Finite-temperature plasmons, damping and collective behavior for $\alpha -{\mathcal{T}}_3$ model

Abstract

We have conducted a thorough theoretical and numerical investigation of the electronic susceptibility, polarizability, plasmons, their damping rates, as well as the static screening in pseudospin-1 Dirac cone materials with a flat band, or for a general $\alpha -{\mathcal{T}}_3$ model, at finite temperatures. This includes calculating the polarization function, plasmon dispersions and their damping rates at arbitrary temperatures and obtaining analytical approximations the long wavelength limit, low and high temperatures. We demonstrate that the integral transformation of the polarization function cannot be used directly for a dice lattice revealing some fundamental properties and important applicability limits of the flat band dispersions model. At $k_{B}T\ll E_F$, the largest temperature-induced change of the polarization function and plasmons comes from the mismatch between the chemical potential and the Fermi energy. We have also obtained a series of closed-form semi-analytical expressions for the static limit of the polarization function of an arbitrary $\alpha -{\mathcal{T}}_3$ material at any temperature with exact analytical formulas for the high, low and zero temperature limits which is of tremendous importance for all types of transport and screening calculations for the flat band Dirac materials.

arXiv comment19 pages, 8 figures

References in corpus (68)

• Electronic transport in two dimensional graphene
• Graphene plasmonics
• Plasmonics in graphene at infra-red frequencies
• Dielectric function, screening, and plasmons in 2D graphene
• Quantum Plasmonics
• Graphene Plasmonics: Challenges and Opportunities
• Manipulating infrared photons using plasmons in transparent graphene superlattices
• Dynamical polarization of graphene at finite doping
• Magneto-optical conductivity in Graphene
• Dirac fermions and flat bands in the ideal kagome metal FeSn
• Observation of a localized flat-band state in a photonic Lieb lattice
• Artificial flat band systems: from lattice models to experiments
• Aharonov-Bohm cages in two-dimensional structures
• Plasmons in graphene: Recent progress and applications
• Tuning quantum non-local effects in graphene plasmonics
• Geometric origin of superfluidity in the Lieb lattice flat band
• Nearly flat band with Chern number C=2 on the dice lattice
• An Introduction to Graphene Plasmonics
• Screening induced temperature dependent transport in 2D graphene
• 3D massless Kane fermions observed in a zinc-blende crystal
• From dia- to paramagnetic orbital susceptibility of Dirac cones
• All-Optical Generation of Surface Plasmons in Graphene
• Dynamical polarization, screening, and plasmons in gapped graphene
• Orbital-selective Dirac fermions and extremely flat bands in frustrated kagome-lattice metal CoSn
• Screening, Kohn anomaly, Friedel oscillation, and RKKY interaction in bilayer graphene
• Broadband gate-tunable THz plasmons in graphene heterostructures
• Efficient nonlinear generation of THz plasmons in graphene and topological insulators
• How to escape Aharonov-Bohm cages ?
• The Coulomb interaction in monolayer transition-metal dichalcogenides
• Surface plasmon polaritons in topological Weyl semimetals
• Magnetic field induced localization in a two-dimensional superconducting wire network
• Plasmons and screening in a monolayer of MoS${}_2$
• Magnetic properties of the $\alpha$-$T_3$ model: magneto-optical conductivity and the Hofstadter butterfly
• Dynamical Polarization Function, Plasmons and Screening in Silicene and Other Buckled Honeycomb Lattices
• Effect of nonhomogenous dielectric background on the plasmon modes in graphene double-layer structures at finite temperatures
• Intrinsic plasmons in 2D Dirac materials
• Peculiar electronic states, symmetries and Berry phases in irradiated $\alpha$-$T_3$ materials
• Frequency-dependent polarizability, plasmons, and screening in the 2D pseudospin-1 dice lattice
• Photoinduced valley and electron-hole symmetry breaking in $\alpha$-$T_3$ lattice: The role of a variable Berry phase
• Magnetotransport properties of the $\alpha$-T${}_3$ model
• Floquet topological phase transition in $\alpha$-${\mathcal{T}}_3$ lattice
• Spin and valley polarization of plasmons in silicene due to external fields
• Valley-polarized magnetoconductivity and particle-hole symmetry breaking in a periodically modulated $\alpha$-${\mathcal{T}}_3$ lattice
• Electron states for gapped pseudospin-1 fermions in the field of charged impurity
• Dynamical polarization of monolayer graphene in a magnetic field
• Dynamical screening in bilayer graphene
• Quantum-statistical theory for laser-tuned transport and optical conductivities of dressed electrons in $α-\mc{T}_3$ materials
• Dielectric function, screening, and plasmons of graphene in the presence of spin-orbit interactions
• Dynamics of a quasiparticle in the $\alpha$-T${}_3$ model: Role of pseudospin polarization and transverse magnetic field on \textbf{\textit{zitterbewegung}}
• Anisotropic longitudinal optical conductivities of tilted Dirac bands in 1T${}^{\prime }$-MoS${}_2$
• Epsilon-Near-Zero behavior from plasmonic Dirac point: theory and realization using two-dimensional materials
• Driven conductance of an irradiated semi-Dirac material
• Generalized WKB theory for electron tunneling in gapped $\alpha -{\mathcal{T}}_3$ lattices
• Dynamical correlation functions and the related physical effects in three-dimensional Weyl/Dirac semimetals
• Many-Body Effects and Optical Properties of Single- and Double Layer $\alpha$-${\mathcal{T}}_3$ Lattices
• Interplay of Lorentz-Berry forces in position-momentum spaces for valley-dependent impurity scattering in alpha-T3 lattices
• Optical response of two-dimensional Dirac materials with a flat band
• Plasmon dissipation in gapped-graphene open systems at finite temperature
• Theroy of anisotropic plasmons
• Controlling plasmon modes and damping in buckled two-dimensional material open systems
• Screening of a charged impurity in graphene in a magnetic field
• Self-consistent quantum-kinetic theory for interplay between pulsed-laser excitation and nonlinear carrier transport in a quantum-wire array
• Quantum-Electron Back Action on Hybridization of Radiative and Evanescent Field Modes
• Plasmons in anisotropic Dirac systems
• Entropy Signatures of Topological Phase Transitions
• Coulomb impurity on a Dice lattice: atomic collapse and bound states
• Combined effect of doping and temperature on the anisotropy of low-energy plasmons in monolayer graphene
• Current distribution and group velocities for electronic states on $\alpha -{\mathcal{T}}_3$ lattice ribbons in a magnetic field

Cited by in corpus (9)

• Probing Topological signatures in an optically driven $\alpha$-$T_3$ Lattice
• Dynamical optical conductivity for gapped $\alpha -{\mathcal{T}}_3$ materials with a curved "flat" band
• Optical conductivity of bilayer dice lattices
• Effect of magnetic field on the electronic properties of an $\alpha$-$T_3$ ring
• Orbital magnetization senses the topological phase transition in a spin-orbit coupled $\alpha$-$T_3$ system
• Plasmons in Z2 Topological Insulators
• Influence of Dynamical Floquet Spectrum on the Plasmon Excitations and Exchange Energy of tilted monolayer 1T${}^{\prime }$MoS${}_2$
• Possible realization of hyperbolic plasmons in a few-layered rhenium disulfide
• Interband plasmons due to Mexican hat dispersion in two-dimensional materials with inverted bands