John Schliemann, S. M. Girvin, A. H. MacDonald
Published 2000-06-20, updated 2001-01-03Version 2
At small layer separations, the ground state of a nu=1 bilayer quantum Hall system exhibits spontaneous interlayer phase coherence and has a charged-excitation gap E_g. The evolution of this state with increasing layer separation d has been a matter of controversy. In this letter we report on small system exact diagonalization calculations which suggest that a single phase transition, likely of first order, separates coherent incompressible (E_g >0) states with strong interlayer correlations from incoherent compressible states with weak interlayer correlations. We find a dependence of the phase boundary on d and interlayer tunneling amplitude that is in very good agreement with recent experiments.
Comments: 4 pages, 4 figures included, version to appear in Phys. Rev. Lett
Journal: Phys. Rev. Lett. 86, 1849 (2001)
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$ν=2$ Bilayer Quantum Hall System in Tilted Magnetic Field
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