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We derive a nonsymmetrized 8-band effective-mass Hamiltonian for quantum-dot heterostructures (QDHs) in Burt's envelope-function representation. The 8x8 radial Hamiltonian and the boundary conditions for the Schroedinger equation are…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 E. P. Pokatilov , V. A. Fonoberov , V. M. Fomin , J. T. Devreese

Electron-hole correlation in quantum-dot quantum wells (QDQW's) is investigated by incorporating Coulomb and exchange interactions into an empirical tight-binding model. Sufficient electron and hole single-particle states close to the band…

Materials Science · Physics 2009-11-10 Rui-Hua Xie , Garnett W. Bryant , Seungwon Lee , W. Jaskolski

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 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

The 2D system of electron confined to the lowest Landau level is described using a representation of the density matrix depending both on electron and hole coordinates. Condensation of the electron system into a fractional quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 P. Beran

We modeled the electron and hole states in Si/SiO2 quantum wells within a basis of standing waves using the 30-band k.p theory. The hard-wall confinement potential is assumed, and the influence of the peculiar band structure of bulk silicon…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Nemanja A. Cukaric , Milan Z. Tadic , Bart Partoens , F. M. Peeters

Polar optical phonons are studied in the framework of the dielectric continuum approach for a prototypical quantum-dot/quantum-well (QD/QW) heterostructure, including the derivation of the electron-phonon interaction Hamiltonian and a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 F. Comas , Nelson Studart

We calculate ground and excited electron and hole levels in spherical Si quantum dots inside SiO$_2$ in a multiband effective mass approximation. Luttinger Hamiltonian is used for holes and the strong anisotropy of the conduction electron…

Materials Science · Physics 2007-08-23 A. S. Moskalenko , J. Berakdar , A. A. Prokofiev , I. N. Yassievich

Electron, hole, and exciton states of multishell CdS/HgS/CdS quantum-dot quantum well nanocrystals are determined by use of a multiband theory that includes valence-band mixing, modeled with a 6-band Luttinger-Kohn Hamiltonian, and…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 W. Jaskolski , Garnett W. Bryant

Spherical shaped Si quantum dots (QDs) embedded into the SiO2 substrate are considered in the single sub-band effective mass approach. Nonparabolicity of the Si conduction band is described by the energy dependence of electron effective…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 I. Filikhin , S. G. Matinyan , B. K. Schmid , B. Vlahovic

It is shown that the homogeneous state of the spatially separated electrons and holes in the coupled quantum wells (CQW) is instable if the layer charge density is smaller than the critical value specified by the parameters of the CQW. The…

Mesoscale and Nanoscale Physics · Physics 2014-12-22 V. S. Babichenko , I. Ya. Polishchuk , A. I. Pavlov , A. Guseynov , M. I. Gozman

We study the effects of electron-hole asymmetry on the electronic structure of helical edge states in HgTe/HgCdTe quantum wells. In the framework of the four-band kp-model, which takes into account the absence of a spatial inversion centre,…

Mesoscale and Nanoscale Physics · Physics 2020-04-07 M. V. Durnev

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

We investigate the electron states in double asymmetric $\rm{HgTe/Cd_{x}Hg_{1-x}Te}$ quantum wells grown along the $[001]$ direction. The subbands are computed by means of the envelope function approximation applied to the 8-band Kane…

Mesoscale and Nanoscale Physics · Physics 2020-08-04 Dušan B. Topalović , Vladimir V. Arsoski , Milan Ž. Tadić , François M. Peeters

In high magnetic fields ($B$), two dimensional electron systems (2DESs) can form a number of phases in which interelectron repulsion plays the central role, since the kinetic energy is frozen out by Landau quantization. These phases include…

Mesoscale and Nanoscale Physics · Physics 2015-06-09 A. T. Hatke , Yang Liu , B. A. Magill , B. H. Moon , L. W. Engel , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

We suggest a method for calculating electronic spectra in ordered and disordered semiconductor structures (superlattices) forming double quantum wells (QW). In our method, we represent the solution of Schr\"odinger equation for QW potential…

Materials Science · Physics 2022-04-13 Piotr Garbaczewski , Vladimir A. Stephanovich , Grzegorz Engel

We study theoretically the effect of an electric field on the electron states and far-infrared optical properties in narrow-gap lead salt quantum wells. The electron states are described by a two-band Hamiltonian. An application of a strong…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 O. E. Raichev , P. Vasilopoulos , F. T. Vasko

For 2D topological insulators with strong electron-hole hybridization, such as HgTe/CdTe quantum wells, the widely used 4 x 4 k.p Hamiltonian based on the first electron and heavy hole sub-bands yields an equal number of physical and…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Philip Klipstein

We propose a minimal effective two-dimensional Hamiltonian for HgTe/CdHgTe quantum wells (QWs) describing the side maxima of the first valence subband. By using the Hamiltonian, we explore the picture of helical edge states in tensile and…

Mesoscale and Nanoscale Physics · Physics 2018-04-11 S. S. Krishtopenko , F. Teppe

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…

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