Microscopic theory of the quantum Hall hierarchy
2007 (English)In: Physical Review Letters, ISSN 0031-9007, Vol. 99, no 25, 256803-1-256803-4 p.Article in journal (Refereed) Published
We solve the quantum Hall problem exactly in a limit and show that the ground states can be organized in a fractal pattern consistent with the Haldane-Halperin hierarchy, and with the global phase diagram. We present wave functions for a large family of states, including those of Laughlin and Jain and also for states recently observed by Pan et al., and show that they coincide with the exact ones in the solvable limit. We submit that they establish an adiabatic continuation of our exact results to the experimentally accessible regime, thus providing a unified approach to the hierarchy states.
Place, publisher, year, edition, pages
2007. Vol. 99, no 25, 256803-1-256803-4 p.
Research subject Physics
IdentifiersURN: urn:nbn:se:su:diva-37206DOI: 10.1103/PhysRevLett.99.256803ISI: 000251887100047OAI: oai:DiVA.org:su-37206DiVA: diva2:295416