Electronic minibands in complex basis superlattices: A numerically stable calculation
Journal
Journal of Physics Condensed Matter
Journal Volume
19
Journal Issue
26
Date Issued
2007
Author(s)
Abstract
A numerically stable method for accurately determining the energy minibands of superlattices with arbitrary numbers of layers per cell is presented. Using a graph model with tangent and secant functions, we derive a set of concise and closed-form miniband edge equations for determining the miniband structure using topology theory. With the present method, it is not necessary to calculate the cosine of the Bloch phase, which may show a numerical overflow in calculation. Numerical results show that use of the miniband edge equations has better numerical stability than traditional methods in calculating the minibands of complex basis superlattices.
SDGs
Type
journal article