AI Article Synopsis
- The study focuses on a junction of three quantum wires that encircle a magnetic field, exploring how Fermi statistics affect the interaction between Tomonaga-Luttinger liquids.
- The research establishes a link between this quantum junction problem and the dissipative Hofstadter problem, which involves quantum motion within a periodic potential and magnetic field.
- Key findings reveal nontrivial fixed points that result in a chiral conductance tensor, creating an asymmetric current flow in the junction.
Article 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.
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| http://dx.doi.org/10.1103/PhysRevLett.91.206403 | DOI Listing |
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