Spin Filter Based on an Aharonov--Bohm Interferometer with Rashba Spin--Orbit Effect
FANG Ming1, SUN Lian-Liang2
1Department of Physics and Institute of Graduate Students, Bohai University, Jinzhou 1210002College of Science, North China University of Technology, Beijing 100041
Spin Filter Based on an Aharonov--Bohm Interferometer with Rashba Spin--Orbit Effect
FANG Ming1, SUN Lian-Liang2
1Department of Physics and Institute of Graduate Students, Bohai University, Jinzhou 1210002College of Science, North China University of Technology, Beijing 100041
摘要We propose a spin filter based on both the quantum interference and the Rashba spin--orbit (RSO) effects. This spin filter consists of a Aharonov--Bohm (AB) interferometer with two quantum dots (QDs) inserted in its arms. The influences of a magnetic flux φ threading through the AB ring and the RSO interaction inside the two QDs are taken into account by using the nonequilibrium Green's function technique. Due to the existence of the RSO interaction, the electrons flowing through different arms of the ring will acquire a spin-dependent phase factor in the linewidth matrix elements. This phase factor, combined with the influence of the magnetic flux, will induce a spin-dependent electron transport through the device. Moreover, we show that by tuning the magnetic flux, the RSO strength and the inter-dot tunnelling coupling strength, a pure spin-up or spin-down conductance can be obtained when a spin-unpolarized current is injected from the external leads, which can be used to filter the electron spin.
Abstract:We propose a spin filter based on both the quantum interference and the Rashba spin--orbit (RSO) effects. This spin filter consists of a Aharonov--Bohm (AB) interferometer with two quantum dots (QDs) inserted in its arms. The influences of a magnetic flux φ threading through the AB ring and the RSO interaction inside the two QDs are taken into account by using the nonequilibrium Green's function technique. Due to the existence of the RSO interaction, the electrons flowing through different arms of the ring will acquire a spin-dependent phase factor in the linewidth matrix elements. This phase factor, combined with the influence of the magnetic flux, will induce a spin-dependent electron transport through the device. Moreover, we show that by tuning the magnetic flux, the RSO strength and the inter-dot tunnelling coupling strength, a pure spin-up or spin-down conductance can be obtained when a spin-unpolarized current is injected from the external leads, which can be used to filter the electron spin.
FANG Ming; SUN Lian-Liang. Spin Filter Based on an Aharonov--Bohm Interferometer with Rashba Spin--Orbit Effect[J]. 中国物理快报, 2008, 25(9): 3389-3392.
FANG Ming, SUN Lian-Liang. Spin Filter Based on an Aharonov--Bohm Interferometer with Rashba Spin--Orbit Effect. Chin. Phys. Lett., 2008, 25(9): 3389-3392.
[1]Tsymbal E Y, Mryasov O and LeClair P R 2003 J. Phys.:Condens. Matter 15 R109 [2] \u{Zuti\'{c I, Fabian J and Sarma S D 2004 Rev.Mod. Phys. 76 323 [3]GUO Y, QIN J G, CHEN X Y and GU B L 2003 Chin. Phys.Lett. 20 1124 [4]LU M W, ZHANG L D and YAN X H 2003 Chin. Phys. Lett. 20 124 [5] Schmidt G, Ferrand D, Molenkamp L W, Filip A T and Wees BJ V 2000 Phys. Rev. B 62 4790 [6] Murayama A, Asahina T, Nishibayashi K, Souma I and Oka Y2006 Appl. Phys. Lett. 88 23114 [7] Datta S and Das B 1990 Appl. Phys. Lett. 56665 [8] Li S S and Xia J B 2008 Appl. Phys. Lett. 92022102 [9] Murakami S, Nagaosa N and Zhang S C 2003 Science 301 1348 [10] Chi F and Li S S 2006 J. Appl. Phys. 100113703 [11]Chi F and Zheng J 2008 Appl. Phys. Lett. 92062106 [12] Chi F, Zheng J and Sun L L 2008 Appl. Phys. Lett. 92 172104 [13] Sun Q F, Wang J and Guo H 2005 Phys. Rev. B 71 165310 [14] Sun Q F and Xie X C 2006 Phys. Rev. B 73235301 [15] L\"{u H F and Guo Y 2007 Phys. Rev. B 76045120 [16] L\"{u H F and Guo Y 2008 Appl. Phys. Lett. 92 062109 [17] Holleitner A W, Decker C R, Qin H, Eberl K and Blick R H2001 Phys. Rev. Lett. 87 256802 [18]Huang L, You J Q, Yan X H and Wei S H 2002 Chin.Phys. Lett. 19 1505 [19] Zhang Y M and Xiong S J 2003 Chin. Phys. Lett. 20 2023 [20] Li S S, Chang K and Xia J B 2003 Phys. Rev. B 68 245306 [21] Li S S, Abliz A, Yang F H, Niu Z C, Feng S L and Xia J B2002 J. Appl. Phys. 92 6662 [22] Li S S, Abliz A, Yang F H, Niu Z C, Feng S L and Xia J B2002 J. Appl. Phys. 94 5402 [23] Li S S and Xia J B 2007 Appl. Phys. Lett. 91092119 [24]Sergueev N, Sun Q F, Guo H, Wang B G and Wang J 2002 Phys. Rev. B 65 165303 [25] Zhang P, Xue Q K, Wang Y P and Xie X C 2002 Phys.Rev. Lett. 89 286803 [26]Jauho A P, Wingreen N S and Meir Y 1994 Phys. Rev. B 50 5528 [27]Pals P and MacKinnon A 1996 J. Phys.: Condens.Matter 8 5401 [28] Lu H Z, L\"{u R and Zhu B F 2006 J. Phys.: Condens.Matter 18 8961 [29] Ladr\'{on de Guevara M L, Claro F and Orellana P A 2003 Phys. Rev. B 67 195335 [30] Kang K and Cho S Y 2004 J. Phys.: Condens. Matter 16 117 [31] Lu H Z, L\"{u R and Zhu B F 2005 Phys. Rev. B 71 235320 [32]Wang L M, Luo Y and Ma B K 2001 Acta Phys. Sin. 50 278 (in Chinese) [33]Wang L M, Luo Y and Ma B K 2002 Chin. Phys. 11150 [34] Wang L M, Luo Y and Ma B K 2002 Chin. Phys. Lett. 19 546 [35] Zhai F and Xu H Q 2005 Phys. Rev. Lett. 94246601 [36]Sun Q F and Xie X C 2005 Phys. Rev. B 71155321 [37] Nitta J, Akazaki T, Takayanagi H and Enoki T 1997 Phys. Rev. Lett. 78 1335