Electron conductivity and second generation Composite Fermions
Matteo Merlo (1), Nicodemo Magnoli (2), Maura Sassetti (1) and, Bernhard Kramer (3) ((1) Dipartimento di Fisica, INFM-LAMIA, Universit\`a di, Genova, Italy, (2) Dipartimento di Fisica, INFN, Universit\`a di Genova,, Italy, (3) I. Institut fuer Theoretische Physik

TL;DR
This paper extends the understanding of electron conductivity to second generation Composite Fermions, highlighting the importance of the coupling matrix and applying the theory to explain experimental observations of spin polarization and resistivity.
Contribution
It introduces a model for second generation Composite Fermions that accounts for experimental anomalies in spin polarization and resistivity.
Findings
The conductivity relation depends critically on the Chern-Simons gauge field coupling matrix.
The model explains anomalous spin polarization plateaus.
The model accounts for maxima in resistivity observed in experiments.
Abstract
The relation between the conductivity tensors of Composite Fermions and electrons is extended to second generation Composite Fermions. It is shown that it crucially depends on the coupling matrix for the Chern-Simons gauge field. The results are applied to a model of interacting Composite Fermions that can explain both the anomalous plateaus in spin polarization and the corresponding maxima in the resistivity observed in recent transport experiments.
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