Magnetic Anisotropy in Quantum Hall Ferromagnets
T. Jungwirth, S.P. Shukla, L. Smrcka, M. Shayegan, and A.H. MacDonald
TL;DR
This paper investigates how magnetic anisotropy energy sign in quantum Hall ferromagnets depends on electrostatic and exchange energies, revealing conditions for easy-axis ferromagnetism and reentrant quantum Hall effects.
Contribution
It provides a theoretical and experimental analysis of magnetic anisotropy in quantum Hall ferromagnets, highlighting the role of Landau level crossings and tilt angles.
Findings
Reentrant quantum Hall effect observed at high tilt angles.
Easy-axis ferromagnetism occurs near Landau level crossings.
Magnetic anisotropy energy sign is determined by energy competition.
Abstract
We show that the sign of magnetic anisotropy energy in quantum Hall ferromagnets is determined by a competition between electrostatic and exchange energies. Easy-axis ferromagnets tend to occur when Landau levels whose states have similar spatial profiles cross. We report measurements of integer QHE evolution with magnetic-field tilt. Reentrant behavior observed for the QHE at high tilt angles is attributed to easy-axis anisotropy. This interpretation is supported by a detailed calculation of the magnetic anisotropy energy.
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