Orthogonality theorem for a one-dimensional-electron gas with a bounded spectrum |
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Authors: | V G Marikhin |
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Institution: | (1) L. D. Landau Institute of Theoretical Physics, Russian Academy of Sciences, 142432 Chernogolovka, Moscow Region, Russia |
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Abstract: | The overlap between the ground-state wave functions of a one-dimensional electron gas with the Hamiltonians Ĥ
0 and
, where
is the impurity potential, is calculated. It is shown that in the limit of an infinite potential the overlap vanishes as
M
−1/8 as M→∞, where M is the number of filled levels, while in the case of a weak potential this overlap differs little from 1. A relation is found
between the magnitude of the overlap and the behavior of the density of states near the Fermi energy (statistics of the levels).
The possibility of linearization of the spectrum and the possibility of performing a bosonization procedure are discussed
in light of the results obtained.
Pis'ma Zh. éksp. Teor. Fiz. 64, No. 1, 57–60 (10 July 1996) |
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Keywords: | |
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