Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Bipolar spin-conversion diode and quantum entanglement induced by the valley and pseudoparity mixing

Mengyao Li1, Ning Bu1, Jingguo Hu3, Yongchun Tao1,*, Hao Fu1,2,†, and Jun Wang4,‡

  • 1Department of Physics, Nanjing Normal University, Nanjing 210023, China
  • 2School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China
  • 3Department of Physics, Yangzhou University, Yangzhou 225009, China
  • 4Department of Physics, Southeast University, Nanjing 210096, China

  • *yctao88@163.com
  • †161002003@njnu.edu.cn
  • ‡jwang@seu.edu.cn

Phys. Rev. Research 4, 043078 – Published 4 November, 2022

DOI: https://doi.org/10.1103/PhysRevResearch.4.043078

Abstract

Herein, we report on a zigzag graphene superconducting junction with a superconductor sandwiched in between two magnetized zigzag graphene nanoribbons, where the valley and pseudoparity mixing are shown to bring about peculiar properties. We find that the bipolar spin diode and spin-conversion diode in the ferromagnetic configuration as well as quantum entanglement in the antiferromagnetic one are exhibited. The noncollinear angle combined with the valley and pseudoparity mixing in arbitrary magnetic configurations exerts a significant influence on the transport properties. In addition, not only the bipolar spin diode and magnetic storage with high efficiencies but also the bipolar spin-conversion diode and quantum entanglement can coexist in one setup. Particularly, the bipolar spin-conversion diode can be used to directly detect and confirm the helical spin texture of the edge state in a quantum spin Hall insulator.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (53)

  1. A. Rycerz, J. Tworzydlo, and C. W. J. Beenakker, Valley filter and valley valve in graphene, Nat. Phys. 3, 172 (2007).
  2. A. R. Akhmerov, J. H. Bardarson, A. Rycerz, and C. W. J. Beenakker, Theory of the valley-valve effect in graphene nanoribbons, Phys. Rev. B 77, 205416 (2008).
  3. A. Cresti, G. Grosso, and G. P. Parravicini, Valley-valve effect and even-odd chain parity in p−n graphene junctions Phys. Rev. B 77, 233402 (2008).
  4. D. Rainis, F. Taddei, F. Dolcini, M. Polini, and R. Fazio, Andreev reflection in graphene nanoribbons, Phys. Rev. B 79, 115131 (2009).
  5. J. Wang and S. Liu, Crossed Andreev reflection in a zigzag graphene nanoribbon-superconductor junction, Phys. Rev. B 85, 035402 (2012).
  6. W. F. Tsai, C. Y. Huang, T. R. Chang, H. Lin, H. T. Jeng, and A. Bansil, Gated silicene as a tunable source of nearly 100% spin-polarized electrons, Nat. Commun. 4, 1500 (2013).
  7. X. Zhai and G. Jin, Completely independent electrical control of spin and valley in a silicene field effect transistor, J. Phys.: Condens. Matter 28, 355002 (2016).
  8. Y. Xu and G. Jin, Manipulating topological inner-edge states in hybrid silicene nanoribbons, Phys. Rev. B 95, 155425 (2017).
  9. C. C. Liu, W. Feng, and Y. Yao, Quantum Spin Hall Effect in Silicene and Two-Dimensional Germanium, Phys. Rev. Lett. 107, 076802 (2011).
  10. N. Missault, P. Vasilopoulos, F. M. Peeters, and B. Van Duppen, Spin- and valley-dependent miniband structure and transport in silicene superlattices, Phys. Rev. B 93, 125425 (2016).
  11. Z. P. Niu, Spin-valley filter effect and Seebeck effect in a silicene based antiferromagnetic/ferromagnetic junction, New J. Phys. 21, 093044 (2019).
  12. X. L. Lü and H. Xie, Bipolar and unipolar valley filter effects in graphene-based P/N junction, New J. Phys. 22, 073003 (2020).
  13. A. Molle, J. Goldberger, M. Houssa, Y. Xu, S. C. Zhang, and D. Akinwande, Buckled two-dimensional Xene sheets, Nat. Mater. 16, 163 (2017).
  14. X. C. Zhai, R. Wen, X. F. Zhou, W. Chen, W. Yan, L. Y. Gong, Y. Pu, and X. A. Li, Valley-Mediated and Electrically Switched Bipolar-Unipolar Transition of the Spin-Diode Effect in Heavy Group-IV Monolayers, Phys. Rev. Appl. 11, 064047 (2019).
  15. Y. J. Wei, T. M. Liu, C. S. Huang, Y. C. Tao, and F. H. Qi, Controllable spin pairing states in silicene-based superconducting hybrid structures with noncollinear magnetizations, Phys. Rev. Res. 3, 033131 (2021).
  16. Y. Xue, H. Huan, B. Zhao, Y. H. Luo, Z. Y. Zhang, and Z. Q. Yang, Higher-order topological insulators in two-dimensional Dirac materials, Phys. Rev. Res. 3, L042044 (2021).
  17. S.-R. Eric Yang, M. C. Cha, H. J. Lee, and Y. H. Kim, Topologically ordered zigzag nanoribbon: e/2 fractional edge charge, spin-charge separation, and ground-state degeneracy, Phys. Rev. Res. 2, 033109 (2020).
  18. M. Alidoust, A.-P. Jauho, and J. Akola, Josephson effect in graphene bilayers with adjustable relative displacement, Phys. Rev. Res. 2, 032074(R) (2020).
  19. M. Alidoust, M. Willatzen, and A.-P. Jauho, Symmetry of superconducting correlations in displaced bilayers of graphene, Phys. Rev. B 99, 155413 (2019).
  20. M. Alidoust, C. H. Shen, and I. Žutić, Cubic spin-orbit coupling and anomalous Josephson effect in planar junctions, Phys. Rev. B 103, L060503 (2021).
  21. C. S. Huang, Y. J. Wei, Y. C. Tao, and J. Wang, Spin-orbit coupling assisted magnetoanisotropic Josephson effect in ferromagnetic graphene Josephson junctions, Phys. Rev. B 103, 035418 (2021).
  22. C. S. Huang, Y. Yang, Y. C. Tao, and J. Wang, Identifying the graphene d-wave superconducting symmetry by an anomalous splitting zero-bias conductance peak, New J. Phys. 22, 033018 (2020).
  23. J. Linder, M. Zareyan, and A. Sudbø, Spin-switch effect from crossed Andreev reflection in superconducting graphene spin valves, Phys. Rev. B 80, 014513 (2009).
  24. C. A. Merchant and N. Marković, Electrically Tunable Spin Polarization in a Carbon Nanotube Spin Diode, Phys. Rev. Lett. 100, 156601 (2008).
  25. F. Qi, Y. Ying, and G. Jin, Thermally driven unipolar and bipolar spin diode based on double quantum dots, J. Appl. Phys. 112, 084324 (2012).
  26. Y. Wang, Y. Liu, and B. Wang, Graphene spin diode: Strain-modulated spin rectification, Appl. Phys. Lett. 105, 052409 (2014).
  27. Z. H. Zhang, Y. S. Gui, L. Fu, X. L. Fan, J. W. Cao, D. S. Xue, P. P. Freitas, D. Houssameddine, S. Hemour, K. Wu, and C. M. Hu, Seebeck Rectification Enabled by Intrinsic Thermoelectrical Coupling in Magnetic Tunneling Junctions, Phys. Rev. Lett. 109, 037206 (2012).
  28. A. Iovan, S. Andersson, Yu. G. Naidyuk, A. Vedyaev, B. Dieny, and V. Korenivski, Spin diode based on Fe/MgO double tunnel junction, Nano Lett. 8, 805 (2008).
  29. J. P. Eisenstein, L. N. Pfeiffer, and K. W. West, Quantum Hall Spin Diode, Phys. Rev. Lett. 118, 186801 (2017).
  30. K. Modi, A. Brodutch, H. Cable, T. Paterek, and V. Vedral, The classical-quantum boundary for correlations: Discord and related measures, Rev. Mod. Phys. 84, 1655 (2012).
  31. L. Aolita, F. de Melo, and L. Davidovich, Open-system dynamics of entanglement: a key issues review, Rep. Prog. Phys. 78, 042001 (2015).
  32. A. Einstein, B. Podolsky, and N. Rosen, Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?, Phys. Rev. 47, 777 (1935).
  33. Y. T. Zhang, Z. Hou, X. C. Xie, and Q. F. Sun, Quantum perfect crossed Andreev reflection in top-gated quantum anomalous Hall insulator¨Csuperconductor junctions, Phys. Rev. B 95, 245433 (2017).
  34. L. Hofstetter, S. Csonka, J. Nygård, and C. Schönenberger, Cooper pair splitter realized in a two-quantum-dot Y-junction, Nature (London) 461, 960 (2009).
  35. F. H. Qi, J. Cao, and G. J. Jin, Valley-controlled nonlocal transistor based on irradiated and biased bilayer graphene, Phys. Rev. B 98, 045422 (2018).
  36. J. Wang, L. Hao, and K. S. Chan, Quantized crossed-Andreev reflection in spin-valley topological insulators, Phys. Rev. B 91, 085415 (2015).
  37. L. Hofstetter, S. Csonka, A. Baumgartner, G. Fülöp, S. d'Hollosy, J. Nygård, and C. Schönenberger, Finite-Bias Cooper Pair Splitting, Phys. Rev. Lett. 107, 136801 (2011).
  38. L. G. Herrmann, F. Portier, P. Roche, A. L. Yeyati, T. Kontos, and C. Strunk, Carbon Nanotubes as Cooper-Pair Beam Splitters, Phys. Rev. Lett. 104, 026801 (2010).
  39. Z. Hou, Y. Xing, A.-M. Guo, and Q. F. Sun, Crossed Andreev effects in two-dimensional quantum Hall systems, Phys. Rev. B 94, 064516 (2016).
  40. W. Chen, R. Shen, L. Sheng, B. G. Wang, and D. Y. Xing, Resonant nonlocal Andreev reflection in a narrow quantum spin Hall system, Phys. Rev. B 84, 115420 (2011).
  41. T. M. Liu, F. J. Chen, Y. C. Tao, and C. S. Huang, Perfect modulation between fully spin-polarized spin-singlet and-triplet Andreev entanglements in a narrow quantum spin Hall system, Europhys. Lett. 132, 37001 (2020).
  42. C. Y. Hou, E. A. Kim, and C. Chamon, Corner Junction as a Probe of Helical Edge States, Phys. Rev. Lett. 102, 076602 (2009).
  43. T. L. Schmidt, Current Correlations in Quantum Spin Hall Insulators, Phys. Rev. Lett. 107, 096602 (2011).
  44. J. M. Edge, J. Li, P. Delplace, and M. Büttiker, Z2 Peak of Noise Correlations in a Quantum Spin Hall Insulator, Phys. Rev. Lett. 110, 246601 (2013).
  45. F. Romeo and R. Citro, Interaction effects in nonequilibrium transport properties of a four-terminal topological corner junction, Phys. Rev. B 90, 155408 (2014).
  46. S. Das and S. Rao, Spin-Polarized Scanning-Tunneling Probe for Helical Luttinger Liquids, Phys. Rev. Lett. 106, 236403 (2011).
  47. A. Soori, S. Das, and S. Rao, Magnetic-field-induced Fabry-Pérot resonances in helical edge states, Phys. Rev. B 86, 125312 (2012).
  48. K. Luo, W. Chen, L. Sheng, and D. Y. Xing, Random-Gate-Voltage Induced Al'tshuler-Aronov-Spivak Effect in Topological Edge States, Chin. Phys. Lett. 38, 110302 (2021).
  49. W. Chen, W. Y. Deng, J. M. Hou, D. N. Shi, L. Sheng, and D. Y. Xing, π Spin Berry Phase in a Quantum-Spin-Hall-Insulator-Based Interferometer: Evidence for the Helical Spin Texture of the Edge States, Phys. Rev. Lett. 117, 076802 (2016).
  50. A. A. Golubov, M. Yu. Kupriyanov, and E. Il'ichev, The current-phase relation in Josephson junctions, Rev. Mod. Phys. 76, 411 (2004).
  51. A. I. Buzdin, Proximity effects in superconductor-ferromagnet heterostructures, Rev. Mod. Phys. 77, 935 (2005).
  52. F. S. Bergeret, A. F. Volkov, and K. B. Efetov, Odd triplet superconductivity and related phenomena in superconductor-ferromagnet structures, Rev. Mod. Phys. 77, 1321 (2005).
  53. M. P. López Sancho, J. M. López Sancho, and J. Rubio, Highly convergent schemes for the calculation of bulk and surface Green functions, J. Phys. F: Met. Phys. 15, 851 (1985).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation