Abstract
We present self-consistent results for an arbitrary profile of quantum wires based on the simultaneous solution of Schrödinger and Poisson equations. We employed a discrete basis method to describe the Hamiltonian of the system. In our description the Fermi energy level is fixed as a constant value. Numerical results are discussed for rectangular quantum wires, which can be obtained e.g. from permanent plastic deformation of δ -doped samples. We rigorously discuss the conditions in which effects of bi-stability exist or not in quantum wires. Hysteresis effects occur only if the exchange-correlation term of energy is taken into account in the formalism.
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