Conductivity of Paired Composite Fermions
Kerwin C. Foster, N.E. Bonesteel, and Steven H. Simon
TL;DR
This paper presents a phenomenological model of the nu=5/2 quantum Hall state, combining composite fermion theory with p-wave pairing, and calculates the resulting electromagnetic response and conductivity for experimental comparison.
Contribution
It introduces a combined framework of CF theory and p-wave pairing to describe the nu=5/2 state, providing new predictions for conductivity responses.
Findings
Calculated electromagnetic response functions for the paired CF state.
Derived the longitudinal conductivity as a function of q and omega.
Provided theoretical predictions for experimental measurements.
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.
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