Ferromagnetic-antiferromagnetic Competition in Diluted Magnetic Semiconductors
Main Article Content
Abstract
The signature of the magnetic competition in a nearly filled impurity band diluted magnetic semiconductors is addressed. In the formalism of the Kondo lattice model, self-consistent equations determining the Green function of the itinerant carrier in the system are evaluated by use of the dynamical mean-field theory. An analytical solution of the static spin susceptibility of the itinerant carrier to specify the magnetic instability is then established. Once the impurity band is nearly filled, one finds the antiferromagnetic instability against the ferromagnetic state. Phase diagrams of the magnetic structures in the diluted magnetic semiconductor were also discussed.
Keywords:
III-V and II-VI semiconductors, Ferromagnetic-antiferromagnetic, Kondo lattice, Saturation moments and magnetic susceptibilities.
References
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[5] T. Dietl, H. Ohno, F. Matsukura, J. Cibert, D. Ferrand, Zener Model Description of Ferromagnetism in Zinc-Blende Magnetic Semiconductors, Science, Vol. 287, No. 5455, 2000, pp. 1019-1022, https://doi.org/10.1126/science.287.5455.1019
[6] A. Chattopadhyay, S. D. Sarma, A. J. Millis, Transition Temperature of Ferromagnetic Semiconductors: A Dynamical Mean Field Study, Physical Review Letters, Vol. 87, No. 22, 2001, pp. 2272021-2272024, https://doi.org/10.1103/PhysRevLett.87.227202.
[7] A. Kaminski, S. Das Sarma, Magnetic and Transport Percolation in Diluted Magnetic Semiconductors, Physical Review B, Vol. 68, No. 23, 2003, pp. 23521011-23521016, https://doi.org/10.1103/PhysRevB.68.235210.
[8] S. D. Sarma, E. H. Hwang, A. Kaminski, Temperature-Dependent Magnetization in Diluted Magnetic Semiconductors, Physical Review B, Vol. 67, No. 15, 2003, pp. 1552011-15520116, https://doi.org/10.1103/PhysRevB.67.155201.
[9] V. M. Galitski, A. Kaminski, S. Das Sarma, Griffiths Phase in Diluted Magnetic Semiconductors, Physical Review Letters, Vol. 92, No. 17, 2004, pp. 17720311-17720314, https://doi.org/10.1103/PhysRevLett.92.177203.
[10] A. Kaminski, V. M. Galitski, S. D. Sarma, Ferromagnetic and Random Spin Ordering in Dilute Magnetic Semiconductors, Physical Review B, Vol. 70, No. 11, 2004, pp. 1152161-1152168, https://doi.org/10.1103/PhysRevB.70.115216.
[11] P. Nyhus, S. Yoon, M. Kauffman, S. L. Cooper, Z. Fisk, J. Sarrao, Spectroscopic Study of Bound Magnetic Polaron Formation and the Metal-Semiconductor Transition in EuB6, Physical Review B, Vol. 56, No. 5, 1997, pp. 2717-2721, https://doi.org/10.1103/PhysRevB.56.2717.
[12] D.-H. Bui, Q.-H. Ninh, H.-N. Nguyen, V.-N. Phan, Ferromagnetic Transition and Spin Fluctuations in Diluted Magnetic Semiconductors, Physical Review B Vol. 99, No. 4, 2019, pp. 045123(1-11), https://doi.org/10.1103/PhysRevB.99.045123.
[13] A. Georges, G. Kotliar, W. Krauth, M. J. Rozenberg, Dynamical Mean-Field Theory of Strongly Correlated Fermion Systems and the Limit of Infinite Dimensions, Reviews of Modern Physics Vol. 68 No. 1, 1996, pp. 13-125, https://doi.org/10.1103/RevModPhys.68.13.
[14] E. H. Hwang, S. D. Sarma, Transport Properties of Diluted Magnetic Semiconductors: Dynamical Mean-Field Theory and Boltzmann Theory, Physical Review B Vol. 72 No. 3, 2005, pp. 035210(1-15), https://doi.org/10.1103/PhysRevB.72.035210.
[15] V. N. Phan, H. N. Nguyen, Magnetic Features Near Filled Impurity Band in Diluted Magnetic Semiconductors, Physical Review B, Vol. 102 No. 12, 2020, pp. 1252021-1252026, https://doi.org/10.1103/PhysRevB.102.125202.
[16] J. K. Freericks, V. Zlatic, Exact Dynamical Mean-Field Theory of the Falicov-Kimball Model , Reviews of Modern Physics , Vol. 75, No. 4, 2003, 1333-1382, https://doi.org/10.1103/RevModPhys.75.1333.
[17] T. Jungwirth, J. Sinova, J. Masek, J. Kucera, A. H. MacDonald, Theory of ferromagnetic (III,Mn)V Semiconductors, Reviews of Modern Physics, Vol. 78, No. 3, 2006, pp. 809-864, https://doi.org/10.1103/RevModPhys.78.809.
[18] U. Brandt, C. Mielsch, Thermodynamics of the Falicov-Kimball Model in Large Dimensions II, Zeitschrift für Physik B Condensed Matter, Vol. 75, No. 1, 1990, pp. 395-399, https://doi.org/10.1007/BF01406598.