Lieb-Mattis ferrimagnetism in diluted magnetic semiconductors

Abstract

We show the possibility of long-range ferrimagnetic ordering with a saturation magnetisation of the order of 1 Bohr magneton per spin for arbitrarily low concentration of magnetic impurities in semiconductors, provided that the impurities form a superstructure satisfying the conditions of the Lieb-Mattis theorem. Explicit examples of such superstructures are given for the wurtzite lattice, and the temperature of ferrimagnetic transition is estimated from a high-temperature expansion. Exact diagonalization studies show that small fragments of the structure exhibit enhanced magnetic response and isotropic superparamagnetism at low temperatures. A quantum transition in a high magnetic field is considered and similar superstructures in cubic semiconductors are discussed as well.

arXiv comment6 pages,4 figures

References in corpus (12)

• Spintronics: Fundamentals and applications
• Ferromagnetism in semiconductors and oxides: prospects from a ten years' perspective
• Spinodal nanodecomposition in magnetically doped semiconductors
• The spin-1/2 J1-J2 Heisenberg antiferromagnet on the square lattice: Exact diagonalization for N=40 spins
• Quantum magnetism in two dimensions: From semi-classical Néel order to magnetic disorder
• Tenth-order high-temperature expansion for the susceptibility and the specific heat of spin-s Heisenberg models with arbitrary exchange patterns: Application to pyrochlore and kagome magnets
• Eighth-order high-temperature expansion for general Heisenberg Hamiltonians
• Quantum s = 1/2 Antiferromagnets on Archimedean Lattices: The Route from Semiclassical Magnetic Order to Nonmagnetic Quantum States
• Magnetization steps in Zn_(1-x)Mn_xO: Four largest exchange constants and single-ion anisotropy
• Magnetic phases of the mixed-spin $J_1-J_2$ Heisenberg model on a square lattice
• Frustrated quantum Heisenberg ferrimagnetic chains
• Geometrical origin of ferrimagnetism and superparamagnetism in Fe-based double perovskite multiferroics

Cited by in corpus (4)

• Comment on `Oxygen vacancy-induced magnetic moment in edge-sharing CuO${}_2$ chains of Li${}_2$CuO${}_2$'
• Ab initio ligand field approach to determine electronic multiplet properties
• Interface magnetism and electronic structure: ZnO(0001)/Co3O4(111)
• New trends in the nanophysics of ferroics, relaxors and multiferroics