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Magnetic Semiconductors are Frustrated Ferromagnets

2001/08/29 by Gergely Zaránd, Gergely Zarand, Zarand, Gergely +3
Engineering · Materials Science · Physics and Astronomy · #FOS: Physical sciences #Magnetic Field Sensors Techniques #Magnetic and transport properties of perovskites and related materials #Magnetic properties of thin films #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.str-el

paper · pdf · doi:10.48550/arxiv.cond-mat/0108477

4 pages RevTEx 3.0, 2 EPS figures

arxiv created 2001/08/29 · openalex publication_date 2001/08/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Starting from microscopic and symmetry considerations, we derive the Hamiltonian describing the exchange interaction between the localized Mn spins and the valence band holes in Ga1-xMnx As. We find that due to the strong spin-orbit coupling in the valence band, this exchange interaction has a rather complex structure and generates a highly anisotropic effective interaction between the Mn spins. The corresponding ground state has a finite ferromagnetic magnetization but is intrinsically spin-disordered even at zero temperature.

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