Magnetic phenomena at and near nu =1/2 and 1/4: theory, experiment and interpretation

TL;DR

This paper demonstrates that the Hamiltonian theory of Composite Fermions can effectively unify the description of quantum Hall states near filling factors 1/2 and 1/4, aligning well with experimental data on polarization and relaxation rates.

Contribution

It provides a unified theoretical framework using the Hamiltonian theory of Composite Fermions to interpret experimental observations at specific quantum Hall filling factors.

Findings

Fair agreement with experimental polarization data

Consistent interpretation of relaxation rates 1/T_1

Shows how invariance and two-dimensionality simplify the theory

Abstract

I show that the hamiltonian theory of Composite Fermions (CF) is capable of yielding a unified description in fair agreement with recent experiments on polarization P and relaxation rate 1/T_1 in quantum Hall states at filling nu = p/(2ps+1), at and near nu = 1/2 and 1/4, at zero and nonzero temperatures. I show how rotational invariance and two dimensionality can make the underlying interacting theory behave like a free one in a limited context.