This article is dedicated to Dieter Vollhardt on the occasion of his 60th birthday.
The last word in strong correlations†
Article first published online: 13 SEP 2011
Copyright © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Annalen der Physik
Special Issue: Special Topic Issue “Electronic Correlations in Models and Materials”
Volume 523, Issue 8-9, pages 751–758, August 2011
How to Cite
Shankar, R. (2011), The last word in strong correlations. Ann. Phys., 523: 751–758. doi: 10.1002/andp.201100017
- Issue published online: 13 SEP 2011
- Article first published online: 13 SEP 2011
- Manuscript Accepted: 5 APR 2011
- Manuscript Received: 27 JAN 2011
- NSF. Grant Number: DMR-0901903
- Landau level;
- fractional quantum Hall effect;
- composite fermions.
In the Fractional Quantum Hall Effect (FQHE), in the noninteracting limit, only a fraction ν of the Lowest Landau Level (LLL) is occupied, producing a huge degeneracy. Interactions lift this degeneracy and mix in higher LL's. In the limit in which we ignore all but the LLL (i.e., let the inverse electron mass 1/m ∞), the kinetic energy is an irrelevant constant and the ratio of potential to kinetic energy is essentially infinite, making this the most strongly correlated problem imaginable. I give a telegraphic review of the Hamiltonian Theory of the FQHE developed with Ganpathy Murthy that deals with this problem with some success. A nodding acquaintance with FQHE physics is presumed.