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A coherent state representation for the electrons of ordered antiferromagnets is used to derive effective Hamiltonians for the dynamics of holes in such systems. By an appropriate choice of these states, the constraint of forbidden double…

Strongly Correlated Electrons · Physics 2009-10-31 W. Apel , H. -U. Everts , U. Koerner

In this work we obtain the exact analytical scattering solutions of a particle (electron or hole) in a semiconductor double heterojunction - potential well / barrier - where the effective mass of the particle varies with position inside the…

Quantum Physics · Physics 2015-06-03 Anjana Sinha

The general theory for quantum simulation of cubic semiconductor n-MOSFETs is presented within the effective mass equation approach. The full three-dimensional transport problem is described in terms of coupled transverse subband modes…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Anisur Rahman , Mark S. Lundstrom , Avik W. Ghosh

Based on a symmetry analysis of the microscopic Hubbard and t-J models, a systematic low-energy effective field theory is constructed for hole-doped antiferromagnets on the honeycomb lattice. In the antiferromagnetic phase, doped holes are…

Strongly Correlated Electrons · Physics 2013-05-30 F. Kämpfer , B. Bessire , M. Wirz , C. P. Hofmann , F. -J. Jiang , U. -J. Wiese

We theoretically explore the electronic structure of holes in cylindrical Germanium/Silicon core/shell nanowires using a perturbation theory approach. The approach yields a set of interpretable and transferable effective low-energy models…

Mesoscale and Nanoscale Physics · Physics 2025-11-18 Sebastian Miles , A. Mert Bozkurt , Dániel Varjas , Michael Wimmer

The ideas of the linear combination of atomic orbitals (LCAO) method, well known from the study of electrons, is extended to the classical wave case. The Mie resonances of the isolated scatterer in the classical wave case, are analogous to…

Disordered Systems and Neural Networks · Physics 2009-10-31 E. Lidorikis , M. M. Sigalas , C. M. Soukoulis , E. N. Economou

The linear combination of atomic orbitals (LCAO) is a standard method for studying solids and molecules, it is also known as the tight$-$binding (TB) method. In most of the implementations only the basis set and the coupling constants are…

Materials Science · Physics 2024-01-18 Graziâni Candiotto

Rotationally invariant combinations of the Brillouin zone-center Bloch functions are used as basis function to express in cylindrical coordinates the valence-band and Kane envelope-function Hamiltonians for wurtzite and zinc-blende…

Materials Science · Physics 2012-10-30 Eduard Takhtamirov

The exploration of quantum phenomena in complex materials such as moir\'e superlattices is limited by the O(N^3) scaling of conventional electronic structure methods. Here we introduce a high-performance tight-binding framework that reduces…

Computational Physics · Physics 2026-01-21 Zichong Zhang , Shuze Zhu

A numerical technique is developed to solve the Luttinger-Kohn equation for impurity states directly in k-space and is applied to calculate bound hole wave functions in a ferromagnetic (Ga,Mn)As host. The rich properties of the band…

Materials Science · Physics 2009-11-13 M. J. Schmidt , K. Pappert , C. Gould , G. Schmidt , R. Oppermann , L. W. Molenkamp

We give a new reduction of a general diatomic molecular Hamiltonian, without modifying it near the collision set of nuclei. The resulting effective Hamiltonian is the sum of a smooth semiclassical pseudodifferential operator (the…

Mathematical Physics · Physics 2015-06-26 André Martinez , Vania Sordoni

An interacting lattice model describing the subspace spanned by a set of strongly-correlated bands is rigorously coupled to density functional theory to enable ab initio calculations of geometric and topological material properties. The…

Strongly Correlated Electrons · Physics 2019-03-26 Ryan Requist , E. K. U. Gross

Revisiting the issue associated with Position-Dependent Mass (PDM), we reaffirm that the appropriate framework for addressing a generic PDM is the symmetrization proposed by BenDaniel and Duke. To accomplish this result adopts the effective…

Quantum Physics · Physics 2025-01-09 F. C. E. Lima , F. M. Belchior , C. A. S. Almeida

Theory of exciton fine structure in semiconductor quantum dots and its dependence on quantum dot anisotropy and external lateral electric field is presented. The effective exciton Hamiltonian including long range electron-hole exchange…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Eugene Kadantsev , Pawel Hawrylak

A generalized scheme for the construction of coherent states in the context of position-dependent effective mass systems has been presented. This formalism is based on the ladder operators and associated algebra of the system which are…

Quantum Physics · Physics 2017-01-04 Naila Amir , Shahid Iqbal

The recently discovered FeAs-based superconductors show intriguing behavior and unusual dynamics of electrons and holes which occupy the Fe $d$-orbitals and As $4s$ and $4p$ orbitals. Starting from the atomic limit, we carry out a strong…

Strongly Correlated Electrons · Physics 2008-11-20 Efstratios Manousakis , Jun Ren , Sheng Meng , Efthimios Kaxiras

Semiconductor valence holes are known to have heavy and light effective masses; but the consequence of this mass difference on Coulomb scatterings has been considered intractable and thus ignored up to now. The reason is that the…

Strongly Correlated Electrons · Physics 2021-08-03 Shiue-Yuan Shiau , Monique Combescot

Using the atomistic tight-binding method in combination with symmetry analysis and extended effective mass theory we derive a phenomenological model for the fine structure of the ground electron and hole states in $[111]$-grown PbX, X=S,Se…

Mesoscale and Nanoscale Physics · Physics 2024-12-02 I. D. Avdeev , M. O. Nestoklon

We have calculated the density-density (Lindhard) response function of a homogeneous two-dimensional (2D) hole gas in the static (omega=0) limit. The bulk valence-band structure comprising heavy-hole (HH) and light-hole (LH) states is…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 T. Kernreiter , M Governale , U. Zuelicke

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