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Landauer Conductance of Generalized Fibonacci-Type Semiconductor Superlattices

100%
Salejda W., Kubisa M., Misiewicz J., Ryczko K., Tyc M.
Acta Physica Polonica A
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1998
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vol. 94
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issue 3
514-518
EN
The quantum model of quasi-one-dimensional generalized Fibonacci semiconductor superlattice with the mass of charge carriers depending on the position in superlattice is formulated. The Landauer electrical conductance σ_{L} of generalized Fibonacci semiconductor superlattice is studied analytically and numerically. The dynamical maps allowing us to calculate σ_{L} of the studied systems are presented. It is shown that σ_{L} as a function of incident energy E of charge carriers oscillates strongly and exhibits the resonant character. We have verified numerically that σ_{L}(E) reaches its local maximum for energies E corresponding to energy eigenvalues of charges in superlattice.
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New Numerical Matrix Methods of Solving the Quasi-One-Dimensional Effective-Mass Equation

86%
Salejda W., Tyc M., Andrzejewski J., Kubisa M., Misiewicz J., Just M., Ryczko K.
Acta Physica Polonica A
|
1999
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vol. 95
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issue 6
881-896
EN
New efficient numerical methods of computing eigenvalues and eigenvectors of quasi-one-dimensional effective-mass Hamiltonian with arbitrary coordinate dependence of charge carrier mass are presented. Within the proposed approach the effective-mass equation is replaced by a nonsymmetric or symmetric matrix eigenproblem which can be analysed numerically with the help of existing computer routines. The presented methods are verified in special semiconductor heterostructure cases that are solvable within other approaches. A generalization of the presented methods for nonparabolic materials is also discussed.
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