dorsal/arxiv
View SchemaStabilization of impurity states in crossed magnetic and electric fields
| Authors | Katarzyna Krajewska, Jerzy Z. Kaminski |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0111148 |
| URL | https://arxiv.org/abs/quant-ph/0111148 |
| DOI | 10.1063/1.1491596 |
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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"abstract": "It is shown that the renormalizability of the zero-range interaction in the\ntwo-dimensional space is always followed by the existence of a bound state,\nwhich is not true for odd-dimensional spaces. A renormalization procedure is\ndefined and the exact retarded Green\u0027s function for electrons moving in two\ndimensions and interacting with both crossed magnetic and electric fields and\nan attractive zero-range interaction is constructed. Imaginary parts of poles\nof this Green\u0027s function determine lifetimes of quasi-bound (resonance) states.\nIt is shown that for some particular parameters the stabilization against decay\noccurs even for strong electric fields.",
"arxiv_id": "quant-ph/0111148",
"authors": [
"Katarzyna Krajewska",
"Jerzy Z. Kaminski"
],
"categories": [
"quant-ph"
],
"doi": "10.1063/1.1491596",
"title": "Stabilization of impurity states in crossed magnetic and electric fields",
"url": "https://arxiv.org/abs/quant-ph/0111148"
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