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Tunneling through two resonant levels: Fixed points and conductances

Rao, S and Sen, D (2004) Tunneling through two resonant levels: Fixed points and conductances. In: Physical Review B, 70 (19). 195115-1-195115-6.

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We study point contact tunneling between two leads of a Tomonaga-Luttinger liquid through two degenerate resonant levels in parallel. This is one of the simplest cases of a quantum junction problem where the Fermi statistics of the electrons plays a nontrivial role through the Klein factors appearing in bosonization. Using a mapping to a "generalized Coulomb model" studied in the context of the dissipative Hofstadter model, we find that any asymmetry in the tunneling amplitudes from the two leads grows at low temperatures, so that ultimately there is no conductance across the system. For the symmetric case, we identify a nontrivial fixed point of this model; the conductance at that point is generally different from the conductance through a single resonant level.

Item Type: Journal Article
Publication: Physical Review B
Publisher: The American Physical Society.
Additional Information: Copyright of this article belongs to The American Physical Society.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 19 Dec 2008 19:07
Last Modified: 19 Sep 2010 04:56
URI: http://eprints.iisc.ac.in/id/eprint/17373

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