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Stabilization of impurity states in crossed magnetic and electric fields

Katarzyna Krajewska·Jerzy Z. Kaminski
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Abstract

It is shown that the renormalizability of the zero-range interaction in the two-dimensional space is always followed by the existence of a bound state, which is not true for odd-dimensional spaces. A renormalization procedure is defined and the exact retarded Green's function for electrons moving in two dimensions and interacting with both crossed magnetic and electric fields and an attractive zero-range interaction is constructed. Imaginary parts of poles of this Green's function determine lifetimes of quasi-bound (resonance) states. It is shown that for some particular parameters the stabilization against decay occurs even for strong electric fields.

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Katarzyna Krajewska, Jerzy Z. Kaminski. 2001-11-27. Stabilization of impurity states in crossed magnetic and electric fields. https://doi.org/10.1063/1.1491596

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