Ultrasonic exploration of vacancy centres with the Jahn-Teller effect. Application to the ZnSe crystal
We show that the structure, properties, and concentration of vacancies in crystals can be studied by ultrasonic experiments previously employed for impurity centres only. Measurements of the temperature dependence of attenuation and phase velocities of ultrasonic shear waves of 52 MHz propagating al...
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| Published in | Physica Status Solidi. B: Basic Solid State Physics Vol. 251; no. 8; pp. 1590 - 1595 |
|---|---|
| Main Authors | , , , , , , , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Blackwell Publishing Ltd
01.08.2014
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0370-1972 1521-3951 |
| DOI | 10.1002/pssb.201451092 |
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| Abstract | We show that the structure, properties, and concentration of vacancies in crystals can be studied by ultrasonic experiments previously employed for impurity centres only. Measurements of the temperature dependence of attenuation and phase velocities of ultrasonic shear waves of 52 MHz propagating along the crystallographic axis [110] of nominally pure ZnSe single crystals (grown by the seeded physical vapour transport method) show strong anomalies which are typical for relaxation processes in system with isolated Jahn–Teller (JT) centres. The observed JT distortion mode is trigonal, subject to a threefold orbitally degenerate T‐term interaction with trigonal and tetragonal nuclear displacements. In the absence of sufficiently high concentrations of impurity atoms with such properties we attributed the observed JT centres to zinc vacancies. The temperature dependence of the isothermal and adiabatic forms of the appropriate elastic modulus and the relaxation time show that the relaxation mechanism changes from thermal activation at higher temperatures to tunnelling through a potential energy barrier below 18 K. We provide an estimate of the magnitude of the potential barrier, as well as the pseudorotation frequency and concentration of vacancies. Also we determine the extremum points of the adiabatic potential energy surface of the vacancy centre. |
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| AbstractList | We show that the structure, properties, and concentration of vacancies in crystals can be studied by ultrasonic experiments previously employed for impurity centres only. Measurements of the temperature dependence of attenuation and phase velocities of ultrasonic shear waves of 52MHz propagating along the crystallographic axis [110] of nominally pure ZnSe single crystals (grown by the seeded physical vapour transport method) show strong anomalies which are typical for relaxation processes in system with isolated Jahn-Teller (JT) centres. The observed JT distortion mode is trigonal, subject to a threefold orbitally degenerate T-term interaction with trigonal and tetragonal nuclear displacements. In the absence of sufficiently high concentrations of impurity atoms with such properties we attributed the observed JT centres to zinc vacancies. The temperature dependence of the isothermal and adiabatic forms of the appropriate elastic modulus and the relaxation time show that the relaxation mechanism changes from thermal activation at higher temperatures to tunnelling through a potential energy barrier below 18K. We provide an estimate of the magnitude of the potential barrier, as well as the pseudorotation frequency and concentration of vacancies. Also we determine the extremum points of the adiabatic potential energy surface of the vacancy centre. We show that the structure, properties, and concentration of vacancies in crystals can be studied by ultrasonic experiments previously employed for impurity centres only. Measurements of the temperature dependence of attenuation and phase velocities of ultrasonic shear waves of 52 MHz propagating along the crystallographic axis [110] of nominally pure ZnSe single crystals (grown by the seeded physical vapour transport method) show strong anomalies which are typical for relaxation processes in system with isolated Jahn–Teller (JT) centres. The observed JT distortion mode is trigonal, subject to a threefold orbitally degenerate T‐term interaction with trigonal and tetragonal nuclear displacements. In the absence of sufficiently high concentrations of impurity atoms with such properties we attributed the observed JT centres to zinc vacancies. The temperature dependence of the isothermal and adiabatic forms of the appropriate elastic modulus and the relaxation time show that the relaxation mechanism changes from thermal activation at higher temperatures to tunnelling through a potential energy barrier below 18 K. We provide an estimate of the magnitude of the potential barrier, as well as the pseudorotation frequency and concentration of vacancies. Also we determine the extremum points of the adiabatic potential energy surface of the vacancy centre. |
| Author | Bersuker, I. B. Zhevstovskikh, I. V. Mayakin, V. Yu Gudkov, V. V. Baryshnikov, K. A. Monakhov, A. M. Averkiev, N. S. Colibaba, G. V. Nedeoglo, D. D. Sarychev, M. N. Surikov, V. T. |
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| References_xml | – reference: G. D. Watkins and J. R. Troxell, Phys. Rev. Lett. 44, 593 (1980). – reference: T. Goto, H. Yamada-Kaneta, Ya. Saito, Yu. Nemoto, K. Sato, K. Kakimoto, and Sh. Nakamura, J. Phys. Soc. Jpn. 75, 044602 (2006). – reference: Y. Q. Jui, N. J. Bardeleben, D. Stievenard, and C. Delerue, Phys. Rev. B 45, 1645 (1992). – reference: D. Y. Jeon, H. P. Gislason, and G. D. Watkins, Phys. Rev. B 48, 7872 (1993). – reference: V. V. Gudkov, A. T. Lonchakov, V. I. Sokolov, I. V. Zhevstovskikh, and V. T. Surikov, Phys. Rev. B 77, 155210 (2008). – reference: K. Mitsumoto, M. Akatsu, Sh. Baba, R. Takasu, Yu. Nemoto, T. Goto, H. Yamada-Kaneta, Yu. Furumura, H. Saito, K. Kashima, and Yo. Saito, J. Phys. Soc. Jpn. 83, 034702 (2014). – reference: M. Ishikawa and T. Nakayama, Phys. Status Solidi C 10, 1385 (2013). – reference: K. Okabe, M. Akatsu, Sh. Baba, K. Mitsumoto, Yu. Nemoto, H. Yamada-Kaneta, T. Goto, H. Saito, K. Kashima, and Yo. Saito, J. Phys. Soc. Jpn. 82, 124604 (2013). – reference: E. M. Georgy, M. D. Sturge, D. B. Fraser, and R. C. LeCraw, Phys. Rev. Lett. 15, 19 (1965). – reference: N. S. Averkiev, A. A. Gutkin, and S. Yu Il'inskiy, Phys. Solid State 42, 1231 (2000). – reference: N. K. Morosova, I. A. Karetnikov, V. V. Blinov, and E. M. Gavrischuk, Semiconductors 35, 24 (2001). – reference: V. V. Gudkov, A. T. Lonchakov, V. I. Sokolov, I. V. Zhevstovskikh, and V. T. Surikov, Low Temp. Phys. 35, 76 (2009). – reference: V. V. Gudkov and J. D. Gavenda, Magnetoacoustic Polarization Phenomena in Solids(Springer-Verlag, New York, Berlin, Heidelberg, 2000), pp. 27-31. – reference: F. C. Rong, W. A. Barry, J. F. Donegan, and G. D. Watkins, Phys. Rev. B 54, 7779 (1996). – reference: V. Gudkov, A. Lonchakov, V. Sokolov, I. Zhevstovskikh, and N. Gruzdev, Phys. Status Solidi B 242, R30 (2005). – reference: G. D. Watkins and J. W. Corbett, Phys. Rev.134, A1359 (1964). – reference: V. Iota and B. A. Weinstein, Phys. Status Solidi B 211, 91 (1999). – reference: G. V. Colibaba and D. D. Nedeoglo, Moldavian J. Phys. Sci. 7, 26 (2008). – reference: V. V. Gudkov, I. B. Bersuker, I. V. Zhevstovskikh, Yu. V. Korostelin, and A. I. Landman, J. Phys.: Condens. Matter 23, 115401 (2011). – volume: 23 start-page: 115401 year: 2011 publication-title: J. Phys.: Condens. Matter – volume: 48 start-page: 7872 year: 1993 publication-title: Phys. Rev. B – start-page: 27 end-page: 31 publication-title: Magnetoacoustic Polarization Phenomena in Solids – volume: 77 start-page: 155210 year: 2008 publication-title: Phys. Rev. B – volume: 54 start-page: 7779 year: 1996 publication-title: Phys. Rev. B – volume: 82 start-page: 124604 year: 2013 publication-title: J. Phys. Soc. Jpn. – volume: 44 start-page: 593 year: 1980 publication-title: Phys. Rev. Lett. – volume: 242 start-page: R30 year: 2005 publication-title: Phys. Status Solidi B – volume: 35 start-page: 76 year: 2009 publication-title: Low Temp. Phys. – year: 1964 publication-title: Phys. Rev. – volume: 83 start-page: 034702 year: 2014 publication-title: J. Phys. Soc. Jpn. – volume: 211 start-page: 91 year: 1999 publication-title: Phys. Status Solidi B – volume: 45 start-page: 1645 year: 1992 publication-title: Phys. Rev. B – volume: 15 start-page: 19 year: 1965 publication-title: Phys. Rev. Lett. – volume: 10 start-page: 1385 year: 2013 publication-title: Phys. Status Solidi C – volume: 42 start-page: 1231 year: 2000 publication-title: Phys. Solid State – volume: 35 start-page: 24 year: 2001 publication-title: Semiconductors – article-title: The Jahn–Teller Effect – volume: 75 start-page: 044602 year: 2006 publication-title: J. Phys. Soc. Jpn. – start-page: 143 end-page: 161 – volume: 7 start-page: 26 year: 2008 publication-title: Moldavian J. Phys. Sci. |
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| SubjectTerms | Adiabatic flow elastic moduli Impurities Jahn-Teller effect Potential energy Relaxation Relaxation time Temperature dependence ultrasound Vacancies Zinc Zinc selenides ZnSe |
| Title | Ultrasonic exploration of vacancy centres with the Jahn-Teller effect. Application to the ZnSe crystal |
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