Journal of the Physical Society of Japan
Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015
Many-Body Effects on the Transmission Probability through a Tunnel Junction in a Strong Magnetic Field
Toshihiro KuboArisato Kawabata
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2003 Volume 72 Issue 7 Pages 1706-1717

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Abstract
We investigate effects of electron–electron interaction on the transmission probability of electrons through a tunnel junction in a strong magnetic field. We start with the Hartree–Fock approximation, and we show that the coulomb interaction, which gives rise to the divergence of Fock correction, should be replaced by the dynamically screened interaction. We also show that we should use the bare coulomb interaction for Hartree term. We take into account higher order contributions using a simple renormalization group approach. The temperature dependence of the transmission probability is qualitatively similar to that of a one-dimensional system.
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© The Physical Society of Japan 2003
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