Interaction Energy of Quasi Particles in the Quantum Hall Systems

Heidi Kjønsberg, Jon Magne Leinaas

建一 浅野

Philip C. E. Stamp

It is shown how quasi-particle quantum numbers may be defined and calculated for interacting Fermi systems in 2 and 3 dimensions. Exact results are given for charged and neutral Fermi systems, both normal and superfluid, in 3 dimensions, and for Cherns-Simons implementations of anion theories in 2 dimensions. The latter is applied to the fractional Hall effect. In all cases, the local quasi-particle quantum numbers vary continuously with interactions and/or temperature.

Kentaro Nomura, D. Yoshioka

The quasi-particle tunneling phenomena in the paired fractional quantum Hall states are studied. A single point-contact system is first considered. Because of relevancy of the quasi-particle tunneling term, the strong tunneling regime should be investigated. Using the instanton method it is shown that the strong quasi-particle tunneling regime is described as the weak electron tunneling regime effectively. Expanding to the network model the paired quantum Hall liquid to insulator transition is discussed.

Hideo Aoki

S. B. Mulay, John J. Quinn, Mark Shattuck