We prove the existence and we give the semiclassical magnetic asymptotics of the magnetic bands in superlattices. We use the Wannier single-band approximation which leads to a dual semiclassical Bloch model with a band function as potential. A picture of x-dependent bands suggests exponentially small magnetic gap widths as given by the beating effect of a Zener double well.
Weak-field magnetic bands in superlattices and the single-band approximation / Grecchi, V.; Sacchetti, Andrea. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - STAMPA. - 22:(1989), pp. 4989-5006.
Weak-field magnetic bands in superlattices and the single-band approximation
SACCHETTI, Andrea
1989
Abstract
We prove the existence and we give the semiclassical magnetic asymptotics of the magnetic bands in superlattices. We use the Wannier single-band approximation which leads to a dual semiclassical Bloch model with a band function as potential. A picture of x-dependent bands suggests exponentially small magnetic gap widths as given by the beating effect of a Zener double well.
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