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Junctions of three quantum wires and the dissipative Hofstadter model

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arxiv cond-mat/0305121 v1 pith:U3XL63EA submitted 2003-05-07 cond-mat.str-el cond-mat.mes-hallhep-th

Claudio Chamon , Masaki Oshikawa , Ian Affleck This is my paper · ORCID
classification cond-mat.str-elcond-mat.mes-hallhep-th
keywords quantumproblemdissipativefieldhofstadterjunctionmagneticnon-trivial
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We study a junction of three quantum wires enclosing a magnetic flux. This is the simplest problem of a quantum junction between Tomonaga-Luttinger liquids in which Fermi statistics enter in a non-trivial way. We present a direct connection between this problem and the dissipative Hofstadter problem, or quantum Brownian motion in two dimensions in a periodic potential and an external magnetic field, which in turn is connected to open string theory in a background electromagnetic field. We find non-trivial fixed points corresponding to a chiral conductance tensor leading to an asymmetric flow of the current.

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Cited by 3 Pith papers

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