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Interband tunneling in nanowires was studied with a non-equilibrium Green's function (NEGF) method focusing on the incident and outgoing eigenstates of the left and right leads. Tunneling is allowed only between paired lead eigenstates linked to each other via an imaginary wavevector in the forbidden gap. Following Kane's tunneling theory, we believe that the tunneling for typical semiconductor materials...
In this paper, we analyze the stability of complex homogeneous systems of degree (/spl lscr/, /spl lscr/) by homogeneous eigenvalues. First, we define homogeneous eigenvalues and homogeneous eigenvectors for complex homogeneous systems of degree (/spl lscr/, /spl lscr/). Then, we obtain solutions on homogeneous eigenvectors. Convergence of the solutions depends not only on homogeneous eigenvalues...
Homogeneous eigenvalue analysis is a useful tool for analysis of homogeneous systems. We obtained necessary conditions for asymptotic stability in our previous paper. However, any sufficient conditions are not obtained. In this paper, we introduce Euler sphere, and analyze the properties of solutions of homogeneous systems using dilations of Euler sphere. Moreover, we show the equivalence between...
Homogeneous systems play important roles in nonlinear control theory. We proposed homogeneous eigenvalues, and provided sufficient conditions for asymptotic stability using homogeneous eigenvalue analysis in the previous papers. In this paper, we prove that there exists a homogeneous system which has uncountable infinite homogeneous eigenvalues. Moreover, we introduce the definition of the oscillation...
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