Numerical Study of Electronic States in a Quantum Wire at Crossing Heterointerfaces

1991 ◽  
pp. 243-246
Author(s):  
Henry K. Harbury ◽  
Wolfgang Porod
Keyword(s):  
Quantum Wire ◽  
Numerical Study ◽  
Electronic States

scholarly journals A NUMERICAL STUDY OF THE QUANTUM OSCILLATIONS IN MULTIPLE DANGLING RINGS

1995 ◽  
Vol 09 (23) ◽  
pp. 3085-3097 ◽  
Author(s):  
B.Y. GU ◽  
CHAITALI BASU
Keyword(s):  
Quantum Wire ◽  
Numerical Study ◽  
Wave Number ◽  
Quantum Mechanical ◽  
Quantum Waveguide ◽  
Quantum Oscillations ◽  
Multiply Connected ◽  
Conductance Spectrum ◽  
Transfer Matrix Approach ◽  
Fermi Wave Number

We present the quantum mechanical calculations on the conductance of the quantum waveguide topology containing multiply connected dangling mesoscopic rings with the transfer matrix approach. The profiles of the conductance as functions of the Fermi wave number of electrons depend on the number of rings and also on the geometric configuration of the system. The conductance spectrum of this system for disordered lengths in the ring circumferences, dangling links, ballistic leads connecting consecutive dangling rings is examined in detail. We find that there exist two kinds of mini-bands, one originating from the eigenstates of the rings, i.e. the intrinsic mini-bands, and the extra mini-bands. Some of these extra minibands are associated with the dangling links connecting the rings to the main quantum wire, while others are from the standing wave modes associated with the ballistic leads connecting adjacent dangling rings. These different kinds of mini-bands have completely different properties and respond differently to the geometric parameter fluctuations. Unlike the system of potential scatterers, this system of geometric scatterers shows complete band formations at all energies even for finite number of scatterers present. There is a preferential decay of the energy states, depending upon the type of disorder introduced. By controling the geometric parameters, the conductance band structure of such a model can be artificially tailored.

Numerical Study of the Charge Distribution in a Quantum Wire Consisting a Junction of Wide-Narrow Geometry

1992 ◽  
Vol 61 (10) ◽  
pp. 3829-3830
Author(s):  
Shinji Nonoyama ◽  
Koji Ishibashi ◽  
Yoshinobu Aoyagi ◽  
Susumu Namba
Keyword(s):  
Charge Distribution ◽  
Quantum Wire ◽  
Numerical Study

Numerical study of the spin Hall current in a quantum wire

2005 ◽  
Vol 72 (4) ◽  
Author(s):  
J. Wang ◽  
K. S. Chan
Keyword(s):  
Quantum Wire ◽  
Hall Current ◽  
Numerical Study

Edge quantum wire structures with novel doping profiles and their electronic states

1998 ◽  
Vol 42 (7-8) ◽  
pp. 1223-1226
Author(s):  
M Yamauchi ◽  
Y Nakamura ◽  
H Sakaki
Keyword(s):  
Quantum Wire ◽  
Electronic States ◽  
Doping Profiles

scholarly journals Electronic States in a Doubly Eccentric Cylindrical Quantum Wire

2020 ◽  
Vol 12 (4) ◽  
pp. 473-483
Author(s):  
R. Kumar ◽  
S. N. Singh
Keyword(s):  
Boundary Conditions ◽  
Effective Mass ◽  
Ground State Energy ◽  
Ground State ◽  
Quantum Wire ◽  
State Energy ◽  
Electronic States ◽  
Addition Theorem ◽  
Limiting Behavior ◽  
Soft Wall

Electronic states of a single electron in doubly eccentric cylindrical quantum wire are theoretically investigated in this paper. The motion of electron in quantum wire is free along axial direction in a cylindrical quantum wire and restricted in annular regions by three different parallel finite cylindrical barriers as soft wall confinement. The effective mass Schrödinger equation with effective mass boundary conditions is used to find energy eigenvalues and   corresponding wavefunctions. Addition theorem for cylindrical Bessel functions is used to shift the origin for applying boundary conditions at different circular boundaries. Fourier expansion is applied after addition theorem to get wavefunctions in analytical form. A determinant equation is obtained as a result of applications of effective mass boundary conditions which roots gives energy of various electronic states. The lowest root gives ground state energy. The variation in ground state energy with eccentricity is obtained numerically and presented graphically. Electronic states in massive wall confinement and hard wall confinement is further obtained as limiting behavior of the states obtained in soft wall confinement. The knowledge of electronic states in such cylindrical hetrostructures semiconductor material can lead to improve the efficiency of many quantum devices.

Electronic states in GaAs v‐groove quantum wire structures with superlattice barriers

1995 ◽  
Vol 67 (19) ◽  
pp. 2851-2853 ◽  
Author(s):  
C. Kiener ◽  
L. Rota ◽  
J. M. Freyland ◽  
K. Turner ◽  
A. C. Maciel ◽  
...  
Keyword(s):  
Quantum Wire ◽  
Electronic States
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