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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

A model of 2D massive Dirac fermions, interacting with a instantaneous $1/r$ Coulomb interaction, is presented to mimic the physics of gapped graphene. The static polarization function is calculated explicitly to analyze screening effect at…

Other Condensed Matter · Physics 2015-05-20 Jia-Ning Zhang

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…

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

We have calculated the dynamical polarization, plasmons and damping rates in semi-Dirac bands (SDB's) with zero band gap and half-linear, half-parabolic low-energy spectrum. The obtained plasmon dispersions are strongly anisotropic and…

Mesoscale and Nanoscale Physics · Physics 2023-12-27 Gabrielle Ross-Harvey , Andrii Iurov , Liubov Zhemchuzhna , Godfrey Gumbs , Danhong Huang

In the presence of an external vertical electric field and strain, it is evident that 1T${^\prime}$-MoS$_2$ exhibits tilted Dirac bands which are valley-spin-polarized. Additionally, this material experiences a topological phase change…

Mesoscale and Nanoscale Physics · Physics 2022-08-31 Antonios Balassis , Godfrey Gumbs , Oleksiy Roslyak

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 dynamic polarizability under the random phase approximation for the dice lattice. This two-dimensional system gives rise to massless Dirac fermions with pseudospin-1 in the low-energy quantum excitation spectrum, providing…

Mesoscale and Nanoscale Physics · Physics 2016-05-04 John D. Malcolm , Elisabeth J. Nicol

We compute the polarization function in a doped three-dimensional anisotropic-Weyl semimetal, in which the fermion energy dispersion is linear in two components of the momenta and quadratic in the third. Through detailed calculations, we…

Strongly Correlated Electrons · Physics 2017-06-13 Jing-Rong Wang , Guo-Zhu Liu , Chang-Jin Zhang

We investigate the density and optical responses of a linear triple component fermionic system in both non-interacting and interacting regimes by computing its dynamical polarization function, RPA dielectric function, plasmon mode and long…

Mesoscale and Nanoscale Physics · Physics 2022-04-20 Bashab Dey , Tarun Kanti Ghosh

We discuss the dynamical polarization with finite momentum and frequency in the presence of many-electron effect, including the screened Coulomb interaction, self-energy and vertex correction. The longitudinal conductivity, screened Coulomb…

Mesoscale and Nanoscale Physics · Physics 2018-08-21 Chen-Huan Wu

We consider two-dimensional massless Dirac operators in a radially symmetric electromagnetic field. In this case the fields may be described by one-dimensional electric and magnetic potentials $V$ and $A$. We show dynamical localization in…

Mathematical Physics · Physics 2015-04-17 Jean-Marie Barbaroux , Josef Mehringer , Edgardo Stockmeyer , Amal Taarabt

We develop a theory for the long-wavelength plasma oscillation of a collection of charged massless Dirac particles in a solid, as occurring for example in doped graphene layers, interacting via the long-range Coulomb interaction. We find…

Mesoscale and Nanoscale Physics · Physics 2009-05-22 S. Das Sarma , E. H. Hwang

We explore the dielectric properties of graphene-like two-dimensional Kane-Mele topological insulators manifest in buckled honeycomb lattices (ex. silicene, germanene, etc.). The effect of an onsite potential difference ($\Delta_z$) between…

Mesoscale and Nanoscale Physics · Physics 2014-05-19 Calvin J. Tabert , Elisabeth J. Nicol

We employ density functional theory to study in detail the crystallization of super-paramagnetic particles in two dimensions under the influence of an external magnetic field that lies perpendicular to the confining plane. The field induces…

Soft Condensed Matter · Physics 2009-11-13 Sven van Teeffelen , Hartmut Löwen , Christos N. Likos

We consider theoretically as a function of temperature the plasmon mode arising in three-dimensional Dirac liquids, i.e., systems with linear chiral relativistic single-particle dispersion, within the random phase approximation. We find…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Johannes Hofmann , S. Das Sarma

We discuss the dynamical polarization, optical response in low-frequency regime under in-plane polarized driving field of the silicene. The dynamical polarization, dielectric function, and absorption of radiation in infrared region are…

Materials Science · Physics 2018-08-13 Chen-Huan Wu

The plasmonic character of monolayer silicene is investigated by time-dependent density functional theory in the random phase approximation. The energy-loss function of the system is analyzed, with particular reference to its induced…

Strongly Correlated Electrons · Physics 2017-02-17 C. Vacacela Gomez , M. Pisarra , M. Gravina , P. Riccardi , A. Sindona

Two-dimensional classical cluster of particles interacting through a screened Coulomb potential is studied. This system can be used as a model for "dusty particles" in high-frequency discharge plasma. For systems consisting of N = 2 - 40…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 G. E. Astrakharchik , A. I. Belousov , Yu. E. Lozovik

Polarizability plays an essential role in characterizing key phenomena, such as the screening effects, collective excitations, and dielectric functions present in the system. In three-dimensional materials, it typically comprises an…

Mesoscale and Nanoscale Physics · Physics 2025-10-15 Vivek Pandey , Snehasish Nandy , Pankaj Bhalla
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