Junctions of three quantum wires and the dissipative Hofstadter model

Details Junctions of three quantum wires and the dissipative Hofstadter model Junctions of three quantum wires and the dissipative Hofstadter model

2003-05-07

arxiv.org/abs/cond-mat/0305121v1

Phys.Rev.Lett. 91 (2003) 206403

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.91.206403

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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