Physics – Condensed Matter
Scientific paper
2002-12-11
J.Phys. A36 (2003) L425-L432
Physics
Condensed Matter
9 pages Latex, version to appear in Journal of Physics A
Scientific paper
10.1088/0305-4470/36/26/101
We analyse the expression for the conductance of a quantum wire which is decribed by an integrable quantum field theory. In the high temperature regime we derive a simple formula for the filling fraction. This expression involves only the inverse of a matrix which contains the information of the asymptotic phases of the scattering matrix and the solutions of the constant thermodynamic Bethe ansatz equations. Evaluating these expressions for minimal affine Toda field theory we recover several sequences of rational numbers, which are multiples of the famous Jain sequence for the filling fraction occurring in the context of the fractional quantum Hall effect. For instance we obtain $\nu= 4 m/(2m +1)$ for $A_{4m-1}$-minimal affine Toda field theory. The matrices involved have in general non-rational entries and are not part of previous classification schemes based on integral lattices.
Castro-Alvaredo Olalla A.
Fring Andreas
No associations
LandOfFree
Rational sequences for the conductance in quantum wires from affine Toda field theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Rational sequences for the conductance in quantum wires from affine Toda field theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rational sequences for the conductance in quantum wires from affine Toda field theories will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-637844