Hysteretic resistance spikes in quantum Hall ferromagnets without domains

Abstract

We use spin-density-functional theory to study recently reported hysteretic magnetoresistance xx spikes in Mn-based 2D electron gases [Jaroszy\'nski et al. Phys. Rev. Lett. (2002)]. We find hysteresis loops in our calculated Landau fan diagrams and total energies signaling quantum-Hall-ferromagnet phase transitions. Spin-dependent exchange-correlation effects are crucial to stabilize the relevant magnetic phases arising from distinct symmetry-broken excited- and ground-state solutions of the Kohn-Sham equations. Besides hysteretic spikes in xx, we predict hysteretic dips in the Hall resistance xy. Our theory, without domain walls, satisfactorily explains the recent data.

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