Trial Wavefunctions for the Goldstone Mode in Quantum Hall Bilayers
Figure 4
The velocity of the Goldstone mode depends strongly on the layer separation and peaks near . The velocity has significant finite-size effects on the sphere, and therefore we extract an estimate of its value in the thermodynamic limit by extrapolating the finite-size values over the inverse system size (see inset). The main figure shows the resulting velocities for a density balanced bilayer, as well as for a slightly imbalanced system, as discussed in the main text.
