Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2001-09-18
Phys. Rev. Lett. 88, 036801 (2002)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
4 pages, 3 figures
Scientific paper
10.1103/PhysRevLett.88.036801
We study quantum Hall ferromagnets in the presence of a random electrostatic impurity potential. Describing these systems with a classical non-linear sigma model and using analytical estimates supported by results from numerical simulations, we examine the nature of the ground state as a function of disorder strength, $\Delta$, and deviation, $\delta \nu$, of the average Landau level filling factor from unity. Screening of an impurity potential requires distortions of the spin configuration, and in the absence of Zeeman coupling there is a disorder-driven, zero-temperature phase transition from a ferromagnet at small $\Delta$ and $|\delta \nu|$ to a spin glass at larger $\Delta$ or $|\delta \nu|$. We examine ground-state response functions and excitations.
Chalker John T.
Lee Derek K. K.
Rapsch S.
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