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We study the dielectric function of the homogeneous hole gas in p-doped zinc-blende III-V bulk semiconductors within random phase approximation with the valence band being modeled by Luttinger's Hamiltonian in the spherical approximation.…

Strongly Correlated Electrons · Physics 2010-10-25 John Schliemann

We study the homogeneous interacting hole gas in $p$-doped bulk III-V semiconductors. The structure of the valence band is modelled by Luttinger's Hamiltonian in the spherical approximation, giving rise to heavy and light hole dispersion…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 John Schliemann

Luttinger semimetals are three-dimensional electron systems with a parabolic band touching and an effective total spin $J=3/2$. In this paper, we present an analytical theory of dielectric screening of inversion-symmetric Luttinger…

Strongly Correlated Electrons · Physics 2019-10-15 Achille Mauri , Marco Polini

We derive a dielectric-dependent hybrid functional which accurately describes the electronic properties of heterogeneous interfaces and surfaces, as well as those of three- and two-dimensional bulk solids. The functional, which does not…

Materials Science · Physics 2019-07-17 Huihuo Zheng , Marco Govoni , Giulia Galli

The band structure of (ZnxCd1-x)3P2 alloy system is considered within the framework of Kildal's band model. Frequency dependencies of real and imaginary parts of dielectric function were received and analyzed in terms of direct band to band…

Materials Science · Physics 2010-03-10 D. M. Stepanchikov , S. V. Shutov

We present a full derivation of the interaction Hamiltonian for holes in silicon within the six-band envelope-function scheme, which appropriately describes the valence band close to the $\boldsymbol{\Gamma}$ point. The full structure of…

Mesoscale and Nanoscale Physics · Physics 2021-11-17 Andrea Secchi , Laura Bellentani , Andrea Bertoni , Filippo Troiani

Bethe-Salpeter equation (BSE) in the self-consistent Hartree-Fock (HF) basis is often used for describing complex many-body effects in material science applications. Its exact solution on the real-frequency axis at finite temperature for…

Strongly Correlated Electrons · Physics 2024-11-14 I. S. Tupitsyn , N. V. Prokof'ev

We study spinless fermions with nearest-neighbor repulsive interactions ($t$-$V$ model) on the two-dimensional three-band Lieb lattice. At half-filling, the free electronic band structure consists of a flat band at zero energy and a single…

Strongly Correlated Electrons · Physics 2017-01-10 Martin Bercx , Johannes S. Hofmann , Fakher F. Assaad , Thomas C. Lang

Optical properties of semiconductors can exhibit strong polarization dependence due to crystalline anisotropy. A number of recent experiments have shown that the photoluminescence intensity in free standing nanowires is polarization…

Mesoscale and Nanoscale Physics · Physics 2013-03-05 Amrit De , Craig E. Pryor

The dielectric function is one of the most important quantities that describes the electrical and optical properties of solids. Accurate modeling of the frequency-dependent dielectric function has great significance in the study of the…

Materials Science · Physics 2017-01-18 Fan Zheng , Jianmin Tao , Andrew M. Rappe

Improved computation of the dielectric function considering excitonic effects and long wavelength is performed and compared with the nearly free electron band approximation, similarly with the Penn's model case. New expressions for the real…

Strongly Correlated Electrons · Physics 2016-06-29 Diego Julio Cirilo-Lombardo

Due to strong spin-orbit coupling, charge carriers in three-dimensional quadratic band touching Luttinger semimetals have non-trivial wavefunctions characterized by a pseudospin of 3/2. We compute the dielectric permittivity of such…

Mesoscale and Nanoscale Physics · Physics 2020-01-30 Serguei Tchoumakov , William Witczak-Krempa

Considering screeening of electron scattering interactions in terms of the finite-temperature STLS theory and solving the linearized Boltzmann equation (with no appeal to a relaxation time approximation), we present a theoretical analysis…

Materials Science · Physics 2011-06-08 S. Y. Liu , X. L. Lei , Norman J. M. Horing

The effect of doping in the two-dimensional Hubbard model is studied within finite temperature exact diagonalization combined with cluster dynamical mean field theory. By employing a mixed basis involving cluster sites and bath molecular…

Strongly Correlated Electrons · Physics 2009-10-29 Ansgar Liebsch , Ning-Hua Tong

We consider triangular holes on the hexagonal lattice and we study their interaction when the rest of the lattice is covered by dimers. More precisely, we analyze the joint correlation of these triangular holes in a ``sea'' of dimers. We…

Mathematical Physics · Physics 2007-10-25 Mihai Ciucu

A generalized Sellmeier model, also referred to as the Lorentz-Dirac model, has been used for the description of the dielectric function of a number of technologically important materials in the literature. This model represents the…

Materials Science · Physics 2025-03-06 T. Das , C. A. Ullrich , U. D. Jentschura

The energy spectrum of a two-dimensional electron gas (2DEG) interacting with a valence-band hole is studied in the high magnetic field limit as a function of the filling factor nu and the separation d between the electron and hole layers.…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Arkadiusz Wojs , Kyung-Soo Yi , John J. Quinn

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

We present a consistent theoretical description of few-particle effects in the optical spectra of semiconductor quantum dots, based on a direct-diagonalization approach. We show that, because of the strong Coulomb interaction among…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Ulrich Hohenester , Elisa Molinari

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
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