Wave function, spectrum and effective mass of holes in 2 D quantum antiferromagnet

1989 ◽  
Vol 162-164 ◽  
pp. 773-774
Author(s):  
Zhao-bin Su ◽  
Yan-min Ll ◽  
Wu-yan Lai ◽  
Lu Yu
Keyword(s):  
Wave Function ◽  
Effective Mass ◽  
Quantum Antiferromagnet

The Electronic Structure and Atomic Symmetry of The Oxygen Donor in Silicon

1985 ◽  
Vol 59 ◽  
Author(s):  
Michael Stavola ◽  
Keon M. Lee
Keyword(s):  
Wave Function ◽  
Effective Mass ◽  
Conduction Band ◽  
Ground State ◽  
Polarized Light ◽  
Uniaxial Stress ◽  
Single Pair ◽  
State Wave ◽  
Oxygen Donor ◽  
Charge States

ABSTRACTThe infrared spectrum of oxygen donor complexes in silicon under uniaxial stress has been examined for the neutral and singly ionized charge states. Our results are consistent with an effective mass-like ground state wave function that is constructed from a single pair of conduction band valleys for both charge states. A thermal ionization experiment in which the stress split components of the ground state are monitored by the absorption of polarized light confirm this interpretation and provide correlation with DLTS and EPR results. Additional small splittings, due to deviations from effective mass theory, show that the electronic wave function of the oxygen donor is distorted by an extended “central cell” with C2v symmetry. Previously observed splittings of 1s → np± transitions for the singly ionized charge state at zero stress are interpreted in terms of the effect of the anisotropic oxygen donor structure upon excited state wave functions constructed from the single pair of conduction band valleys

The W. K. B. approximation for Bloch electrons with an application to interband tunnelling

1964 ◽  
Vol 280 (1381) ◽  
pp. 185-197 ◽  
Keyword(s):  
Wave Function ◽  
Wave Equation ◽  
Effective Mass ◽  
Periodic Term ◽  
One Dimensional ◽  
Auxiliary Functions ◽  
Varying Coefficients ◽  
Exponential Behaviour ◽  
The One ◽  
Bloch Electrons

The W. K. B. technique for solving the one-dimensional wave equation is extended to the case when the potential field includes a rapidly varying periodic term as well as a slowly varying term. A pair of auxiliary functions are introduced which are identical to the wave function and its derivative respectively at the edges of the periodic cells, but which have a simple exponential behaviour within the cells. The auxiliary functions satisfy a pair of auxiliary (related) differential equations, with slowly varying coefficients, which are valid for all energy values. Solution of the auxiliary equations by the well-known W. K. B. technique yields approximations to the wave function. These approximations break down in the neighbourhood of the band edges, which are the turning points of the problem. Connexion formulae are established across the band edges and employed to calculate the interband tunnelling probability. In the immediate neighbourhood of a band edge the analysis yields an effective-mass wave equation and a closed form for the wave function. The auxiliary functions are closely related to the effective-mass modulating wave function and the results of this paper may be regarded as an extension of effective-mass theory for the one-diinensional case, throughout the whole of the energy ranges of allowed bands and forbidden gaps.

EXCITON IN ZnO FILM

2007 ◽  
Vol 21 (31) ◽  
pp. 5237-5245 ◽  
Author(s):  
HUA ZHAO ◽  
WEN XIONG ◽  
MENG-ZAO ZHU
Keyword(s):  
Wave Function ◽  
Film Thickness ◽  
Effective Mass ◽  
Ground State Energy ◽  
Ground State ◽  
Quantum Tunneling ◽  
State Energy ◽  
Zno Film ◽  
Mass Approximation ◽  
Exciton Wave Function

The present study variationally calculates the ground state energy and the first excited energy of an exciton in an ZnO film in effective mass approximation. Change of the ground state energy, the first excited energy of an exciton, and radius of the exciton with film thickness are studied, as well as the correction due to the quantum tunneling of the exciton wave function through the film.

Structure and Properties of The Oxygen Donor

1985 ◽  
Vol 59 ◽  
Author(s):  
L. C. Kimerling
Keyword(s):  
Wave Function ◽  
Electrical Activity ◽  
Effective Mass ◽  
Atomic Structure ◽  
Active Site ◽  
Aggregation Process ◽  
Structure And Properties ◽  
Oxygen Donor ◽  
Heavily Doped ◽  
Donor Character

ABSTRACTDuring aggregation, an assembly of oxygen atoms in silicon produces an electrically active site. The center is an effective mass, helium-like center (double donor) with a wave function of C2v symmetry. The formation reactions of the assembly reveal details of the invisible early stages of aggregation. The donor character of the center controls the aggregation process in heavily doped material. The atomic structure and the source of the electrical activity of the center remain unresolved.

EFFECTIVE MASS HAMILTONIANS WITH LINEAR TERMS IN THE MOMENTUM: DARBOUX TRANSFORMATIONS AND FORM-PRESERVING TRANSFORMATIONS

2007 ◽  
Vol 22 (08n09) ◽  
pp. 1735-1769 ◽  
Author(s):  
AXEL SCHULZE-HALBERG
Keyword(s):  
Wave Function ◽  
Schrödinger Equation ◽  
Effective Mass ◽  
Schrodinger Equation ◽  
Time Dependent ◽  
Darboux Transformations

We define form-preserving transformations and Darboux transformations for time-dependent, effective mass Hamiltonians with additional linear terms. We give reality conditions for both transformations, guaranteeing the transformed potential to be real-valued. We further show that our form-preserving transformation preserves normalizability of the Schrödinger wave function. Our results generalize all former results on form-preserving transformations and Darboux transformations for the time-dependent Schrödinger equation. This paper is a sequel of Refs. 16–18.

IMPORTANCE OF LOCAL SPIN-FLIP PROCESSES IN QUANTUM ANTIFERROMAGNETS

1989 ◽  
Vol 03 (12) ◽  
pp. 1789-1808 ◽  
Author(s):  
Andrzej M. Oleś
Keyword(s):  
Wave Function ◽  
Ground State ◽  
Quantum Fluctuations ◽  
Square Lattice ◽  
Quantum Antiferromagnets ◽  
Numerical Minimization ◽  
Local Coupling ◽  
Quantum Antiferromagnet ◽  
Fundamental Equations ◽  
Variational Wave

The variational wave function proposed by Bartkowski to treat the ground state of a quantum antiferromagnet is reexamined. The fundamental equations of this method, for the energy and magnetization, are formulated in terms of a linked cluster expansion. It is found that the energy which results from the numerical minimization of the formula derived by Bartkowski is lower than originally reported. The energy is further improved by including higher order linked diagrams, which gives the energy of E0=−0.3338J per bond and magnetization of 0.356 for the square lattice. The same wave function is next used to treat the motion of a single hole in a quantum antiferromagnet. Its motion becomes possible due to the local coupling to quantum fluctuations. It is found that the spectrum is dominated by the incoherent processes, but a coherent propagating mode may be also identified. The quasiparticle dispersion is only weakly modified by quantum fluctuations present on the neighbouring bonds.

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