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

Abstract

We report on a study of a bilayer two-dimensional electron gas at Landau level filling factor $\nu =2$. The system exhibits both magnetic and spontaneous interlayer phase coherence broken symmetries. We propose a 3-parameter Slater determinant variational wavefunction which describes the ground state over the full range of bias potential (${\Delta }_V$) Zeeman coupling (${\Delta }_z$) and interlayer tunneling amplitude (${\Delta }_t$) strengths. Broken symmetry states occur inside a volume in this three-dimensional phase diagram near the ${\Delta }_z^2={\Delta }_V^2+{\Delta }_t^2$ surface. We have obtained analytic results for the intersections of the phase diagram with the ${\Delta }_t=0$, ${\Delta }_z=0$, and ${\Delta }_V=0$, planes and show that the differential capacitance of the bilayer system is singular at the phase boundary.

26 pages, 8 figures, submitted to Phys. Rev. B

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