Bilayer Quantum Hall Systems at Filling Factor ν=2: An Exact Diagonalisation Study

Abstract

We present an exact diagonalisation study of bilayer quantum Hall systems at a filling factor of two in the spherical geometry. We find the high-Zeeman-coupling phase boundary of the broken symmetry canted antiferromagnet is given exactly by previous Hartree-Fock mean-field theories, but that the state's stability at weak Zeeman coupling has been qualitatively overestimated. In the absence of interlayer tunneling, degeneracies occur between total spin multiplets due to the Hamiltonian's invariance under independent spin-rotations in top and bottom two-dimensional electron layers.

Some remarks added in the discussion of the phase diagram, and some typos corrected. Version to be published in Phys. Rev. Lett

References in corpus (1)

• Broken Symmetry Ground States in ν=2 Bilayer Quantum Hall Systems

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