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Plasmons in two-dimensional electron systems with nonparabolic bands, such as graphene, feature strong dependence on electron-electron interactions. We use a many-body approach to relate plasmon dispersion at long wavelengths to Landau…

Mesoscale and Nanoscale Physics · Physics 2013-12-19 L. S. Levitov , A. V. Shtyk , M. V. Feigelman

Motivated by puzzling results of recent experiments, we re-examine the response of a weakly pinned two-dimensional Wigner crystal to a uniform AC electric field. We confirm that at some disorder and magnetic field dependent frequency…

Mesoscale and Nanoscale Physics · Physics 2012-01-25 M. M. Fogler , David A. Huse

We demonstrate that the static structure factor, momentum distribution and density distribution provide clear signatures of the emergence of Wigner crystal for the fermionic dipolar gas with strongly repulsive dipole-dipole interactions…

Quantum Gases · Physics 2012-03-06 Zhihao Xu , Shu Chen

We derive a system of coupled partial differential equations for the equal-time Wigner function in an arbitrary strong electromagnetic field using the Dirac-Heisenberg-Wigner formalism. In the electrostatic limit, we present a 3+1-system of…

Plasma Physics · Physics 2021-07-21 Haidar Al-Naseri , Jens Zamanian , Gert Brodin

Despite numerous applications of two-dimensional plasmons for electromagnetic energy manipulation at the nanoscale, their quantitative refraction and reflection laws (analogs of Fresnel formulas in optics) have not yet been established.…

Optics · Physics 2023-10-10 Dmitry Svintsov , Georgy Alymov

We show that rotational angles of electrons moving in two dimensions (2D) in a perpendicular magnetic field can be synchronized by an external microwave field which frequency is close to the Larmor frequency. The synchronization eliminates…

Mesoscale and Nanoscale Physics · Physics 2007-12-17 A. D. Chepelianskii , A. S. Pikovsky , D. L. Shepelyansky

We present a derivation of the dispersion relation for electrostatic oscillations (ESOs) in a zero temperature quantum plasma. In the latter, degenerate electrons are governed by the Wigner equation, while non-degenerate ions follow the…

Plasma Physics · Physics 2009-11-25 Bengt Eliasson , Padma K. Shukla

Molecular dynamics simulations have been performed to investigate in detail collective modes spectra of two-dimensional Coulomb fluids in a wide range of coupling. The obtained dispersion relations are compared with theoretical approaches…

Plasma Physics · Physics 2018-10-11 S. A. Khrapak , N. P. Kryuchkov , L. A. Mistryukova , A. G. Khrapak , S. O. Yurchenko

We investigate non-perturbative corrections to the large $N$ expansion of the homogeneous electron gas. These are associated with instanton solutions to the effective action of the plasmon field. We show that, although the large field…

Strongly Correlated Electrons · Physics 2022-03-16 Tom Banks , Bingnan Zhang

In the framework of the grand-canonical ensemble of statistical mechanics, we give an exact diagrammatic representation of the density profiles in a classical multicomponent plasma near a dielectric wall. By a reorganization of Mayer…

Statistical Mechanics · Physics 2007-05-23 Jean-Noel Aqua , Francoise Cornu

The dispersion relation of plasma and plasma-dielectric photonic multilayer structures is approached in terms of a one-dimensional Particle-in-Cell simulation. For several plasma-dielectric configurations, the system response is obtained…

Plasma Physics · Physics 2018-11-15 Jan Trieschmann , Thomas Mussenbrock

Using previously developed method of two-dimensional Laplace transform we obtain the characteristic equations k(\omega) for electromagnetic waves in low-collision fully ionized plasma of a plane geometry. We apply here a new, different from…

Plasma Physics · Physics 2007-05-23 V. N. Soshnikov

We calculate the Wigner function for massive spin-1/2 particles in an inhomogeneous electromagnetic field to leading order in the Planck constant $\hbar$. Going beyond leading order in $\hbar$ we then derive a generalized Boltzmann equation…

High Energy Physics - Phenomenology · Physics 2021-02-03 Nora Weickgenannt , Xin-li Sheng , Enrico Speranza , Qun Wang , Dirk H. Rischke

A theoretical analysis is made of the transformation of the dispersion relation of waves in artificial crystals under the influence of loss, including the case of photonic and phononic crystals. Considering a general dispersion relation in…

Optics · Physics 2013-12-25 Vincent Laude , Jose Maria Escalante , Alejandro Martinez

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 show that the plasmon spectrum of an ordinary two-dimensional electron gas (2DEG) hosted in a GaAs heterostructure is significantly modified when a graphene sheet is placed on the surface of the semiconductor in close proximity to the…

Mesoscale and Nanoscale Physics · Physics 2012-08-21 Alessandro Principi , Matteo Carrega , Reza Asgari , Vittorio Pellegrini , Marco Polini

We solve {\bf analytically} the multiple scattering (KKR) equations for the two dimensional photonic crystals in the long wavelength limit. Different approximations of the electric and magnetic susceptibilities are presented from a unified…

Materials Science · Physics 2009-11-13 S. T. chui , Z. F. Lin

The accurate calculation of excited state properties of interacting electrons in the condensed phase is an immense challenge in computational physics. Here, we use state-of-the-art equation-of-motion coupled-cluster theory with single and…

Chemical Physics · Physics 2019-07-10 Alan M. Lewis , Timothy C. Berkelbach

Colloidal fluids can exhibit complex phase behavior and determining phase diagrams via experiments or computer simulations can be laborious. We demonstrate that the dispersion relation $\omega(k)$, obtained from dynamical density functional…

Soft Condensed Matter · Physics 2026-03-20 Michael Wassermair , Gerhard Kahl , Roland Roth , Andrew J. Archer

The dynamical and nonlocal dielectric function of a two-dimensional electron gas (2DEG) with finite energy bandwidth is computed within random-phase approximation. For large bandwidth, the plasmon dispersion has two separate branches at…

Mesoscale and Nanoscale Physics · Physics 2020-09-16 Kaveh Khaliji , Tobias Stauber , Tony Low