Thermal Transport in Chiral Conformal Theories and Hierarchical Quantum Hall States

Details Thermal Transport in Chiral Conformal Theories and Hierarchical Quantum Hall States Thermal Transport in Chiral Conformal Theories and Hierarchical Quantum Hall States

2001-11-22

arxiv.org/abs/cond-mat/0111437v1

Nucl.Phys.B636:568-582,2002

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Latex, 17 pages, 2 figures

Scientific paper

10.1016/S0550-3213(02)00340-1

Chiral conformal field theories are characterized by a ground-state current at finite temperature, that could be observed, e.g. in the edge excitations of the quantum Hall effect. We show that the corresponding thermal conductance is directly proportional to the gravitational anomaly of the conformal theory, upon extending the well-known relation between specific heat and conformal anomaly. The thermal current could signal the elusive neutral edge modes that are expected in the hierarchical Hall states. We then compute the thermal conductance for the Abelian multi-component theory and the W-infinity minimal model, two conformal theories that are good candidates for describing the hierarchical states. Their conductances agree to leading order but differ in the first, universal finite-size correction, that could be used as a selective experimental signature.

Affiliated with

Also associated with

No associations

Rating

Thermal Transport in Chiral Conformal Theories and Hierarchical Quantum Hall States 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 Thermal Transport in Chiral Conformal Theories and Hierarchical Quantum Hall States, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Thermal Transport in Chiral Conformal Theories and Hierarchical Quantum Hall States will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-9778