Rigidity of the Laughlin Liquid
Journal Article
·
· Journal of Statistical Physics
- Université Grenoble Alpes & CNRS, LPMMC (UMR 5493) (France)
- University of Vienna, Faculty of Physics (Austria)
We consider general N-particle wave functions that have the form of a product of the Laughlin state with filling factor 1/ℓ and an analytic function of the N variables. This is the most general form of a wave function that can arise through a perturbation of the Laughlin state by external potentials or impurities, while staying in the lowest Landau level and maintaining the strong correlations of the original state. We show that the perturbation can only shift or lower the 1-particle density but nowhere increase it above a maximum value. Consequences of this bound for the response of the Laughlin state to external fields are discussed.
- OSTI ID:
- 22788036
- Journal Information:
- Journal of Statistical Physics, Journal Name: Journal of Statistical Physics Journal Issue: 2 Vol. 172; ISSN JSTPBS; ISSN 0022-4715
- Country of Publication:
- United States
- Language:
- English
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