrium Two-Particle Self-Consistent approach
• Non-equilibrium evolution of the optical conductivity of the weakly interacting Hubbard model: Drude response and $\pi$-ton type vertex corrections
• LinReTraCe: The Linear Response Transport Centre
• General Shiba mapping for on-site four-point correlation functions
• Simplified approach to the magnetic blue shift of Mott gaps
• Subleading logarithmic behavior in the parquet formalism
• Two Channel Kondo behavior in the quantum XX chain with a boundary defect
• The finite-difference parquet method: Enhanced electron-paramagnon scattering opens a pseudogap
• Displaced Drude peak from $\pi$-ton vertex corrections
• Nonequilibrium DMFT approach to time-resolved Raman spectroscopy
• Beyond-quasiparticle transport with vertex correction: self-consistent ladder formalism for electron-phonon interactions
• A functional-analysis derivation of the parquet equation
• Broadening and sharpening of the Drude peak through antiferromagnetic fluctuations
• Multi-band D-TRILEX approach to materials with strong electronic correlations
• Prototypical many-body signatures in transport properties of semiconductors
• Analytical expression for $\pi$-ton vertex contributions to the optical conductivity