Electrical control of magnetic quantum wells: Monte Carlo simulations

Physical Review B - Condensed Matter and Materials Physics

Volumn 84, Issue 8, 2011, Pages

  Dias Cabral, E ^a   Boselli, M A ^b   Oszwaldowski R ^c,d   Zutic I ^c   Da Cunha Lima, I C ^a  

^a STATE UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^b FEDERAL UNIVERSITY OF UBERLÂNDIA   (Brazil)

^c UNIVERSITY AT BUFFALO   (United States)

^d NICOLAUS COPERNICUS UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 80052485224     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.84.085315     Document Type: Article

References (76)

1. L. G. F. Filho, I. C. da Cunha Lima, and A. Troper, Semicond. Sci. Technol. SSTEET 0268-1242 10.1088/0268-1242/12/12/008 12, 1592 (1997).
2. H. Ohno, D. Chiba, F. Matsukura, T. Omiya, E. Abe, T. Dietl, Y. Ohno, and K. Ohtani, Nature (London) NATUAS 0028-0836 10.1038/35050040 408, 944 (2000). (Pubitemid 32101634)
3. I. Žutić, J. Fabian, and S. Das Sarma, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.76.323 76, 323 (2004). (Pubitemid 39063520)
4. S. Koshihara, A. Oiwa, M. Hirasawa, S. Katsumoto, Y. Iye, C. Urano, H. Takagi, and H. Munekata, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 78.4617 78, 4617 (1997).
5. A. G. Petukhov, I. Žutić, and S. C. Erwin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.257202 99, 257202 (2007).
6. M. J. Calderón and S. Das Sarma, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.75.235203 75, 235203 (2007).
7. V. Krivoruchko, V. Tarenkov, D. Varyukhin, A. D'yachenko, O. Pashkova, and V. Ivanov, J. Magn. Magn. Mater. JMMMDC 0304-8853 10.1016/j.jmmm.2009.11.024 322, 915 (2010).
8. C. H. Ahn, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.78.1185 78, 1185 (2006). (Pubitemid 44733939)
9. S. C. Erwin and A. G. Petukhov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.227201 89, 227201 (2002).
10. T. Jungwirth, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76.125206 76, 125206 (2007).
11. E. Dias Cabral, I. C. da Cunha Lima, M. A. Boselli, and A. T. da Cunha Lima, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.2981569 93, 112110 (2008).
12. B. L. Sheu, R. C. Myers, J. M. Tang, N. Samarth, D. D. Awschalom, P. Schiffer, and M. E. Flatté, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.227205 99, 227205 (2007); (Pubitemid 350191554)
13. K. S. Burch, D. B. Shrekenhamer, E. J. Singley, J. Stephens, B. L. Sheu, R. K. Kawakami, P. Schiffer, N. Samarth, D. D. Awschalom, and D. N. Basov, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.97.087208 97, 087208 (2006). (Pubitemid 44274299)
14. M. Sawicki, D. Chiba, A. Korbecka, Y. Nishitani, J. A. Majewski, F. Matsukura, T. Dietl, and H. Ohno, Nat. Phys. PRLTAO 1745-2473 10.1038/nphys1455 6, 22 (2010).
15. R. Kötz and M. Carlen, Electrochim. Acta ELCAAV 0013-4686 10.1016/S0013-4686(00)00354-6 45, 2483 (2000).
16. K. Ueno, S. Nakamura, H. Shimotani, A. Ohtomo, N. Kimura, T. Nojima, H. Aoki, Y. Iwasa, and M. Kawasaki, Nat. Mater. 1476-1122 10.1038/nmat2298 7, 855 (2008).
17. T. Jungwirth, J. Sinova, J. Mašek, J. Kučera, and A. H. MacDonald, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.78.809 78, 809 (2006). (Pubitemid 44223198)
18. 2, with recently reported room temperature control of ferromagnetism, Y. Yamada, K. Ueno, T. Fukumura, H. T. Yuan, H. Shimotani, Y. Iwasa, L. Gu, S. Tsukimoto, Y. Ikuhara, and M. Kawasaki, Science SCIEAS 0036-8075 10.1126/science.1202152 332, 1065 (2011);
19. I. Žutić and J. Cerne, Science SCIEAS 0036-8075 10.1126/science.1205775 332, 1040 (2011).
20. A. M. Nazmul, S. Kobayashi, S. Sugahara, and M. Tanaka, Jpn. J. Appl. Phys. JAPLD8 0021-4922 10.1143/JJAP.43.L233 43, L233 (2004).
21. Y. Nishitani, D. Chiba, M. Endo, M. Sawicki, F. Matsukura, T. Dietl, and H. Ohno, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.045208 81, 045208 (2010).
22. M. Endo, D. Chiba, H. Shimotani, F. Matsukura, Y. Iwasa, and H. Ohno, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.3277146 96, 022515 (2010).
23. D. Chiba, F. Matsukura, and H. Ohno, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.2362971 89, 162505 (2006). (Pubitemid 44601695)
24. M. H. S. Owen, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/11/2/ 023008 11, 023008 (2009).
25. C value to 2D islands of MnSb.
26. S. R. Dunsiger, Nat. Mater. 1476-1122 10.1038/nmat2715 9, 299 (2010).
27. A. M. Nazmul, T. Amemiya, Y. Shuto, S. Sugahara, and M. Tanaka, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.017201 95, 017201 (2005). (Pubitemid 41506392)
28. V. Novák, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 101.077201 101, 077201 (2008).
29. L. Chen, S. Yan, P. F. Xu, J. Lu, W. Z. Wang, J. J. Deng, X. Qian, Y. Ji, and J. H. Zhao, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.3259821 95, 182505 (2009).
30. N. Kim, S. J. Lee, T. Kang, and H. Kim, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.69.115308 69, 115308 (2004).
31. A mean-field analysis, which neglects the effect of exchange on the holes and uses only two d values, shows a similar effect in double QWs with additional built-in electric field, N. Kim, H. Kim, J. W. Kim, S. J. Lee, and T. W. Kang, Phys. Rev. B 1098-0121 10.1103/PhysRevB.73.033318 73, 033318 (2006). (Pubitemid 43270559)
32. B. Lv, J. Wang, J. Yu, H. Mao, Y. Shen, Z. Zhu, and H. Xing, Appl. Phys. Lett. 0003-6951 10.1063/1.2720352 90, 142513 (2007). (Pubitemid 46550117)
33. The displacement was also considered for a different structure and without external bias in Y. Shen, J. Wang, H. Xing, J. Yu, H. Mao, and B. Lv, J. Magn. Magn. Mater. 0304-8853 10.1016/j.jmmm.2006.11.209 313, 17 (2007). (Pubitemid 46498392)
34. C. Timm, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/15/ 50/R03 15, R1865 (2003).
35. J. Schliemann, J. König, H.-H. Lin, and A. H. MacDonald, Appl. Phys. Lett. 0003-6951 10.1063/1.1355300 78, 1550 (2001).
36. K. Sato, H. Katayama-Yoshida, and P. H. Dederichs, Jpn. J. Appl. Phys. JAPLD8 0021-4922 10.1143/JJAP.44.L948 44, L948 (2005). (Pubitemid 43065121)
37. R. Bouzerar, G. Bouzerar, and T. Ziman, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.73.024411 73, 024411 (2006). (Pubitemid 43276623)
38. G. Alvarez, M. Mayr, and E. Dagotto, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.277202 89, 277202 (2002).
39. J. Schliemann, J. König, and A. H. MacDonald, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.64.165201 64, 165201 (2001).
40. L. Brey and G. Gómez-Santos, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.68.115206 68, 115206 (2003).
41. M. P. Kennett, M. Berciu, and R. N. Bhatt, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.66.045207 66, 045207 (2002).
42. D. J. Priour, E. H. Hwang, and S. Das Sarma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.037201 95, 037201 (2005). (Pubitemid 41506296)
43. D. Kechrakos, N. Papanikolaou, K. N. Trohidou, and T. Dietl, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.127201 94, 127201 (2005). (Pubitemid 40620572)
44. A. Lipińska, C. Simserides, K. N. Trohidou, M. Goryca, P. Kossacki, A. Majhofer, and T. Dietl, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.79.235322 79, 235322 (2009).
45. M. A. Boselli, I. C. da Cunha Lima, J. R. Leite, A. Troper, and A. Ghazali, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1646759 84, 1138 (2004).
46. A. Nazmul, S. Sugahara, and M. Tanaka, Phys. Rev. B 1098-0121 10.1103/PhysRevB.67.241308 67, 241308 (2003).
47. Molecular beam epitaxy of atomic precision has allowed digital growth of (Cd,Mn)Te δ layers in QWs, see M. K. Kneip, Appl. Phys. Lett. 0003-6951 10.1063/1.2193349 88, 152105 (2006).
48. Moreover, placing individual Mn atoms can be done using a STM tip: D. Kitchen, Nature (London) 0028-0836 10.1038/nature04971 442, 436 (2006); (Pubitemid 44264790)
49. C. F. Hirjibehedin, Science SCIEAS 0036-8075 10.1126/science.1125398 312, 1021 (2006).
50. This technique can have significant implications for magnetic ordering in Mn-doped Quantum Dots, see for example R. Oszwałdowski, I. Žutić, and A. G. Petukhov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.177201 106, 177201 (2011).
51. z=0.37.
52. M. A. Boselli, I. C. da Cunha Lima, and A. Ghazali, Phys. Rev. B 1098-0121 10.1103/PhysRevB.68.085319 68, 085319 (2003).
53. B is the Bohr radius, cf. Eq. (2.74) in R. Enderlein and N. J. Horing Fundamentals of Semiconductor Physics and Devices (World Scientific, Singapore 1997).
54. A. A. Abrikosov, L. P. Gorkov, and I. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics (Dover, New York 1975).
55. D. P. Landau and K. Binder, A Guide to Monte Carlo Simulations in Statistical Physics (Cambridge Univeristy Press, 2009), p. 70.
56. E. J. R. de Oliveira, I. C. da Cunha Lima, E. Dias-Cabral, and M. A. Boselli, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.3537746 109, 023709 (2011).
57. C. Timm, in Handbook of Spin Transport and Magnetism, edited by, E. Y. Tsymbal, and, I. Žutić, (Taylor & Francis, London, 2011, in press), pp. 385-404.
58. A. Van Esch, L. Van Bockstal, J. De Boeck, G. Verbanck, A. S. van Steenbergen, P. J. Wellmann, B. Grietens, R. Bogaerts, F. Herlach, and G. Borghs, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.56.13103 56, 13103 (1997).
59. A. Gelfert and W. Nolting, Phys. Status Solidi B PSSBBD 0370-1972 10.1002/(SICI)1521-3951(200002)217:23.0.CO;2-P 217, 805 (2000).
60. J. Seufert, G. Bacher, M. Scheibner, A. Forchel, S. Lee, M. Dobrowolska, and J. K. Furdyna, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88. 027402 88, 027402 (2001).
61. L. Besombes, Y. Leger, L. Maingault, D. Ferrand, H. Mariette, and J. Cibert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.207403 93, 207403 (2004).
62. J. Fernández-Rossier and L. Brey, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.117201 93, 117201 (2004);
63. J. Fernández-Rossier, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.73.045301 73, 045301 (2006). (Pubitemid 43270666)
64. A. O. Govorov, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.72.075359 72, 075359 (2005). (Pubitemid 43406173)
65. N. T. T. Nguyen and F. M. Peeters, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.045321 78, 045321 (2008).
66. R. Beaulac, L. Schneider, P. I. Archer, G. Bacher, and D. R. Gamelin, Science SCIEAS 0036-8075 10.1126/science.1174419 325, 973 (2009).
67. S. T. Ochsenbein, Y. Feng, K. M. Whitaker, E. Badaeva, W. K. Liu, X. Li, and D. R. Gamelin, Nature Nanotech. SCIEAS 1748-3387 10.1038/nnano.2009.221 4, 681 (2009);
68. I. Žutić and A. G. Petukhov, Nature Nanotech. SCIEAS 1748-3387 10.1038/nnano.2009.286 4, 623 (2009).
69. M. V. Milovanović, E. Dobardžić, and Z. Radović, Phys. Rev. B 1098-0121 10.1103/PhysRevB.80.125305 80, 125305 (2009).
70. I. R Sellers, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.195320 82, 195320 (2010);
71. L. Kłopotowski, L. Cywiński, P. Wojnar, V. Voliotis, K. Fronc, T. Kazimierczuk, A. Golnik, M. Ravaro, R. Grousson, G. Karczewski, and T. Wojtowicz, Phys. Rev. B 1098-0121 10.1103/PhysRevB.82.195320 83, 081306 (2011).
72. R. M. Abolfath, P. Hawrylak, and I. Žutić, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.207203 98, 207203 (2007). (Pubitemid 47139569)
73. R. M Abolfath, A. G. Petukhov, and I. Žutić, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.207202 101, 207202 (2008).
74. J. Fabian, I. Žutić, and S. Das Sarma, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1637954 84, 85 (2004).
75. J. Fabian and I. Zutić, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.69.115314 69, 115314 (2004).
76. N. Rangaraju, J. A. Peters, and B. W. Wessels, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.117202 105, 117202 (2010).