Abstract
The magnetic properties of a magnetic-metal δ layer placed in a nonmagnetic nondegenerate semiconductor matrix are studied theoretically. The diffusion-induced spread of the δ layer, which is inevitable during δ doping, is taken into account, and a model is proposed in which this layer consists of a thin core enriched in metal atoms and a smeared periphery depleted in metal atoms. The exchange and potential scattering of carriers by the core causes confinement states in the form of two-dimensional spin-polarized sub-bands inside the energy gap of the semiconductor. The mechanism of the indirect exchange between impurity spins located in the strongly dilute peripheral region of the δ layer through partly filled confinement states is analyzed. In the case of a ferromagnetic core, impurity spins are oriented along (or opposite to) the core magnetization owing to carrier polarization on the confinement states. The magnetic configuration of impurity spins at the periphery of the δ layer is phenomenologically studied with allowance for the confinement mechanism of the interaction of impurity spins and the superexchange through the deep states in the semiconductor matrix.
Similar content being viewed by others
References
A. M. Nazmul, S. Sugahara, and M. Tanaka, Appl. Phys. Lett. 80, 3120 (2002).
A. M. Nazmul, S. Sugahara, and M. Tanaka, Phys. Rev. B: Condens. Matter 67, 241308(R) (2003).
A. M. Nazmul, S. Kobayashi, S. Sugahara, and M. Tanaka, Physica E (Amsterdam) 21, 937 (2004).
A. M. Nazmul, T. Amemiya, Y. Shuto, S. Sugahara, and M. Tanaka, Phys. Rev. Lett. 95, 017 201 (2005).
B. A. Aronzon, V. A. Kul’bachinskiĭ, V. G. Gurin, A. B. Davydov, V. V. Ryl’kov, A. B. Granovskiĭ, O. V. Vikhrova, Yu. A. Danilov, B. N. Zvonkov, Y. Horikoshi, and K. Onomitsu, Pis’ma Zh. Éksp. Teor. Fiz. 85(1), 32 (2007) [JETP Lett. 85 (1), 27 (2007)].
B. A. Aronzon, A. S. Lagutin, V. V. Ryl’kov, V. V. Tugushev, V. N. Men’shov, A. V. Lashkul, R. Laiho, O. V. Vikhrova, Yu. A. Danilov, and B. N. Zvonkov, Pis’ma Zh. Éksp. Teor. Fiz. 87(3), 192 (2008) [JETP Lett. 87 (3), 164 (2008)].
R. K. Kawakami, E. Johnston-Halperin, L. F. Chen, M. Hanson, N. Guébels, J. S. Speck, A. C. Gossard, and D. D. Awschalom, Appl. Phys. Lett. 77, 2379 (2000).
X. Chen, M. Na, M. Cheon, S. Wang, H. Luo, B. D. McCombe, X. Liu, Y. Sasaki, T. Wojtowicz, J. K. Furdyna, S. J. Potashnik, and P. Schiffer, Appl. Phys. Lett. 81, 511 (2002).
H. Luo, B. D. McCombe, M. H. Na, K. Mooney, F. Lehmann, X. Chen, M. Cheon, S. M. Wang, Y. Sasaki, X. Liu, and J. K. Furdyna, Physica E (Amsterdam) 12, 366 (2002).
B. D. McCombe, M. Na, X. Chen, M. Cheon, S. Wang, H. Luo, X. Liu, Y. Sasaki, T. Wojtowicz, J. K. Furdyna, S. J. Potashnik, and P. Schiffer, Physica E (Amsterdam) 16, 90 (2003).
S. Sanvito and N. Hill, Phys. Rev. Lett. 87, 267 202 (2001).
J. Hong, D. Wang, and R. Wu, Phys. Rev. Lett. 94, 137 206 (2005).
A. Continenza, F. Antoniella, and S. Picozzi, Phys. Rev. B: Condens. Matter 70, 035 310 (2004).
M. C. Qian, C. Y. Fong, Kai Liu, W. E. Pickett, J. E. Pask, and L. H. Yang, Phys. Rev. Lett. 96, 027 211 (2006).
T. Jungwirth, J. Sinova, J. Mašek, J. Kučera, and A. H. MacDonald, Rev. Mod. Phys. 78, 809 (2006).
E. Z. Meilikhov and R. M. Farzetdinova, Pis’ma Zh. Éksp. Teor. Fiz. 87(9), 568 (2008) [JETP Lett. 87 (9), 482 (2008)].
T. Moriya, Spin Fluctuations in Itinerant Electron Magnetism (Springer, Berlin, 1985; Mir, Moscow, 1988).
V. F. Sapega, A. Trampert, and K. H. Ploog, Phys. Rev. B: Condens. Matter 77, 245 301 (2008).
A. P. Lee, C. Zeng, K. van Benthem, M. F. Chisholm, J. Shen, S. V. S. Nageswara Rao, S. K. Dixit, L. C. Feldman, A. G. Petukhov, M. Foygel, and H. H. Weitering, Phys. Rev. B: Condens. Matter 75, 201 201(R) (2007).
S. Caprara, V. Tugushev, P. Echenique, and E. Chulkov, Europhys. Lett. 85, 27 006 (2009).
J. Inoue, S. Nonoyama, and H. Itoh, Phys. Rev. Lett. 85, 4610 (2000); J. Inoue, Phys. Rev. B: Condens. Matter 67, 125 302 (2003).
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Ed. by M. Abramowitz and I. A. Stegun (Dover, New York, 1972; Nauka, Moscow, 1979).
V. Barzykin, Phys. Rev. B: Condens. Matter 71, 155 203 (2005).
M. Kiwi, J. Magn. Magn. Mater. 234, 584 (2001); J. Nogues and I. K. Schuller, J. Magn. Magn. Mater. 192, 203 (1999); A. E. Berkowitz and K. Takano, J. Magn. Magn. Mater. 200, 552 (1999).
H. C. Jeon, T. W. Kang, T. W. Kim, Joongoo Kang, and K. J. Chang, Appl. Phys. Lett. 87, 092 501 (2005).
H. L. Li, H. T. Lin, Y. H. Wu, T. Liu, Z. L. Zhao, G. C. Han, and T. C. Chong, J. Magn. Magn. Mater. 303, e318 (2006).
S. H. Chiu, H. S. Hsu, and J. C. A. Huang, J. Appl. Phys. 103, 07D110 (2008).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.N. Men’shov, V.V. Tugushev, 2009, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2009, Vol. 135, No. 6, pp. 1178–1191.
Rights and permissions
About this article
Cite this article
Men’shov, V.N., Tugushev, V.V. Spin ordering in semiconductor heterostructures with ferromagnetic δ layers. J. Exp. Theor. Phys. 108, 1024–1035 (2009). https://doi.org/10.1134/S1063776109060144
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776109060144