scholarly journals Two-Dimensional Periodic Pauli Operator. The Effective Masses at the Lower Edge of the Spectrum

1999 ◽  
pp. 13-31 ◽  
Author(s):  
M. Sh. Birman ◽  
T. A. Suslina
Keyword(s):  
Two Dimensional ◽  
Lower Edge ◽  
Pauli Operator ◽  
Effective Masses

scholarly journals Spin-orbit splitting and effective masses inp-type GaAs two-dimensional hole gases

2014 ◽  
Vol 89 (8) ◽  
Author(s):  
Fabrizio Nichele ◽  
Atindra Nath Pal ◽  
Roland Winkler ◽  
Christian Gerl ◽  
Werner Wegscheider ◽  
...  
Keyword(s):  
Spin Orbit ◽  
Two Dimensional ◽  
Orbit Splitting ◽  
Effective Masses ◽  
Spin Orbit Splitting

A single hole in a quantum antiferromagnet: selfconsistent Green’s function approach

1991 ◽  
Vol 05 (01n02) ◽  
pp. 207-217 ◽  
Author(s):  
Gerardo Martínez ◽  
Peter Horsch
Keyword(s):  
Born Approximation ◽  
Complete Characterization ◽  
Exact Diagonalization ◽  
Low Energy ◽  
Spin Polaron ◽  
Two Dimensional ◽  
Effective Masses ◽  
Single Hole ◽  
Quantum Antiferromagnet

We solved numerically the integral equation for the selfenergy which describes the motion of a single hole in a two-dimensional quantum antiferromagnet (AF) within the selfconsistent Born approximation. This formulation stresses the similarity of the AF-spin polaron with the standard polaron problem. We confine our calculation to finite cluster geometries and compare with results from previous exact diagonalization studies. The spectral function is characterized by a narrow quasiparticle (qp) peak at the low energy side of the spectra, which appears to be well separated from the incoherent band part for large enough J values. For small J we find a reduced width of ~7t for the incoherent band. The bottom of the coherent qp band always occurs at (±π/2, ±π/2). Its bandwidth initially increases with J until J≃t and then decreases as 2t2/J. A complete characterization of our solution is given, including the dispersion relation and effective masses of this quasiparticle. The comparison with exact diagonalization studies for a 4×4 cluster is remarkably good. From our results we see that a lattice of 16×16 sites describes adequately the thermodynamic limit. We conclude that the simple Born approximation is a valuable scheme to characterize the dynamics of one hole in the t-J model. both in the perturbative and the strong coupling regimes.

Electrons in a square lattice

2021 ◽  
pp. 352-362
Author(s):  
Geoffrey Brooker
Keyword(s):  
Periodic Potential ◽  
Band Gaps ◽  
Three Dimensions ◽  
Square Lattice ◽  
One Dimension ◽  
Two Dimensional ◽  
Effective Masses ◽  
Overlapping Bands

“Electrons in a square lattice” describes how a two-dimensional square lattice gives a helpful case intermediate between one dimension and the complication of three dimensions. The “empty lattice” divides up k-space into Brillouin zones in anticipation of a periodic potential whose period is given but whose magnitude is at this stage zero. A wooden model uses height to represent energy. Rearranging the model's pieces into the reduced-zone scheme displays how electrons can have surprising energy–wavevector relations, including overlapping bands, anisotropic effective masses, and indirect band gaps.

scholarly journals First-Principles Calculations of Angular and Strain Dependence on Effective Masses of Two-Dimensional Phosphorene Analogues (Monolayer α-Phase Group-IV Monochalcogenides MX)

Molecules ◽  
2019 ◽  
Vol 24 (3) ◽  
pp. 639 ◽  
Author(s):  
Yuanfeng Xu ◽  
Ke Xu ◽  
Hao Zhang
Keyword(s):  
First Principles ◽  
Group Iv ◽  
Uniaxial Tensile ◽  
Anisotropy Ratio ◽  
Two Dimensional ◽  
First Principles Calculations ◽  
Orbital Contribution ◽  
Strain Dependence ◽  
Effective Masses ◽  
Black Phosphorene

Group IV monochalcogenides M X (M = Ge, Sn; X = S, Se)-semiconductor isostructure to black phosphorene-have recently emerged as promising two-dimensional materials for ultrathin-film photovoltaic applications owing to the fascinating electronic and optical properties. Herein, using first-principles calculations, we systematically investigate the orbital contribution electronic properties, angular and strain dependence on the carrier effective masses of monolayer M X . Based on analysis on the orbital-projected band structure, the VBMs are found to be dominantly contributed from the p z orbital of X atom, while the CBM is mainly dominated by p x or p y orbital of M atom. 2D SnS has the largest anisotropy ratio due to the lacking of s orbital contribution which increases the anisotropy. Moreover, the electron/hole effective masses along the x direction have the steeper tendency of increase under the uniaxial tensile strain compared to those along y direction.

Two‐dimensional effects and effective masses of the InAs/GaSb (001) superlattices

1979 ◽  
Vol 16 (5) ◽  
pp. 1507-1511 ◽  
Author(s):  
A. Madhukar ◽  
N. V. Dandekar ◽  
R. N. Nucho
Keyword(s):  
Two Dimensional ◽  
Effective Masses ◽  
Dimensional Effects

Zero level of a purely magnetic two-dimensional nonrelativistic Pauli operator for SPIN-1/2 particles

2010 ◽  
Vol 164 (3) ◽  
pp. 1110-1127 ◽  
Author(s):  
P. G. Grinevich ◽  
A. E. Mironov ◽  
S. P. Novikov
Keyword(s):  
Two Dimensional ◽  
Pauli Operator ◽  
Zero Level

scholarly journals К модельному описанию электронного спектра графеноподобных Янус-структур

2022 ◽  
Vol 64 (2) ◽  
pp. 277
Author(s):  
С.Ю. Давыдов
Keyword(s):  
Electronic Spectra ◽  
Function Method ◽  
Hexagonal Lattice ◽  
Tight Binding ◽  
Mechanical Deformation ◽  
Two Dimensional ◽  
Binding Theory ◽  
Effective Masses ◽  
Magnetic States ◽  
Analytical Expressions

Model of C – AB – D Janus structure as the compound formed by the interacting through atoms А and В dimers А – С and В – D, where А and В atoms are in the sites of two-dimensional hexagonal lattice and C and D atoms are on the opposite sides from AB list is proposed. In the scope of tight-binding theory and Green’s function method general equation for the dispersion low is obtained. The particular cases of C – AА – D и А – AB – В compounds are considered and analytical expressions for their electronic spectra is fulfilled. The effect of the external mechanical deformation on the band parameters including effective masses is examined. Problem of the magnetic states in Janus compounds is discussed.

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