Gauge Fields and Pairing in Double-Layer Composite Fermion Metals

Abstract

A symmetrically doped double layer electron system with total filling fraction $\nu =1/m$ decouples into two even denominator ($\nu =1/2m$) composite fermion `metals' when the layer spacing is large. Out-of-phase fluctuations of the statistical gauge fields in this system mediate a singular attractive pairing interaction between composite fermions in different layers. A strong-coupling analysis shows that for any layer spacing $d$ this pairing interaction leads to the formation of a paired quantum Hall state with a zero-temperature gap $\Delta (0)\propto 1/d^2$. The less singular in-phase gauge fluctuations suppress the size of the zero-temperature gap, $\Delta (0)\propto 1/\left(d^2(\ln d{)}^6\right)$, but do not eliminate the instability.

10 pages, 1 postscript figure, revtex

References in corpus (6)

• Spontaneous Inter-layer Coherence in Double-Layer Quantum-Hall Systems I: Charged Vortices and Kosterlitz-Thouless Phase Transitions
• On the low energy properies of fermions with singular interactions
• Quantum Ferromagnetism and Phase Transitions in Double-Layer Quantum Hall Systems
• Non-Fermi Liquid Fixed Point in 2+1 Dimensions
• Singularities in the Fermi liquid description of a partially filled Landau level and the energy gaps of fractional quantum Hall states
• Compressible Phase of a Double-Layer Electron System with Total Landau-Level Filling Factor One-Half

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