-
In quantum transport, especially in spintronics, its central theme is to manipulate spin degrees of freedom in solid-state systems, to understand the interaction between the particle spin and its solid-state environments and to make useful devices. Recently, Majorana fermion has been introduced into quantum transport and received much attention. In this paper, we study a thermal-driven transport model which consists of a quantum dot coupled with two normal metal leads, a impurity spin (whose angular quantum number is more than or equal to one-half) and a Majorana fermion. We focus on the interplay between Majorana fermion and the impurity in this exactly solvable model. It is found that the system can generate thermal-induced spin current, and the currents are affected by Majorana fermion and impurity. With large temperature difference, the currents are sensitive to gate voltage, and the quantitative relation between spin-up current and gate voltage tends to be linear when the coupling between Majorana and quantum dot is strong, showing Majorana fermion's robustness. In addition, the spin current induced by Majorana fermion exhibits an oscillating antisymmetric structure around zero-bias point. This spin current’s zero point is related to the angular quantum number of impurity spin. These results are expected to be useful in thermal-electric conversion devices, and may be observed in future experiments.
-
Keywords:
- spintronics /
- thermal-induced spin current /
- Majorana fermion /
- impurity spin
[1] Majorana E 1937 Nuovo Cimento 14 171Google Scholar
[2] Nayak C, Simon S H, Stern A, Freedman M, Das Sarma S 2008 Rev. Mod. Phys. 80 1083Google Scholar
[3] Stern A 2010 Nature 464 187Google Scholar
[4] Chang C Z, Zhang J S, Feng X, et al. 2013 Science 340 167Google Scholar
[5] He K, Wang Y, Xue Q K 2014 Nat. Sci. Rev. 1 38Google Scholar
[6] 王力, 刘静思, 李吉, 周晓林, 陈向荣, 刘超飞, 刘伍明 2020 物理学报 69 010303Google Scholar
Wang L, Liu J S, Li J, Zhou X L, Chen X R, Liu C F, Liu W M 2020 Acta Phys. Sin. 69 010303Google Scholar
[7] 李吉, 刘伍明 2018 物理学报 67 110302Google Scholar
Li J, Liu W M 2018 Acta Phys. Sin. 67 110302Google Scholar
[8] 刘静思, 李吉, 刘伍明 2017 物理学报 66 130305Google Scholar
Liu J S, Li J, Liu W M 2017 Acta Phys. Sin. 66 130305Google Scholar
[9] Chen Y H, Tao H S, Yao D X, Liu W M 2012 Phys. Rev. Lett. 108 246402Google Scholar
[10] Jiang Z F, Li R D, Zhang S C, Liu W M 2005 Phys. Rev. B 72 045201
[11] Zhang X L, Liu L F, Liu W M 2005 Sci. Rep. 3 2908
[12] Reich E S 2012 Nature 483 132Google Scholar
[13] Brouwer P W 2012 Science 336 989Google Scholar
[14] Wilczek F 2012 Nature 486 195Google Scholar
[15] Read N, Green D 2000 Phys. Rev. B 61 10267Google Scholar
[16] Ivanov D A 2001 Phys. Rev. Lett. 86 268Google Scholar
[17] Lutchyn R M, Sau J D, Das Sarma S 2010 Phys. Rev. Lett. 105 077001Google Scholar
[18] Oreg Y, Refael G, von Oppen F 2010 Phys. Rev. Lett. 105 177002Google Scholar
[19] Liu D E, Baranger H U 2011 Phys. Rev. B 84 201308(RGoogle Scholar
[20] Napitu B D 2015 Eur. Phys. J. B 88 290Google Scholar
[21] Lü H F, Lu H Z, Shen S Q 2014 Phys. Rev. B 90 195404Google Scholar
[22] Liu D E, Cheng M, Lutchyn R M 2015 Phys. Rev. B 91 081405(RGoogle Scholar
[23] Huo D M 2016 Eur. Phys. J. B 89 174Google Scholar
[24] Niu P B, Liu L X, Su X Q, Dong L J, Shi Y L, Luo H G 2020 J. Magn. Magn. Mater. 506 166795Google Scholar
[25] Bauer G E, MacDonald A H, Maekawa S 2010 Solid State Commun. 150 459Google Scholar
[26] Bauer G E, Saitoh E, van Wees B J 2012 Nat. Mater. 11 391Google Scholar
[27] Staring A A M, Molenkamp L W, Alphenaar B W, et al. 1993 Europhys. Lett. 22 57Google Scholar
[28] Svensson S F, Hoffmann E A, Nakpathomkun N, et al. 2013 New J. Phys. 15 105011Google Scholar
[29] Sanchez D, Lopez R 2013 Phys. Rev. Lett. 110 026804Google Scholar
[30] Alidoust M, Halterman K, Valls O T 2015 Phys. Rev. B 92 014508Google Scholar
[31] Niu P B, Liu L X, Su X Q, Dong L J, Shi Y L, Luo H G 2020 Physica E 124 114313Google Scholar
[32] Niu P B, Wang Q, Nie Y H 2013 Chin. Phys. B 22 027307Google Scholar
[33] Flensberg K 2010 Phys. Rev. B 82 180516(RGoogle Scholar
[34] Kostyrko T, Bulka B R 2005 Phys. Rev. B 71 235306Google Scholar
[35] Niu P B, Zhang Y Y, Wang Q, et al. 2012 Phys. Lett. A 376 1481Google Scholar
[36] Meir Y, Wingreen N S 1992 Phys. Rev. Lett. 68 2512Google Scholar
[37] Wang R Q, Sheng L, Shen R, Wang B, Xing D Y 2010 Phys. Rev. Lett. 105 057202Google Scholar
[38] Luo H G, Ying Z J, Wang S J 1999 Phys. Rev. B 59 9710Google Scholar
[39] Sun Q F, Guo H 2002 Phys. Rev. B 66 155308Google Scholar
-
-
[1] Majorana E 1937 Nuovo Cimento 14 171Google Scholar
[2] Nayak C, Simon S H, Stern A, Freedman M, Das Sarma S 2008 Rev. Mod. Phys. 80 1083Google Scholar
[3] Stern A 2010 Nature 464 187Google Scholar
[4] Chang C Z, Zhang J S, Feng X, et al. 2013 Science 340 167Google Scholar
[5] He K, Wang Y, Xue Q K 2014 Nat. Sci. Rev. 1 38Google Scholar
[6] 王力, 刘静思, 李吉, 周晓林, 陈向荣, 刘超飞, 刘伍明 2020 物理学报 69 010303Google Scholar
Wang L, Liu J S, Li J, Zhou X L, Chen X R, Liu C F, Liu W M 2020 Acta Phys. Sin. 69 010303Google Scholar
[7] 李吉, 刘伍明 2018 物理学报 67 110302Google Scholar
Li J, Liu W M 2018 Acta Phys. Sin. 67 110302Google Scholar
[8] 刘静思, 李吉, 刘伍明 2017 物理学报 66 130305Google Scholar
Liu J S, Li J, Liu W M 2017 Acta Phys. Sin. 66 130305Google Scholar
[9] Chen Y H, Tao H S, Yao D X, Liu W M 2012 Phys. Rev. Lett. 108 246402Google Scholar
[10] Jiang Z F, Li R D, Zhang S C, Liu W M 2005 Phys. Rev. B 72 045201
[11] Zhang X L, Liu L F, Liu W M 2005 Sci. Rep. 3 2908
[12] Reich E S 2012 Nature 483 132Google Scholar
[13] Brouwer P W 2012 Science 336 989Google Scholar
[14] Wilczek F 2012 Nature 486 195Google Scholar
[15] Read N, Green D 2000 Phys. Rev. B 61 10267Google Scholar
[16] Ivanov D A 2001 Phys. Rev. Lett. 86 268Google Scholar
[17] Lutchyn R M, Sau J D, Das Sarma S 2010 Phys. Rev. Lett. 105 077001Google Scholar
[18] Oreg Y, Refael G, von Oppen F 2010 Phys. Rev. Lett. 105 177002Google Scholar
[19] Liu D E, Baranger H U 2011 Phys. Rev. B 84 201308(RGoogle Scholar
[20] Napitu B D 2015 Eur. Phys. J. B 88 290Google Scholar
[21] Lü H F, Lu H Z, Shen S Q 2014 Phys. Rev. B 90 195404Google Scholar
[22] Liu D E, Cheng M, Lutchyn R M 2015 Phys. Rev. B 91 081405(RGoogle Scholar
[23] Huo D M 2016 Eur. Phys. J. B 89 174Google Scholar
[24] Niu P B, Liu L X, Su X Q, Dong L J, Shi Y L, Luo H G 2020 J. Magn. Magn. Mater. 506 166795Google Scholar
[25] Bauer G E, MacDonald A H, Maekawa S 2010 Solid State Commun. 150 459Google Scholar
[26] Bauer G E, Saitoh E, van Wees B J 2012 Nat. Mater. 11 391Google Scholar
[27] Staring A A M, Molenkamp L W, Alphenaar B W, et al. 1993 Europhys. Lett. 22 57Google Scholar
[28] Svensson S F, Hoffmann E A, Nakpathomkun N, et al. 2013 New J. Phys. 15 105011Google Scholar
[29] Sanchez D, Lopez R 2013 Phys. Rev. Lett. 110 026804Google Scholar
[30] Alidoust M, Halterman K, Valls O T 2015 Phys. Rev. B 92 014508Google Scholar
[31] Niu P B, Liu L X, Su X Q, Dong L J, Shi Y L, Luo H G 2020 Physica E 124 114313Google Scholar
[32] Niu P B, Wang Q, Nie Y H 2013 Chin. Phys. B 22 027307Google Scholar
[33] Flensberg K 2010 Phys. Rev. B 82 180516(RGoogle Scholar
[34] Kostyrko T, Bulka B R 2005 Phys. Rev. B 71 235306Google Scholar
[35] Niu P B, Zhang Y Y, Wang Q, et al. 2012 Phys. Lett. A 376 1481Google Scholar
[36] Meir Y, Wingreen N S 1992 Phys. Rev. Lett. 68 2512Google Scholar
[37] Wang R Q, Sheng L, Shen R, Wang B, Xing D Y 2010 Phys. Rev. Lett. 105 057202Google Scholar
[38] Luo H G, Ying Z J, Wang S J 1999 Phys. Rev. B 59 9710Google Scholar
[39] Sun Q F, Guo H 2002 Phys. Rev. B 66 155308Google Scholar
计量
- 文章访问数: 4649
- PDF下载量: 123
- 被引次数: 0