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In this paper a multi-band envelope-function Hamiltonian for lattice-matched semiconductor heterostructures is derived from first-principles norm-conserving pseudopotentials. The theory is applicable to isovalent or heterovalent…

Materials Science · Physics 2007-05-23 Bradley A. Foreman

We present a new method for calculating electronic states in low-dimensional semiconductor heterostructures, which is based on the real-space Hamiltonian in the envelope function approximation. The numerical implementation of the method is…

Mesoscale and Nanoscale Physics · Physics 2011-06-01 Yong-Hee Cho , Alexey Belyanin

We consider the behaviour of quantum Hall edges away from the Luttinger liquid fixed point that occurs in the low energy, large system limit. Using the close links between quantum Hall wavefunctions and conformal field theories we construct…

Strongly Correlated Electrons · Physics 2018-11-07 Richard Fern , Roberto Bondesan , Steven H. Simon

A procedure is presented that combines density functional theory computations of bulk semiconductor alloys with the semiconductor Bloch equations, in order to achieve an ab initio based prediction of the optical properties of semiconductor…

Materials Science · Physics 2017-06-08 L. C. Bannow , P. Rosenow , P. Springer , E. W. Fischer , J. Hader , J. V. Moloney , R. Tonner , S. W. Koch

Effective mass equations are the simplest models of carrier states in a semiconductor structures that reduce the complexity of a solid-state system to Schr\"odinger- or Pauli-like equations resempling those well known from quantum mechanics…

Mesoscale and Nanoscale Physics · Physics 2018-03-30 Adam Mielnik-Pyszczorski , Krzysztof Gawarecki , Paweł Machnikowski

The envelope function method traditionally employs a single basis set which, in practice, relates to a single material because the $k\cdot p$ matrix elements are generally only known in a particular basis. In this work, we defined a basis…

Mesoscale and Nanoscale Physics · Physics 2018-01-29 Maarten L. Van de Put , William G. Vandenberghe , Wim Magnus , Bart Sorée

Method of invariants is used to obtain effective kp-Hamiltonian with position-dependent band parameters and correct boundary conditions for electron and hole envelope functions in A3B5-heterostructures with arbitrary interface orientation.…

Materials Science · Physics 2007-05-23 G. F. Glinskii , K. O. Kravchenko

A procedure to obtain single-electron wavefunctions within the tight-binding formalism is proposed. It is based on linear combinations of Slater-type orbitals whose screening coefficients are extracted from the optical matrix elements of…

Materials Science · Physics 2016-09-16 R. Benchamekh , F. Raouafi , J. Even , F. Ben Cheikh Larbi , P. Voisin , J. -M. Jancu

The quantization of Hall conductance in a p-type heterojunction with lateral surface quantum dot superlattice is investigated. The topological properties of the four-component hole wavefunction are studied both in r- and k-spaces. New…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 V. Ya. Demikhovskii , D. V. Khomitskiy

We consider 1D lattices described by Hubbard or Bose-Hubbard models, in the presence of periodic high-frequency perturbations, such as uniform ac force or modulation of hopping coefficients. Effective Hamiltonians for interacting particles…

Other Condensed Matter · Physics 2015-08-18 A. P. Itin , M. I. Katsnelson

We propose a first principles effective medium formalism to study the propagation of electron waves in semiconductor heterostructures with a zero-band gap. Our theory confirms that near the K-point the dynamics of a two-dimensional electron…

Mesoscale and Nanoscale Physics · Physics 2016-10-20 Sylvain Lannebère , Mário G. Silveirinha

A multi-band effective-mass Hamiltonian is derived for lattice-matched semiconductor nanostructures in a slowly varying external magnetic field. The theory is derived from the first-principles magnetic-field coupling Hamiltonian of Pickard…

Materials Science · Physics 2007-05-23 Bradley A. Foreman

We propose an implementation of external homogeneous magnetic fields in k$\cdot$p Hamiltonians for holes in heterostructures, in which we made use of the minimal coupling prior to introduce the envelope function approximation. Illustrative…

Mesoscale and Nanoscale Physics · Physics 2013-03-27 Josep Planelles , Juan I. Climente

We present the metamorphosis in the effective-potential profile of layered heterostructures, for several III-V semiconductor binary compounds, when the band mixing of light and heavy holes increases. A root-locus-like procedure, is directly…

Mesoscale and Nanoscale Physics · Physics 2013-02-28 J. J. Flores-Godoy , A. Mendoza-Álvarez , L. Diago-Cisneros , G. Fernández-Anaya

We derive the Hamiltonian for cold fermionic atoms in an optical lattice across a broad Feshbach resonance, taking into account of both multiband occupations and neighboring-site collisions. Under typical configurations, the resulting…

Other Condensed Matter · Physics 2009-11-11 L. -M. Duan

The electron spectrum in a uniform nanowire with a hexagonal cross-section is calculated by means of a numerical diagonalization of the effective-mass Hamiltonian. Two basis sets are utilized. The wave-functions of low-lying states are…

Mesoscale and Nanoscale Physics · Physics 2021-01-19 I. A. Kokurin

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

We formulate the multi-band kp theory of hyperfine interactions for semiconductor nanostructures in the envelope function approximation. We apply this theoretical description to the fluctuations of the longitudinal and transverse Overhauser…

Mesoscale and Nanoscale Physics · Physics 2019-08-28 Paweł Machnikowski , Krzysztof Gawarecki , Łukasz Cywiński

The electronic band structure of cubic HfO2 is calculated using an it ab initio all-electron self--consistent linear augmented plane-wave method, within the framework of the local-density approximation and taking into account…

We consider a single particle tunnelling in a tight-binding model with nearest-neighbour couplings, in the presence of a periodic high-frequency force. An effective Hamiltonian for the particle is derived using an averaging method…

Other Condensed Matter · Physics 2014-02-07 A. P. Itin , A. I. Neishtadt
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