Conductivity of Paired Composite Fermions

Abstract

We develop a phenomenological description of the nu=5/2 quantum Hall state in which the Halperin-Lee-Read theory of the half-filled Landau level is combined with a p-wave pairing interaction between composite fermions (CFs). The electromagnetic response functions for the resulting mean-field superconducting state of the CFs are calculated and used in an RPA calculation of the q and omega dependent longitudinal conductivity of the physical electrons, a quantity which can be measured experimentally.

References in corpus (9)

• Transition from quantum Hall to compressible states in the second Landau level: new light on the $\nu$=5/2 enigma
• Incompressible paired Hall state, stripe order and the composite fermion liquid phase in half-filled Landau levels
• Exact Quantization of Even-Denominator Fractional Quantum Hall State at $\nu$=5/2 Landau Level Filling Factor
• Gauge Fields and Pairing in Double-Layer Composite Fermion Metals
• Finite-Wavevector Electromagnetic Response of Fractional Quantized Hall States
• Bi-layer Paired Quantum Hall States and Coulomb Drag
• Paired fractional quantum Hall states and the nu=5/2 puzzle
• Singular Pair Breaking in the Composite Fermi Liquid Description of the Half-Filled Landau Level
• Experimental Demonstration of Fermi Surface Effects at Filling Factor 5/2

Cited by in corpus (4)

• Electronic transport in an array of quasi-particles in the nu=5/2 non-abelian quantum Hall state
• Landau level mixing in the nu=5/2 fractional quantum Hall state
• Three-body correlations and finite-size effects in the Moore--Read states on a sphere
• The Weakly Coupled Pfaffian as a Type I Quantum Hall Liquid