Abstract
The strain effect on the spin relaxation rate of a two-dimensional GaAs quantum dot has been investigated within the effective mass approximation. For this purpose, first we have calculated the energy levels and wave functions of the system in the presence of Bychkov–Rashba and Dresselhaus terms and strain-dependent term by using the diagonalization method. Then, we have computed the spin relaxation rate by Fermi’s Golden rule. The results show that: (i) there is a maximum in spin relaxation rate for a special magnetic field, that is corresponding to the anti-crossing magnetic field (Bac). (ii) The Bac does not depend on the strain. (iii) There is a minimum in spin relaxation rate at the special strain.
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I Zutic, J Fabian and S Das Sarma Rev. Mod. Phys. 76 323 (2004)
S A Wolf et al Science 294 1488 (2001)
S Datta and B Das Appl. Phys. Lett. 56 665 (1990)
J Schliemann, J C Egues and D Loss Phys. Rev. Lett. 90 146801 (2003)
E I Rashba and A L Efros Phys. Rev. Lett. 91 126405 (2003)
L S Levitov and E I Rashba Phys. Rev. B 67 115324 (2003)
M I Dyakonov and V Y Kachorovskii Sov. Phys. Solid State 13 3023 (1971)
M I Dyakonov and V Y Kachorovskii Phys. Semicond. 20 110 (1986)
A V Khaetskii and Y V Nazarov Phys. Rev. B 64 125316 (2001)
A V Khaetskii and Y V Nazarov Phys. Rev. B 61 12639 (2000)
S I Erlingsson and Y V Nazarov Phys. Rev. B 66 155327 (2002)
G Burkard, D Loss and D P Di Vincenzo Phys. Rev. B 59 2070 (1999)
A V Khaetskii, D Loss and L Glazman Phys. Rev. Lett. 88 186802 (2002)
I A Merkulov, A L Efros and M Rosen Phys. Rev. B 65 205309 (2002)
B I Halperin et al Phys. Rev. Lett. 86 2106 (2001)
I L Aleiner and V I Falko Phys. Rev. Lett. 87 256801 (2001)
D Loss and D P Di Vincenzo Phys. Rev. A 57 120 (1998)
J Weis, R J Haug, K V Klitzing and K Ploog Phys. Rev. Lett. 71 4019 (1993)
V Fock Z. Phys. 47 446 (1928)
C G Darwin Proc. Camb. Philos. Soc. 27 86 (1931)
R D Sousa and S Das Sarma Phys. Rev. B 68 155330 (2003)
M V Rodriguez, A Puente and L Serra Phys. Rev. B 69 85306 (2004)
C F Destefani, S E Ulloa and G E Marques Phys. Rev. B 69 125302 (2004)
C F Destefani, S E Ulloa and G E Marques Phys. Rev. B 70 205315 (2004)
M V Rodriguez, A Puente, L Serra and E Lipparini Phys. Rev. B 66 235322 (2002)
C F Destefani and S E Ulloa Phys. Rev. B 71 161303(R) (2005)
O Voskoboynikov, C P Lee and O Tretyak Phys. Rev. B 63 165306 (2001)
W H Kuan, C S Tang and W Xu J. Appl. Phys. 95 6368 (2004)
M V Rodrıguez, A Puente and L Serra Phys. Rev. B 69 153308 (2004)
A V Chaplik and L I Magarill Phys. Rev. Lett. 94 126402 (2006)
O Voskoboynikov, O Bauga, C P Lee and O Tretyak J. Appl. Phys. 94 5891 (2003)
J H Van Vleck Phys. Rev. 57 426 (1940)
M V Rodrıguez Phys. Rev. B 70 033306 (2004)
E N Bulgakov and A F Sadreev JETP Lett. 73 505 (2001)
E Tsitsishvili, G S Lozano and A O Gogolin Phys. Rev. B 70 115316 (2004)
S Debald and C Emary Phys. Rev. Lett. 94 226803 (2005)
S Tarucha, D G Austing, T Honda, R J Van der Haged and L P Kouwenhoven Phys. Rev. Lett. 77 3613 (1996)
R Khordad J. Magn. Magn. Mater. 449 510 (2018)
E Dehghan, D Sanavi Khoshnoud and A S Naeimi Physica E 100 7 (2018)
R Khordad Superlattice Microstruct. 110 146 (2017)
R Khordad and H R Rastegar Sedehi Solid State Commun. 269 118 (2018)
P Kumar and P Chand J. Alloys Compd. 748 504 (2018)
C Li et al Physica E 97 392 (2018).
X Yang, S Wu, J Xu, B Cao and A C To Physica E 96 46 (2018)
X Liu et al Physica E 87 6 (2017)
R Khordad and H Bahramiyan Commun. Theor. Phys. 65 87 (2016)
E I Rashba Fiz. Tverd. Tela (Leningrad) 2 1224 (1960)
Y A Bychkov and E I Rashba J. Phys. C 17 6039 (1984)
G Dresselhaus Phys. Rev. 100 580 (1955)
M I Dyakonov and V.Y. Kachorovskii, Fiz. Tekh. Poluprovodn. (S-Peterburg) 20 178 (1986)
G I Bir and G E Pikus Fiz. Tverd. Tela (Leningrad) 3 3050 (1961)
J B Miller et al Phys. Rev. Lett. 90 76807 (2003)
W Knap et al Phys. Rev. B 53 3912 (1996)
G D Mahan Many-Particle Physics (New York: Kluwer) (2000)
S W Chang and S L Chuang Phys. Rev. B 72 115429 (2005)
J Ghosh, D Osintsev, V Sverdlov and S Selberherr Microelectron. Eng. 147 89 (2015)
D Osintsev, Z Stanojevic, O Baumgartner, V Sverdlov and S Selberherr AIP Conference Proceedings 1566 p 317 (2013)
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Bahramiyan, H. Strain effect on the spin relaxation rate of a two-dimensional GaAs quantum dot. Indian J Phys 93, 361–366 (2019). https://doi.org/10.1007/s12648-018-1302-5
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DOI: https://doi.org/10.1007/s12648-018-1302-5