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Stabilization of impurity states in crossed magnetic and electric fields
2002
Journal of Mathematical Physics
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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
doi:10.1063/1.1491596
fatcat:j6ecervfwjdgboksxf5p7543ku