Bilayer quantum Hall system at ${\nu }_t=1$: pseudospin models and in-plane magnetic field

Abstract

We investigate two theoretical pseudomagnon-based models for a bilayer quantum Hall system (BQHS) at total filling factor ${\nu }_t=1$. We find a unifying framework which elucidates the different approximations that are made. We also consider the effect of an in-plane magnetic field in BQHSs at ${\nu }_t=1$, by deriving an equation for the ground state energy from the underlying microscopic physics. Although this equation is derived for small in-plane fields, its predictions agree with recent experimental findings at stronger in-plane fields, for low electron densities. We also take into account finite-temperature effects by means of a renormalisation group analysis, and find that they are small at the temperatures that were investigated experimentally.

9 pages, 2 figures; improved figures; added references; minor changes in text. Accepted for publication in PRB

References in corpus (3)

• Charge Imbalance and Bilayer 2D Electron Systems at ${\nu }_T=1$
• Lowest Landau level bosonization
• Pseudospin Soliton in the $\nu =1$ Bilayer Quantum Hall State

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• Role of the compensating current in the weak Josphson coupling regime: An extended study on excitonic Josephson junctions