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A new approach to the ground state of quantum-Hall systems

2000/03/14 by S. A. Mikhailov, Mikhailov, S. A.
Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.48550/arxiv.cond-mat/0003228

ReVTeX, 5 pages with 3 figures included; some formulas [eqs. (6)-(9)], one figure (fig 2), some new refs. and new results are added

arxiv created 2000/06/19 · arxiv updated 2009/11/30

Abstract

I present variational solutions of the many-body Schrödinger equation for a two-dimensional electron system in strong magnetic fields, which have, at ν=1, the energy about 46% lower than the energy of the Laughlin liquid. At ν=2/3, I obtain the energy, about 29% lower than was reported so far.

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