journal article·2022-03-17Open access

Robust all-electrical topological valley filtering using monolayer 2D-Xenes

Koustav Jana, Bhaskaran Muralidharan

Abstract

Abstract We propose a realizable device design for an all-electrical robust valley filter that utilizes spin protected topological interface states hosted on monolayer 2D-Xene materials with large intrinsic spin–orbit coupling. In contrast with conventional quantum spin-Hall edge states localized around the X-points, the interface states appearing at the domain wall between topologically distinct phases are either from the K or $$K\prime$$ points, making them suitable prospects for serving as valley-polarized channels. We show that the presence of a large band-gap quantum spin-Hall effect enables the spatial separation of the spin–valley locked helical interface states with the valley states being protected by spin conservation, leading to robustness against short-range nonmagnetic disorder. By adopting the scattering matrix formalism on a suitably designed device structure, valley-resolved transport in the presence of nonmagnetic short-range disorder for different 2D-Xene materials is also analyzed in detail. Our numerical simulations confirm the role of spin–orbit coupling in achieving an improved valley filter performance with a perfect quantum of conductance attributed to the topologically protected interface states. Our analysis further elaborates clearly the right choice of material, device geometry and other factors that need to be considered while designing an optimized valleytronic filter device.
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Research context

OpenAlex topics: Topological Materials and Phenomena · Graphene research and applications · 2D Materials and Applications

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References (78)

Show source-provided references
1. Novoselov, K. S. et al. Electric field effect in atomically thin carbon films. Science 306, 666–669 (2004).10.1126/science.1102896 ↗
2. Qian, X., Liu, J., Fu, L. & Li, J. Quantum spin hall effect in two-dimensional transition metal dichalcogenides. Science 346, 1344–1347 (2014).10.1126/science.1256815 ↗
3. Mak, K. F., Lee, C., Hone, J., Shan, J. & Heinz, T. F. Atomically thin mos2: a new direct-gap semiconductor. Phys. Rev. Lett. 105, 136805 (2010).10.1103/PhysRevLett.105.136805 ↗
4. Lalmi, B. et al. Epitaxial growth of a silicene sheet. Appl. Phys. Lett. 97, 223109 (2010).10.1063/1.3524215 ↗
5. Liu, C.-C., Jiang, H. & Yao, Y. Low-energy effective hamiltonian involving spin-orbit coupling in silicene and two-dimensional germanium and tin. Phys. Rev. B 84, 195430 (2011).10.1103/PhysRevB.84.195430 ↗
6. Liu, C.-C., Feng, W. & Yao, Y. Quantum spin hall effect in silicene and two-dimensional germanium. Phys. Rev. Lett. 107, 076802 (2011).10.1103/PhysRevLett.107.076802 ↗
7. Si, C. et al. Functionalized germanene as a prototype of large-gap two-dimensional topological insulators. Phys. Rev. B 89, 115429 (2014).10.1103/PhysRevB.89.115429 ↗
8. Xu, Y. et al. Large-gap quantum spin hall insulators in tin films. Phys. Rev. Lett. 111, 136804 (2013).10.1103/PhysRevLett.111.136804 ↗
9. Zhang, R.-W. et al. Ethynyl-functionalized stanene film: a promising candidate as large-gap quantum spin hall insulator. New J. Phys. 17, 083036 (2015).10.1088/1367-2630/17/8/083036 ↗
10. Zhao, H. et al. Unexpected giant-gap quantum spin hall insulator in chemically decorated plumbene monolayer. Sci. Rep. 6, 20152 (2016).10.1038/srep20152 ↗
11. Hsu, C.-H. et al. The nontrivial electronic structure of bi/sb honeycombs on SiC(0001). New J. Phys. 17, 025005 (2015).10.1088/1367-2630/17/2/025005 ↗
12. Li, G. et al. Theoretical paradigm for the quantum spin hall effect at high temperatures. Phys. Rev. B 98, 165146 (2018).10.1103/PhysRevB.98.165146 ↗
13. Reis, F. et al. Bismuthene on a sic substrate: a candidate for a high-temperature quantum spin hall material. Science 357, 287–290 (2017).10.1126/science.aai8142 ↗
14. Vitale, S. A. et al. Valleytronics: opportunities, challenges, and paths forward. Small 14, 1801483 (2018).10.1002/smll.201801483 ↗
15. Liu, Y. et al. Valleytronics in transition metal dichalcogenides materials. Nano Res. 12, 2695–2711 (2019).10.1007/s12274-019-2497-2 ↗
16. Zhao, S. et al. Valley manipulation in monolayer transition metal dichalcogenides and their hybrid systems: status and challenges. Rep. Prog. Phys. 84, 026401 (2021).10.1088/1361-6633/abdb98 ↗
17. Schaibley, J. R. et al. Valleytronics in 2d materials. Nat. Rev. Mater. 1, 16055 (2016).10.1038/natrevmats.2016.55 ↗
18. Xiao, D., Yao, W. & Niu, Q. Valley-contrasting physics in graphene: magnetic moment and topological transport. Phys. Rev. Lett. 99, 236809 (2007).10.1103/PhysRevLett.99.236809 ↗
19. Yao, W., Xiao, D. & Niu, Q. Valley-dependent optoelectronics from inversion symmetry breaking. Phys. Rev. B 77, 235406 (2008).10.1103/PhysRevB.77.235406 ↗
20. Cao, T. et al. Valley-selective circular dichroism of monolayer molybdenum disulphide. Nat. Commun. 3, 887 (2012).10.1038/ncomms1882 ↗
21. Sui, M. et al. Gate-tunable topological valley transport in bilayer graphene. Nat. Phys. 11, 1027–1031 (2015).10.1038/nphys3485 ↗
22. Zeng, H., Dai, J., Yao, W., Xiao, D. & Cui, X. Valley polarization in mos2 monolayers by optical pumping. Nat. Nanotechnol. 7, 490–493 (2012).10.1038/nnano.2012.95 ↗
23. Mak, K. F., He, K., Shan, J. & Heinz, T. F. Control of valley polarization in monolayer mos2 by optical helicity. Nat. Nanotechnol. 7, 494–498 (2012).10.1038/nnano.2012.96 ↗
24. Rycerz, A., Tworzydło, J. & Beenakker, C. W. J. Valley filter and valley valve in graphene. Nat. Phys. 3, 172–175 (2007).10.1038/nphys547 ↗
25. Mak, K. F., McGill, K. L., Park, J. & McEuen, P. L. The valley hall effect in mos2 transistors. Science 344, 1489–1492 (2014).10.1126/science.1250140 ↗
26. Shimazaki, Y. et al. Generation and detection of pure valley current by electrically induced berry curvature in bilayer graphene. Nat. Phys. 11, 1032–1036 (2015).10.1038/nphys3551 ↗
27. Mrudul, M. S., Jiménez-Galán, Á., Ivanov, M. & Dixit, G. Light-induced valleytronics in pristine graphene. Optica 8, 422–427 (2021).10.1364/OPTICA.418152 ↗
28. Islam, S. F. & Benjamin, C. A scheme to realize the quantum spin-valley hall effect in monolayer graphene. Carbon 110, 304–312 (2016).10.1016/j.carbon.2016.09.025 ↗
29. Jiang, Y., Low, T., Chang, K., Katsnelson, M. I. & Guinea, F. Generation of pure bulk valley current in graphene. Phys. Rev. Lett. 110, 046601 (2013).10.1103/PhysRevLett.110.046601 ↗
30. Cheng, S.-g, Zhang, R.-z, Zhou, J., Jiang, H. & Sun, Q.-F. Perfect valley filter based on a topological phase in a disordered sb monolayer heterostructure. Phys. Rev. B 97, 085420 (2018).10.1103/PhysRevB.97.085420 ↗
31. Pan, H., Li, X., Jiang, H., Yao, Y. & Yang, S. A. Valley-polarized quantum anomalous hall phase and disorder-induced valley-filtered chiral edge channels. Phys. Rev. B 91, 045404 (2015).10.1103/PhysRevB.91.045404 ↗
32. Zhang, F., Jung, J., Fiete, G. A., Niu, Q. & MacDonald, A. H. Spontaneous quantum hall states in chirally stacked few-layer graphene systems. Phys. Rev. Lett. 106, 156801 (2011).10.1103/PhysRevLett.106.156801 ↗
33. Zhou, T. et al. Quantum spin-valley hall kink states: from concept to materials design. Phys. Rev. Lett. 127, 116402 (2021).10.1103/PhysRevLett.127.116402 ↗
34. Chen, H. et al. Gate controlled valley polarizer in bilayer graphene. Nat. Commun. 11, 1202 (2020).10.1038/s41467-020-15117-y ↗
35. Ren, Y., Qiao, Z. & Niu, Q. Topological phases in two-dimensional materials: a review. Rep. Prog. Phys. 79, 066501 (2016).10.1088/0034-4885/79/6/066501 ↗
36. Ezawa, M. A topological insulator and helical zero mode in silicene under an inhomogeneous electric field. New J. Phys. 14, 033003 (2012).10.1088/1367-2630/14/3/033003 ↗
37. da Costa, D. R., Chaves, A., Sena, S. H. R., Farias, G. A. & Peeters, F. M. Valley filtering using electrostatic potentials in bilayer graphene. Phys. Rev. B 92, 045417 (2015).10.1103/PhysRevB.92.045417 ↗
38. Li, J. et al. Gate-controlled topological conducting channels in bilayer graphene. Nat. Nanotechnol. 11, 1060–1065 (2016).10.1038/nnano.2016.158 ↗
39. guang Cheng, S., Zhou, J., Jiang, H. & Sun, Q.-F. The valley filter efficiency of monolayer graphene and bilayer graphene line defect model. New J. Phys. 18, 103024 (2016).10.1088/1367-2630/18/10/103024 ↗
40. Pan, H., Li, X., Zhang, F. & Yang, S. A. Perfect valley filter in a topological domain wall. Phys. Rev. B 92, 041404 (2015).10.1103/PhysRevB.92.041404 ↗
41. Sun, Y., Zhao, H., Yu, Z.-M. & Pan, H. Valley current and spin-valley filter in topological domain wall. J. Appl. Phys. 125, 123904 (2019).10.1063/1.5081736 ↗
42. Liu, D.-P., Yu, Z.-M. & Liu, Y.-L. Pure spin current and perfect valley filter by designed separation of the chiral states in two-dimensional honeycomb lattices. Phys. Rev. B 94, 155112 (2016).10.1103/PhysRevB.94.155112 ↗
43. Abergel, D. S. L., Edge, J. M. & Balatsky, A. V. The role of spin–orbit coupling in topologically protected interface states in dirac materials. New J. Phys. 16, 065012 (2014).10.1088/1367-2630/16/6/065012 ↗
44. Yang, J.-E., Lü, X.-L., Zhang, C.-X. & Xie, H. Topological spin–valley filtering effects based on hybrid silicene-like nanoribbons. New J. Phys. 22, 053034 (2020).10.1088/1367-2630/ab84b4 ↗
45. Zhang, C.-X., Lü, X.-L. & Xie, H. Spin and spin-valley filter analysis of inner-edge states in hybrid silicene-like nanoribbons. J. Phys. D: Appl. Phys. 53, 195302 (2020).10.1088/1361-6463/ab7326 ↗
46. Wang, S. K., Wang, J. & Chan, K. S. Multiple topological interface states in silicene. New J. Phys. 16, 045015 (2014).10.1088/1367-2630/16/4/045015 ↗
47. Semenoff, G. W., Semenoff, V. & Zhou, F. Domain walls in gapped graphene. Phys. Rev. Lett. 101, 087204 (2008).10.1103/PhysRevLett.101.087204 ↗
48. Liu, Y., Song, J., Li, Y., Liu, Y. & Sun, Q.-f Controllable valley polarization using graphene multiple topological line defects. Phys. Rev. B 87, 195445 (2013).10.1103/PhysRevB.87.195445 ↗
49. Slager, R.-J., Juričić, V., Lahtinen, V. & Zaanen, J. Self-organized pseudo-graphene on grain boundaries in topological band insulators. Phys. Rev. B 93, 245406 (2016).10.1103/PhysRevB.93.245406 ↗
50. Slager, R.-J. The translational side of topological band insulators. J. Phys. Chem. Solids 128, 24–38 (2019).10.1016/j.jpcs.2018.01.023 ↗
51. Ni, Z. et al. Tunable bandgap in silicene and germanene. Nano Lett. 12, 113–118 (2012).10.1021/nl203065e ↗
52. Nadeem, M., Di Bernardo, I., Wang, X., Fuhrer, M. S. & Culcer, D. Overcoming boltzmann’s tyranny in a transistor via the topological quantum field effect. Nano Lett. 21, 3155–3161 (2021).10.1021/acs.nanolett.1c00378 ↗
53. Zhang, Y. et al. Direct observation of a widely tunable bandgap in bilayer graphene. Nature 459, 820–823 (2009).10.1038/nature08105 ↗
54. Wu, S. et al. Electrical tuning of valley magnetic moment through symmetry control in bilayer mos2. Nat. Phys. 9, 149–153 (2013).10.1038/nphys2524 ↗
55. Xiao, D., Liu, G.-B., Feng, W., Xu, X. & Yao, W. Coupled spin and valley physics in monolayers of mos2 and other group-vi dichalcogenides. Phys. Rev. Lett. 108, 196802 (2012).10.1103/PhysRevLett.108.196802 ↗
56. Ezawa, M. Valley-polarized metals and quantum anomalous hall effect in silicene. Phys. Rev. Lett. 109, 055502 (2012).10.1103/PhysRevLett.109.055502 ↗
57. Ezawa, M. Monolayer topological insulators: Silicene, germanene, and stanene. J. Phys. Soc. Japan 84, 121003 (2015).10.7566/JPSJ.84.121003 ↗
58. Yamada-Takamura, Y. & Friedlein, R. Progress in the materials science of silicene. Sci. Technol. Adv. Mater. 15, 064404 (2014).10.1088/1468-6996/15/6/064404 ↗
59. Tang, Q. & Zhou, Z. Graphene-analogous low-dimensional materials. Prog. Mater. Sci 58, 1244–1315 (2013).10.1016/j.pmatsci.2013.04.003 ↗
60. Kara, A. et al. A review on silicene - new candidate for electronics. Surf. Sci. Rep. 67, 1–18 (2012).10.1016/j.surfrep.2011.10.001 ↗
61. Tao, L. et al. Silicene field-effect transistors operating at room temperature. Nat. Nanotechnol. 10, 227–231 (2015).10.1038/nnano.2014.325 ↗
62. Bampoulis, P. et al. Germanene termination of ge2pt crystals on ge(110). J. Phys. Condens. Matter 26, 442001 (2014).10.1088/0953-8984/26/44/442001 ↗
63. Derivaz, M. et al. Continuous germanene layer on al(111). Nano Lett. 15, 2510–2516 (2015).10.1021/acs.nanolett.5b00085 ↗
64. Zhu, F.-f. et al. Epitaxial growth of two-dimensional stanene. Nature Materials 14, 1020–1025 (2015).10.1038/nmat4384 ↗
65. Kane, C. L. & Mele, E. J. Z2 topological order and the quantum spin hall effect. Phys. Rev. Lett. 95, 146802 (2005).10.1103/PhysRevLett.95.146802 ↗
66. Sakanashi, K. et al. Valley polarized conductance quantization in bilayer graphene narrow quantum point contact. Appl. Phys. Lett. 118, 263102 (2021).10.1063/5.0052845 ↗
67. Cao, W., Kang, J., Sarkar, D., Liu, W. & Banerjee, K. 2d semiconductor fets-projections and design for sub-10 nm vlsi. IEEE Trans. Electron Devices 62, 3459–3469 (2015).10.1109/TED.2015.2443039 ↗
68. Xu, Y., Chen, Y.-R., Wang, J., Liu, J.-F. & Ma, Z. Quantized field-effect tunneling between topological edge or interface states. Phys. Rev. Lett. 123, 206801 (2019).10.1103/PhysRevLett.123.206801 ↗
69. Groth, C. W., Wimmer, M., Akhmerov, A. R. & Waintal, X. Kwant: a software package for quantum transport. New J. Phys. 16, 063065 (2014).10.1088/1367-2630/16/6/063065 ↗
70. Basak, A., Brahma, P. & Muralidharan, B. Momentum relaxation effects in 2d-xene field effect device structures. J. Phys. D: Appl. Phys. 55, 075302 (2021).10.1088/1361-6463/ac3354 ↗
71. Sriram, P., Kalantre, S. S., Gharavi, K., Baugh, J. & Muralidharan, B. Supercurrent interference in semiconductor nanowire josephson junctions. Phys. Rev. B 100, 155431 (2019).10.1103/PhysRevB.100.155431 ↗
72. Duse, C., Sriram, P., Gharavi, K., Baugh, J. & Muralidharan, B. Role of dephasing on the conductance signatures of majorana zero modes. J. Phys. Condens. Matter 33, 365301 (2021).10.1088/1361-648X/ac0d16 ↗
73. Danielewicz, P. Quantum theory of nonequilibrium processes, I. Ann. Phys. 152, 239–304 (1984).10.1016/0003-4916(84)90092-7 ↗
74. Golizadeh-Mojarad, R. & Datta, S. Nonequilibrium green’s function based models for dephasing in quantum transport. Phys. Rev. B 75, 081301 (2007).10.1103/PhysRevB.75.081301 ↗
75. Lahiri, A., Gharavi, K., Baugh, J. & Muralidharan, B. Nonequilibrium green’s function study of magnetoconductance features and oscillations in clean and disordered nanowires. Phys. Rev. B 98, 125417 (2018).10.1103/PhysRevB.98.125417 ↗
76. Singha, A. & Muralidharan, B. Performance analysis of nanostructured peltier coolers. J. Appl. Phys. 124, 144901 (2018).10.1063/1.5044254 ↗
77. Singha, A. & Muralidharan, B. Incoherent scattering can favorably influence energy filtering in nanostructured thermoelectrics. Sci. Rep. 7, 7879 (2017).10.1038/s41598-017-07935-w ↗
78. Datta, S. Electronic transport in mesoscopic systems (Cambridge University Press, 1997).