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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…

The collective electronic properties of various types of pseudospin-$1$ Dirac-cone materials with a flat band and finite bangaps in their energy spectra are the subject of our reported investigation. Specifically, we have calculated the…

Mesoscale and Nanoscale Physics · Physics 2024-09-27 Liubov Zhemchuzhna , Andrii Iurov , Godfrey Gumbs , Danhong Huang

We study the collective charge-density modes (plasmons) of two-dimensional nonsymmorphic Dirac semimetals, within the random-phase approximation (RPA) in presence of Coulomb interaction. Without loss of generality, we consider a system in a…

Mesoscale and Nanoscale Physics · Physics 2023-02-23 Debasmita Giri , Arijit Kundu

We consider the plasmon excitations in anisotropic two-dimensional Dirac systems, be it either anisotropic graphene or surfaces of topological insulators. Generalizing the exact density-density response function one finds a plasmon…

Materials Science · Physics 2021-02-10 Roland Hayn , Te Wei , Vyacheslav M. Silkin , Jeroen van den Brink

We calculate the polarization function of Dirac fermions in metallic armchair graphene nanoribbons for an arbitrary temperature and doping. We find that at finite temperatures due to the phase space redistribution among inter-band and…

Mesoscale and Nanoscale Physics · Physics 2015-07-22 A. A. Shylau , S. M. Badalyan , F. M. Peeters , A. P. Jauho

We explore the collective density oscillations of a collection of charged massive Dirac particles, in one, two and three dimensions and their one dimensional superlattice. We calculate the long wavelength limit of the dynamical polarization…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Rashi Sachdeva , Anmol Thakur , Giovanni Vignale , Amit Agarwal

We have studied the dynamical polarization and collective excitations in an anisotropic two-dimensional system undergoing a quantum phase transition with merging of two Dirac points. Analytical results for the one-loop polarization function…

Mesoscale and Nanoscale Physics · Physics 2016-03-01 P. K. Pyatkovskiy , Tapash Chakraborty

The electromagnetic response of graphene, expressed by the dielectric function, and the spectrum of collective excitations are studied as a function of wave vector and frequency. Our calculation is based on the full band structure,…

Strongly Correlated Electrons · Physics 2009-09-03 A. Hill , S. A. Mikhailov , K. Ziegler

Two-dimensional (2D) semi-Dirac materials feature a unique anisotropic band structure characterized by quadratic dispersion along one spatial direction and linear dispersion along the other, effectively hybridizing ordinary and Dirac…

Mesoscale and Nanoscale Physics · Physics 2025-10-09 Xin Chen , Jian-Tong Hou , Long Liang , Jie Lu , Hong Guo , Chang-Xu Yan , Hao-Ran Chang

We study the density-density response function of a collection of charged massive Dirac particles and present analytical expressions for the dynamical polarization function in one, two and three dimensions. The polarization function is then…

Mesoscale and Nanoscale Physics · Physics 2017-02-28 Anmol Thakur , Rashi Sachdeva , Amit Agarwal

We study spectra of long wavelength plasma oscillations in a system of two energy splitted one-dimensional (1D) massless Dirac fermion subbands coupled by spin-orbit interaction. Such a system may be formed by edge subbands in…

Mesoscale and Nanoscale Physics · Physics 2018-10-24 V. V. Enaldiev

The plasmon frequency in standard electron gases with a parabolic single-particle dispersion is a purely classical quantity that is not sensitive to electron interactions or the equation of state. We demonstrate that this canonical result…

Mesoscale and Nanoscale Physics · Physics 2019-12-25 Johannes Hofmann

The one-loop polarization function of graphene has been calculated at zero temperature for arbitrary wavevector, frequency, chemical potential (doping), and band gap. The result is expressed in terms of elementary functions and is used to…

Strongly Correlated Electrons · Physics 2008-12-12 P. K. Pyatkovskiy

The collective excitation of surface plasmons in a massless Dirac plasma (e.g., graphene) half-space (bounded by air) is investigated using a relativistic quantum fluid model. The unique features of such surface waves are discussed and…

Plasma Physics · Physics 2018-07-04 M. Shahmansouri , R. Aboltaman , A. P. Misra

We investigate the electronic properties of the semi-Dirac system and its polaronic dynamics when coupled with a fermi bath with quadratic dispersion. The electronic anisotropic transport properties and the semiclassical dynamics of the…

Quantum Gases · Physics 2020-04-22 Chen-Huan Wu

Hexagonal warping provides an anisotropy to the dispersion curves of the helical Dirac fermions that exist at the surface of a topological insulator. A sub-dominant quadratic in momentum term leads to an asymmetry between conduction and…

Mesoscale and Nanoscale Physics · Physics 2014-01-21 J. P. F. LeBlanc , J. P. Carbotte

We obtained numerical and closed-form analytic expressions for finite-temperature plasmon dispersion relations for intrinsic graphene in the presence of a finite energy gap in the energy spectrum. The calculations were carried out using the…

Mesoscale and Nanoscale Physics · Physics 2015-04-20 Andrii Iurov , Godfrey Gumbs , Danhong Huang , V. Silkin

We study the dynamical polarization function and plasmon modes for spin-orbit coupled noncentrosymmetric metals (NCMs). These systems have different Fermi surface topology for Fermi energies above and below the spin degenerate point which…

Mesoscale and Nanoscale Physics · Physics 2020-12-07 Sonu Verma , Arijit Kundu , Tarun Kanti Ghosh

In this study we report our numerical results on finite temperature non-interacting dynamical polarization function, plasmon modes and electron energy loss function of doped single layer gapped graphene within the random phase…

Mesoscale and Nanoscale Physics · Physics 2015-04-07 Digish K. Patel , Syed S. Z. Ashraf , Ami C. Sharma

Solving the initial value problem for semiclassical equations that describe two-dimensional electrons with the Dirac spectrum we found that collective excitations of the electrons are composed by a few distinct components of the…

Mesoscale and Nanoscale Physics · Physics 2015-07-28 S. M. Kukhtaruk , V. A. Kochelap
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