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The dynamical dielectric function of two dimensional graphene at arbitrary wave vector $q$ and frequency $\omega$, $\epsilon(q,\omega)$, is calculated in the self-consistent field approximation. The results are used to find the dispersion…

Strongly Correlated Electrons · Physics 2008-05-19 E. H. Hwang , S. Das Sarma

Under certain conditions, Hg(Cd)Te quantum wells (QWs) are known to realize a time-reversal symmetric, two-dimensional topological insulator phase. Its low-energy excitations are well-described by the phenomenological Bernevig-Hughes-Zhang…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Stefan Juergens , Paolo Michetti , Björn Trauzettel

HgTe quantum wells with a thickness of ${\sim}$7 nm may have a graphene-like band structure and have been recently proposed to be potential candidates for quantum Hall effect (QHE) resistance standards under the condition of operation in…

We theoretically study the dynamic screening properties of bilayer graphene within the random phase approximation assuming quadratic band dispersion and zero gap for the single-particle spectrum. We calculate the frequency dependent…

Materials Science · Physics 2010-11-18 Rajdeep Sensarma , E. H. Hwang , S. Das Sarma

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

Quantum wells (QWs) based on mercury telluride (HgTe) thin films provide a large scale of unusual physical properties starting from an insulator via a two-dimensional Dirac semimetal to a three-dimensional topological insulator. These…

Mesoscale and Nanoscale Physics · Physics 2021-09-29 Jan Gospodaric , Alexey Shuvaev , Nikolai N. Mikhailov , Ze D. Kvon , Elena G. Novik , Andrei Pimenov

We calculate the long-wavelength static screening properties of both neutral and doped graphene in the framework of density-functional theory. We use a plane-wave approach with periodic images in the third dimension and truncate the Coulomb…

Materials Science · Physics 2015-05-20 Thibault Sohier , Matteo Calandra , Francesco Mauri

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

We have investigated the conditions necessary to achieve stronger Cherenkov-like instability of plasma waves leading to emission in the terahertz (THz) regime for semiconductor quantum wells (QWs). The surface response function is…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Antonios Balassis , Godfrey Gumbs

The HgTe quantum well (QW) is a well-characterized two-dimensional topological insulator (2D-TI). Its band gap is relatively small (typically on the order of 10 meV), which restricts the observation of purely topological conductance to low…

Materials Science · Physics 2016-08-24 Philipp Leubner , Lukas Lunczer , Christoph Brüne , Hartmut Buhmann , Laurens W. Molenkamp

We present the first experimental study of the double-quantum-well (DQW) system made of 2D layers with inverted energy band spectrum: HgTe. The magnetotransport reveals a considerably larger overlap of the conduction and valence subbands…

Mesoscale and Nanoscale Physics · Physics 2016-03-14 M. V. Yakunin , A. V. Suslov , M. R. Popov , E. G. Novik , S. A. Dvoretsky , N. N. Mikhailov

Exploiting the spin resonance of two-dimensional (2D) electrons in SiGe/Si quantum wells we determine the carrier-density-dependence of the magnetic susceptibility. Assuming weak interaction we evaluate the density of states at the Fermi…

Condensed Matter · Physics 2009-10-31 Z. Wilamowski , N. Sandersfeld , W. Jantsch , D. Toebben , F. Schaeffler

We present the analysis of high-frequency (dynamic) conductivity with the spatial dispersion, $\sigma (\omega, {\bf q})$, of two-dimensional electron gas subjected to a high electric field. We found that at finite wavevector, ${\bf q}$, and…

Applied Physics · Physics 2019-04-19 V. V. Korotyeyev , V. A. Kochelap , S. Danylyuk , L. Varani

We report the studies of high-quality HgTe/(Cd,Hg)Te quantum wells (QWs) with a width close to the critical one $d_c$, corresponding to the topological phase transition and graphene like band structure in view of their applications for…

The thermoelectric transport coefficients of electrons in two recently emerged transition metal dichalcogenides(TMD), MoS2 and WSe2, are calculated by solving Boltzmann Transport equation and coupled electrical and thermal current equations…

Materials Science · Physics 2015-10-28 Krishnendu Ghosh , Uttam Singisetti

We study the interplay between Dirac and Schr\"odinger fermions in the polarization properties of a two-dimensional electron gas (2DEG). Specifically, we analyze the low-energy sector of narrow-gap semiconductors described by a two-band…

Mesoscale and Nanoscale Physics · Physics 2014-02-28 Stefan Juergens , Paolo Michetti , Björn Trauzettel

Electron mobility, energy spectra and intrinsic carrier concentrations in the n-type Hg0.32Cd0.68Te / Hg1-xCdxTe / Hg0.32Cd0.68Te quantum well (QW) in semi-metallic state are numerically modeled. Energy spectra and wave functions were…

Materials Science · Physics 2015-11-25 E. O. Melezhik , J. V. Gumenjuk-Sichevska , F. F. Sizov

Quantum Hall effect (QHE) is a macroscopic manifestation of quantized states which only occurs in confined two-dimensional electron gas (2DEG) systems. Experimentally, QHE is hosted in high mobility 2DEG with large external magnetic field…

Materials Science · Physics 2018-10-17 Gang Qiu , Yixiu Wang , Yifan Nie , Yongping Zheng , Kyeongjae Cho , Wenzhuo Wu , Peide D. Ye

Gate-tunable high-mobility InSb/In_{1-x}Al_{x}Sb quantum wells (QWs) grown on GaAs substrates are reported. The QW two-dimensional electron gas (2DEG) channel mobility in excess of 200,000 cm^{2}/Vs is measured at T=1.8K. In asymmetrically…

High-frequency transport in the edge states of the quantum spin Hall (QSH) effect has to date rarely been explored, though it could cast light on the scattering mechanisms taking place therein. We here report on the measurement of the…

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