scholarly journals Self-consistent treatment of v-groove quantum wire band structure in no parabolic approximation

2004 ◽  
Vol 1 (3) ◽  
pp. 69-77 ◽  
Author(s):  
Jasna Crnjanski ◽  
Dejan Gvozdic
Keyword(s):  
Band Structure ◽  
Quantum Wire ◽  
The Self ◽  
Flat Band ◽  
Band Model ◽  
Parabolic Approximation ◽  
Self Consistent ◽  
Band Absorption ◽  
Consistent Treatment ◽  
Self Consistency

The self-consistent no parabolic calculation of a V-groove-quantum-wire (VQWR) band structure is presented. A comparison with the parabolic flat-band model of VQWR shows that both, the self-consistency and the nonparabolicity shift sub band edges, in some cases even in the opposite directions. These shifts indicate that for an accurate description of inter sub band absorption, both effects have to be taken into the account.

Band-structure calculations of BN by the self-consistent variational cellular method

1990 ◽  
Vol 41 (3) ◽  
pp. 1691-1694 ◽  
Author(s):  
E. K. Takahashi ◽  
A. T. Lino ◽  
A. C. Ferraz ◽  
J. R. Leite
Keyword(s):  
Band Structure ◽  
The Self ◽  
Band Structure Calculations ◽  
Self Consistent ◽  
Cellular Method ◽  
Structure Calculations

Self-Consistent Hole Motion and Spin Excitations in A Quantum Antiferromagnet

1989 ◽  
Vol 03 (12) ◽  
pp. 1913-1932 ◽  
Author(s):  
Z.B. Su ◽  
Y.M. Li ◽  
W.Y. Lai ◽  
L. Yu
Keyword(s):  
The Self ◽  
Spin Excitation ◽  
Spin Correlations ◽  
Local Distortion ◽  
Spin Excitations ◽  
Self Consistent ◽  
The Stability ◽  
The One ◽  
Quantum Antiferromagnet ◽  
Self Consistency

A new quantum Bogoliubov-de Gennes (BdeG) formalism is developed to study the self-consistent motion of holes and spin excitations in a quantum antiferromagnet within the generalized t-J model. On the one hand, the effects of local distortion of spin configurations and the renormalization of the hole motion due to virtual excitations of the distorted spin background are treated on an equal footing to obtain the hole wave function and its spectrum, as well as the effective mass for a propagating hole. On the other hand, the change of the spin excitation spectrum and the spin correlations due to the presence of dynamical holes are studied within the same adiabatic approximation. The stability of the hole states with respect to such changes justifies the self-consistency of the proposed formalism.

The band structure of aluminium III. A self-consistent calculation

1957 ◽  
Vol 240 (1222) ◽  
pp. 361-374 ◽  
Keyword(s):  
Band Structure ◽  
Electron Gas ◽  
Careful Consideration ◽  
Correlation Effects ◽  
Conduction Electrons ◽  
Hartree Fock ◽  
Exchange Effects ◽  
Self Consistent ◽  
Core Electrons ◽  
Self Consistency

The main feature of the present recalculation of the band structure is a careful consideration of the potential on which it is based. An effective potential acting on a conduction electron is defined intuitively so as to include the effects of correlation and exchange. This grafts the Bohm & Pines theory of a free-electron gas (Pines 1955) on to the Hartree—Fock treatment of the effect of the ion cores. Correlation and exchange effects among the conduction and ion-core electrons have been calculated, and the variation of the potential in the regions about half-way between the atoms has also been calculated and taken into account. Achieving self-consistency in the contribution to the potential due to the conduction electrons has not been difficult. Because of various approximations, including those in the potential, the calculated energy values are judged to be correct to about 0·03 Ry. The results are found to agree satisfactorily with the model of the band structure obtained in I by noting that the effective Fermi level for electrons and holes in the band structure may not be the same due to additional correlation effects.

Stability analysis of sheared non-neutral relativistic cylindrical electron beams in applied magnetic fields

1991 ◽  
Vol 45 (2) ◽  
pp. 191-201 ◽  
Author(s):  
D. Zoler ◽  
S. Cuperman
Keyword(s):  
Stability Analysis ◽  
Magnetic Fields ◽  
Maxwell Equations ◽  
Electron Beams ◽  
Radial Electric Field ◽  
The Self ◽  
Axial Motion ◽  
Axial Velocity Component ◽  
Self Consistent ◽  
Consistent Treatment

A self-consistent stability analysis of relativistic non-neutral cylindrical electron flows propagating along applied magnetic fields is considered within the framework of the macroscopic cold-fluid-Maxwell equations. The full influence of the equilibrium self-electric and self-magnetic fields is retained. Then the E x B drift (E being the radial electric field created by the uncompensated charge) generates a radial shear, vz(r) and v0(r). The effect of the shear in the axial velocity component, as reflected in the relative axial motion of adjacent concentric layers of beam particles, is investigated. The self-consistent treatment of the problem thus shows that the equilibrium state considered in this paper is unstable.

The role of the Coulomb gap in the self-consistent band structure of SmS

1986 ◽  
Vol 19 (14) ◽  
pp. 2485-2498 ◽  
Author(s):  
F Lopez-Aguilar ◽  
J Costa-Quintana
Keyword(s):  
Band Structure ◽  
The Self ◽  
Coulomb Gap ◽  
Self Consistent

Self-consistency in the interaction of magnetized electrons and ordinarily polarized electromagnetic waves

1993 ◽  
Vol 49 (1) ◽  
pp. 41-50
Author(s):  
F. B. Rizzato
Keyword(s):  
Free Energy ◽  
Electromagnetic Waves ◽  
Hamiltonian Formalism ◽  
Critical Value ◽  
Average Density ◽  
The Self ◽  
Dynamical Interaction ◽  
Wave Dynamics ◽  
Self Consistent ◽  
Self Consistency

We use a Hamiltonian formalism to analyse the self-consistent wave–particle dynamical interaction involving magnetized electrons and ordinarily polarized electromagnetic waves. Considering first-harmonic cyclotron resonances, we show that there is a critical value of the electronic average density. For systems with lower than critical densities the saturation process is dictated by relativistic detuning effects, and wave dynamics may be disregarded. However, for systems with larger densities, saturation is governed by the available electromagnetic free energy, and the wave dynamics turns out to be essential.

MULTIPLICATIVE RENORMALIZABILITY AND SELF-CONSISTENT TREATMENTS OF THE SCHWINGER-DYSON EQUATIONS

1991 ◽  
Vol 06 (04) ◽  
pp. 317-324 ◽  
Author(s):  
N. BROWN ◽  
N. DOREY
Keyword(s):  
The Self ◽  
Fermion Propagator ◽  
Self Consistent ◽  
Renormalization Constants ◽  
Multiplicative Renormalizability ◽  
Self Consistency ◽  
Important Test

Many approximations to the Schwinger-Dyson equations place constraints on the renormalization constants of a theory. The requirement that the solutions to the equations be multiplicatively renormalizable also places constraints on these constants. Demanding that these two sets of constraints be compatible is an important test of the self-consistency of the approximations made. We illustrate this idea by considering the equation for the fermion propagator in massless quenched QED, checking the consistency of various approximations.

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