Dynamics of the edge excitations in the FQH effects
- Massachusetts Inst. of Tech., Cambridge, MA (United States). Dept. of Physics
Fractional quantum Hall effects (FQHE) discovered by Tsui, Stormer and Gossard open a new era in theory of strongly correlated system. In the first time the authors have to completely abandon the theories based on the single-body picture and use an intrinsic many-body theory proposed by Laughlin and others to describe the FQHE. Due to the repulsive interaction, the strongly correlated FQH liquid is an incompressible state despite the first Landau level is only partially filled. All the bulk excitations in the FQH states have finite energy gaps. The FQH states and insulators are similar in the sense that both states have finite energy gap and short ranged electron propagators. Because of this similarity, it is puzzling that the FQH systems apparently have very different transport properties than ordinary insulators. Halperin first point out that the integral quantum Hall (IQH) states contain gapless edge excitations. Although the electronic states in the bulk are localized, the electronic states at the edge of the sample are extended. Therefore the nontrivial transport properties of the IQH states come from the gapless edge excitations. Such an edge transport picture has been supported by many experiments. One also found that the edge excitations in the IQH states are described by a chiral 1D Fermi liquid theory. Here, the authors review the dynamical theory of the edge excitations in the FQH effects.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 37213
- Report Number(s):
- CONF-9105454--
- Journal Information:
- International Journal of Modern Physics B, Journal Name: International Journal of Modern Physics B Journal Issue: 4 Vol. 8; ISSN IJPBEV; ISSN 0217-9792
- Country of Publication:
- United States
- Language:
- English
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