Effect of magnon-exciton coupling on magnetic phase transition of diluted magnetic semiconductors

Dereje Fufa; Chernet Amente; Dereje Fufa; Chernet Amente

doi:10.3934/matersci.2019.3.328

AIMS Materials Science

2019, Volume 6, Issue 3: 328-334. doi: 10.3934/matersci.2019.3.328

Previous Article Next Article

Research article

Effect of magnon-exciton coupling on magnetic phase transition of diluted magnetic semiconductors

Dereje Fufa ,
Chernet Amente ^,

Physics Department, Addis Ababa University, P. O. Box 1176, Addis Ababa, Ethiopia

Received: 02 March 2019 Accepted: 17 April 2019 Published: 24 April 2019

This article reports effects of magnon-exciton interaction on magnetic ordering in diluted magnetic semiconductors (DMS). Quantum field theory is employed using the double time temperature dependent Green function technique to obtain dispersion. It is understood that interaction of the two quasi particles take place in the exciton cloud and consequently the spontaneously ordered localized electrons might be partly trapped and subjected to different angular precision resulting in increase ofthe number of magnons. According to our analysis the exciton-magnon coupling phenomena may be the reason for the attenuation of spontaneous magnetization and ferromagnetic transition temperature T_c. Further observations indicate that there is a significant departure of magnetic impurity concentration, x_m, vs. T_c relation from the linearity as suggested by electronic calculations and experimental estimations near absolute zero temperature.
- DMS,
- exciton,
- magnetization,
- phase transition,
- spinwaves
Citation: Dereje Fufa, Chernet Amente. Effect of magnon-exciton coupling on magnetic phase transition of diluted magnetic semiconductors[J]. AIMS Materials Science, 2019, 6(3): 328-334. doi: 10.3934/matersci.2019.3.328

Related Papers:

Abstract

This article reports effects of magnon-exciton interaction on magnetic ordering in diluted magnetic semiconductors (DMS). Quantum field theory is employed using the double time temperature dependent Green function technique to obtain dispersion. It is understood that interaction of the two quasi particles take place in the exciton cloud and consequently the spontaneously ordered localized electrons might be partly trapped and subjected to different angular precision resulting in increase ofthe number of magnons. According to our analysis the exciton-magnon coupling phenomena may be the reason for the attenuation of spontaneous magnetization and ferromagnetic transition temperature T_c. Further observations indicate that there is a significant departure of magnetic impurity concentration, x_m, vs. T_c relation from the linearity as suggested by electronic calculations and experimental estimations near absolute zero temperature.

References

[1]	Munekata H, Ohno H, Von Molnar S, et al. (1989) Diluted magnetic III-V semiconductors. Phys Rev Lett 63: 1849–1852. doi: 10.1103/PhysRevLett.63.1849
[2]	Matsukura F, Ohno H, Shen A, et al. (1998) Transport properties and origin of ferromagnetism in (Ga,Mn)As. Phys Rev B 57: R2037–R2040. doi: 10.1103/PhysRevB.57.R2037
[3]	Kudrnovsky J, Turek I, Drchal V, et al. (2004) Exchange interactions in III-V and group-IV diluted magnetic semiconductors. Phys Rev B 69: 115208. doi: 10.1103/PhysRevB.69.115208
[4]	Sato K, Schweika W, Dederichs PH, et al. (2010) First-principles theory of dilute magnetic semiconductors. Rev Mod Phys 82: 1633–1690. doi: 10.1103/RevModPhys.82.1633
[5]	Furdyna JK (1988) Diluted magnetic semiconductors. J Appl Phys 64: R29–R64. doi: 10.1063/1.341700
[6]	Dietl T, Ohno H, Matsukura F, et al. (2000) Zener model description of ferromagnetism in zinc-blende magnetic semiconductors. Science 287: 1019–1021. doi: 10.1126/science.287.5455.1019
[7]	Olejnik K, Owen MHS, Novak V, et al. (2008) Enhanced annealing, high Curie temperature, and low-voltage gating in (Ga,Mn)As: A surface oxide control study. Phys Rev B 78: 054403. doi: 10.1103/PhysRevB.78.054403
[8]	Satoa K, Dederichsa PH, Katayama-Yoshidab H, et al. (2003) Magnetic impurities and materials design for semiconductor spintronics. Physica B 340–342: 863–869.
[9]	Hilbert S, Nolting W (2005) Magnetism in (III, Mn)-V diluted magnetic semiconductors: Effective Heisenberg model. Phys Rev B 71: 113204. doi: 10.1103/PhysRevB.71.113204
[10]	Ohno H, Matsukura F (2001) A ferromagnetic III-V semiconductor: (Ga,Mn)As. Solid State Commun 117: 179–186. doi: 10.1016/S0038-1098(00)00436-1
[11]	Wang M, Campion RP, Rushforth AW, et al. (2008) Achieving High Curie Temperature in (Ga,Mn)As. Appl Phys Lett 93: 132103. doi: 10.1063/1.2992200
[12]	Dieti T, Ohno H, Matsukura F (2001) Hole-mediated ferromagnetism in tetrahedrally coordinated semiconductors. Phys Rev B 63: 195205. doi: 10.1103/PhysRevB.63.195205
[13]	Kojima N (2000) Elementary Excitations in Magnetically Ordered Materials, In: Sugano S, Kojima N, Magneto-Optics, Springer Series in Solid-State Sciences, Berlin, Heidelberg: Springer, 37–74.
[14]	Sell DD, Greene RL, White RM (1967) Optical Exciton-Magnon Absorption in MnF₂. Phys Rev 158: 489–510. doi: 10.1103/PhysRev.158.489
[15]	Zubarev DN (1960) Double-time Green functions in statistical physics. Sov Phys Usp 3: 320–345. doi: 10.1070/PU1960v003n03ABEH003275
[16]	Mahanty J (1974) The Green Function Method In Solid State Physics: An Introduction, New Delhi: East-West Press Pvt. Ltd.
[17]	Holistein T, Primakoff H (1940) Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet. Phys Rev 58: 1098–1113. doi: 10.1103/PhysRev.58.1098
[18]	Kittel C (1987) Quantum Theory of Solids, 2 Eds., Johin Wiley and Sons.
[19]	Richardson DD (1974) Phenomenological theory of magnon sideband shapes in a ferromagnet with impurities. Aust J Phys 27: 457–470. doi: 10.1071/PH740457
[20]	Bloch M (1962) Magnon renormalization in ferromagnets near the Curie point. Phys Rev Lett 9: 286–287. doi: 10.1103/PhysRevLett.9.286
[21]	Berciu M, Bhatt RN (2001) Effects of disorder on ferromagnetism in diluted magnetic semiconductors. Phys Rev Lett 87: 10720.
[22]	Kittel C (2005) Introduction to Solid State Physics, 8 Eds., New York: John Wiley and Sons.
[23]	Sato K, Schweika W, Dederichs PH, et al. (2004) Low-temperature ferromagnetism in (Ga,Mn)N: Ab initio calculations. Phys Rev B 70: 201202. doi: 10.1103/PhysRevB.70.201202
[24]	Koshihara S, Oiwa A, Hirasawa M, et al. (1997) Ferromagnetic order induced by photogenerated carriers in magnetic III-V semiconductor heterostructures of (In,Mn)As/GaSb. Phys Rev Lett 78: 4617–4620. doi: 10.1103/PhysRevLett.78.4617

Reader Comments

Your name:*

Email:*
© 2019 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)