| CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
Prev
Next
|
|
|
Current density in anomalous Hall effect regime under weak scattering |
| Ning Dai(戴凝)1,2,† and Bin Zhou(周斌)1,2 |
1 Department of Physics, Hubei University, Wuhan 430062, China;
2 Key Laboratory of Intelligent Sensing System and Security of Ministry of Education, Hubei University, Wuhan 430062, China |
|
|
|
|
Abstract A finite equilibrium current density arises in the anomalous Hall effect (AHE) as a result of time-reversal symmetry breaking, affecting both the differential current density and total current. In this paper, we illustrate the equilibrium current density in a ribbon-shaped system within the AHE regime, consisting of two sets of counterpropagating channels arranged in a zebra stripes pattern. While the middle channels are susceptible to scattering, the edge channels remain relatively robust. Despite this difference, all channels exhibit the same differential current density when subjected to a differential voltage across the two ends of the ribbon. When a differential voltage is applied to both sides of the ribbon, it results in a snaking pattern of differential current density forming across it. Furthermore, in a four-terminal device comprising the ribbon and two normal leads, it is found that Hall conductance is independent of ribbon width within certain scattering strengths due to the differences in robustness between middle and edge channels. These findings disclose the details of the AHE transport in a finite-sized system under weak scattering.
|
Received: 11 February 2025
Revised: 08 April 2025
Accepted manuscript online: 16 April 2025
|
|
PACS:
|
73.23.-b
|
(Electronic transport in mesoscopic systems)
|
| |
72.10.-d
|
(Theory of electronic transport; scattering mechanisms)
|
| |
73.43.-f
|
(Quantum Hall effects)
|
| |
73.23.Ad
|
(Ballistic transport)
|
|
| Fund: We thank H L Li for helpful discussion. N Dai was supported by the National Natural Science Foundation of China (Grant No. 12304062). B Zhou was supported by the National Natural Science Foundation of China (Grant No. 12074107), the Program of Outstanding Young and Middle-aged Scientific and Technological Innovation Teams of Colleges and Universities in Hubei Province (Grant No. T2020001), and the Innovation Group Project of the Natural Science Foundation of Hubei Province of China (Grant No. 2022CFA012). |
Corresponding Authors:
Ning Dai
E-mail: daining@hubu.edu.cn
|
Cite this article:
Ning Dai(戴凝) and Bin Zhou(周斌) Current density in anomalous Hall effect regime under weak scattering 2025 Chin. Phys. B 34 077301
|
[1] Nagaosa N, Sinova J, Onoda S, MacDonald A H and Ong N P 2010 Rev. Mod. Phys. 82 1539
[2] Chen H, Niu Q and MacDonald A H 2014 Phys. Rev. Lett. 112 017205
[3] Burkov A A 2014 Phys. Rev. Lett. 113 187202
[4] Smejkal L, MacDonald A H, Sinova J, Nakatsuji S and Jungwirth T 2022 Nat. Rev. Mater. 7 482
[5] Smit J 1958 Physica (Amsterdam) 24 39
[6] Berger L 1964 Physica 30 1141
[7] Sundaram G and Niu Q 1999 Phys. Rev. B 59 14915
[8] Xiao D, Shi J and Niu Q 2005 Phys. Rev. Lett. 95 137204
[9] Xiao D, Chang M C and Niu Q 2010 Rev. Mod. Phys. 82 1959
[10] Chang C Z, Zhang J, Feng X, Shen J, Zhang Z, Guo M, Li K, Ou Y, Wei P, Wang L L, et al. 2013 Science 340 167
[11] Deng Y, Yu Y, Shi M Z, Guo Z, Xu Z, Wang J, Chen X H and Zhang Y 2020 Science 367 895
[12] Serlin M, Tschirhart C, Polshyn H, Zhang Y, Zhu J, Watanabe K, Taniguchi T, Balents L and Young A 2020 Science 367 900
[13] Li T, Jiang S, Shen B, Zhang Y, Li L, Tao Z, Devakul T, Watanabe K, Taniguchi T, Fu L, et al. 2021 Nature 600 641
[14] Qiu G, Zhang P, Deng P, Chong S K, Tai L, Eckberg C and Wang K L 2022 Phys. Rev. Lett. 128 217704
[15] Chang C Z, Liu C X and MacDonald A H 2023 Rev. Mod. Phys. 95 011002
[16] Baum Y, Posske T, Fulga I C, Trauzettel B and Stern A 2015 Phys. Rev. Lett. 114 136801
[17] Hamad I J, Gazza C J and Riera J A 2016 Phys. Rev. B 93 205113
[18] Xu Y, Chu R L and Zhang C W 2014 Phys. Rev. Lett. 112 136402
[19] Colomes E and Franz M 2018 Phys. Rev. Lett. 120 086603
[20] Mandal S, Ge R and Liew T C H 2019 Phys. Rev. B 99 115423
[21] Bhowmick D and Sengupta P 2020 Phys. Rev. B 101 195133
[22] Cheng X, Chen J, Zhang L, Xiao L and Jia S 2021 Phys. Rev. B 104 L081401
[23] Wang Y, Liang B and Cheng J 2024 Phys. Rev. Appl. 22 044054
[24] Dai N and Sun Q F 2017 Phys. Rev. B 95 064205
[25] Li H, Liu H, Jiang H and Xie X C 2020 Phys. Rev. Lett. 125 036602
[26] Gong M, Lu M, Liu H, Jiang H, Sun Q F and Xie X C 2020 Phys. Rev. B 102 165425
[27] Mishchenko E G and Starykh O A 2014 Phys. Rev. B 90 035114
[28] Silvestrov P G and Recher P 2019 Phys. Rev. B 100 115404
[29] Lima L R F and Lewenkopf C 2022 Phys. Rev. B 105 085420
[30] Hasan M Z and Kane C L 2010 Rev. Mod. Phys. 82 3045
[31] Qi X L and Zhang S C 2011 Rev. Mod. Phys. 83 1057
[32] Dai N, Zhou Y F, Lv P and Sun Q F 2018 Phys. Rev. B 98 085422
[33] Cheng S G, Jiang H, Sun Q F and Xie X C 2020 Phys. Rev. B 102 075304
[34] Chen R, Sun H P, Zhou B and Xu D H 2023 Sci. China Phys. Mech. Astron. 66 287211
[35] Streda P and Jonckheere T 2010 Phys. Rev. B 82 113303
[36] Streda P and Výborný K 2023 Phys. Rev. B 107 014425
[37] Chen KW, Aryal N, Dai J, Graf D, Zhang S, Das S, Le Fèvre P, Bertran F, Yukawa R and Horiba K, Kumigashira H, Frantzeskakis E, Fortuna F, Balicas L, Santander-Syro A F, Manousakis E and Baumbach R E 2018 Phys. Rev. B 97 165112
[38] Ying X and Kamenev A 2018 Phys. Rev. Lett. 121 086810
[39] Ying X and Kamenev A 2019 Phys. Rev. B 99 245411
[40] Xie L C, Wu H C, Jin L and Song Z 2021 Phys. Rev. B 104 165422
[41] Büttiker M 1986 Phys. Rev. B 33 3020
[42] Li H L, Jiang H, Sun Q F and Xie X C 2024 Sci. Bull. 69 1221
[43] Liu P Y and Sun Q F 2024 Phys. Rev. B 110 085411
[44] Lv P, Dai N and Sun Q F 2018 Phys. Rev. B 97 235425 |
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
