Junctions of Three Quantum Wires and the Dissipative Hofstadter Model

Claudio Chamon, Masaki Oshikawa, and Ian Affleck
Phys. Rev. Lett. 91, 206403 – Published 13 November 2003

Abstract

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 nontrivial 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 nontrivial fixed points corresponding to a chiral conductance tensor leading to an asymmetric flow of the current.

  • Figure
  • Received 25 April 2003

DOI:https://doi.org/10.1103/PhysRevLett.91.206403

©2003 American Physical Society

Authors & Affiliations

Claudio Chamon1, Masaki Oshikawa2, and Ian Affleck1

  • 1Department of Physics, Boston University, Boston, Massachusetts 02215, USA
  • 2Department of Physics, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo 152-8551 Japan

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Issue

Vol. 91, Iss. 20 — 14 November 2003

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