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Tunneling in Quantum Wires: a Boundary Conformal Field Theory Approach

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arxiv cond-mat/9311040 v1 pith:QWTWNEL5 submitted 1993-11-16 cond-mat hep-th

Eugene Wong , Ian Affleck This is my paper · ORCID
classification cond-mathep-th
keywords conformalcriticalpropertiestheorybeenboundaryfieldphases
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abstract

Tunneling through a localized barrier in a one-dimensional interacting electron gas has been studied recently using Luttinger liquid techniques. Stable phases with zero or unit transmission occur, as well as critical points with universal fractional transmission whose properties have only been calculated approximately, using a type of ``$\epsilon$-expansion''. It may be possible to calculate the universal properties of these critical points exactly using the recent boundary conformal field theory technique, although difficulties arise from the $\infty$ number of conformal towers in this $c=4$ theory and the absence of any apparent ``fusion'' principle. Here, we formulate the problem efficiently in this new language, and recover the critical properties of the stable phases.

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Cited by 6 Pith papers

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