Boundary conditions in the envelope function approximation as applied to semiconductor heterostructures

• We have found the equations that determine the self-adjoint extensions, and thus the boundary conditions, of the differential operator used in the multi-band k·p-theory, when the coefficients in the Kane-matrix are piecewise constant. Both the one-dimensional and the three-dimensional case have been investigated. Numerical simulations of the energy eigenvalues in a quantum well has been performed, using different boundary conditions, illustrating the energy shift expected

Ämnesord

NATURVETENSKAP  -- Fysik -- Den kondenserade materiens fysik (hsv//swe)

NATURAL SCIENCES  -- Physical Sciences -- Condensed Matter Physics (hsv//eng)

Nyckelord

quantum well

differential operator

energy eigenvalues

numerical simulations

Kane matrix

multiband k·p theory

self adjoint extensions

semiconductor heterostructures

boundary conditions

function approximation

heterostructures

envelope function approximation

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kon (ämneskategori)

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