Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Formation of a Dirac Cone and Dynamic Control of its Half-Metallic Properties Using Double-Layer Ring Dipole Arrays

Go Itami* and Osamu Sakai

  • Department of Electronic Systems Engineering, The University of Shiga Prefecture, 2500 Hassaka-cho, Hikone, Shiga, 522-8533, Japan

  • *ot68gitami@ec.usp.ac.jp

Phys. Rev. Applied 20, 034012 – Published 7 September, 2023

DOI: https://doi.org/10.1103/PhysRevApplied.20.034012

Abstract

Dirac cone formation and a method for dynamically controlling the band gap using double-layer ring dipole arrays (RDAs) are demonstrated and proposed. The design is mainly based on the composite right-handed–left-handed circuit theorem. It is theoretically and analytically confirmed that the Dirac cone appears at the optimum separation in double-layer RDAs, which are known to have surface-wave modes in the case of a single-layer RDA. It is also found that the band gap can be formed and controlled by decreasing the separation between the two layers. The Dirac cone formation and its dynamic control method on the artificial structure will open the possibility of new transistor applications as an artificial electronic material showing the properties of Dirac half-metals.

Physics Subject Headings (PhySH)

Article Text

References (34)

  1. K. v. Klitzing, G. Dorda, and M. Pepper, New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance, Phys. Rev. Lett. 45, 494 (1980).
  2. B. A. Bernevig and S-C. Zhang, Quantum Spin Hall Effect, Phys. Rev. Lett. 96, 106802 (2006).
  3. M. Z. Hasan and C. L. Kane, Colloquium: Topological insulators, Rev. Mod. Phys. 82, 3045 (2010).
  4. T. Yoda and M. Notomi, Generation and Annihilation of Topologically Protected Bound States in the Continuum and Circularly Polarized States by Symmetry Breaking, Phys. Rev. Lett. 125, 053902 (2020).
  5. Z. Wang, Y. Sun, X. Q. Chen, C. Franchini, G. Xu, H. Weng, X. Dai, and Z. Fang, Dirac semimetal and topological phase transitions in A3Bi (A = Na, K, Rb), Phys. Rev. B 85, 195320 (2012).
  6. Z. Wang, H. Weng, Q. Wu, X. Dai, and Z. Fang, Three-dimensional Dirac semimetal and quantum transport in Cd3As2, Phys. Rev. B 88, 125427 (2013).
  7. T. Chen, T. Tomita, S. Minami, M. Fu, T. Koretsune, M. Kitatani, I. Muhammad, D. Nishio-Hamane, R. Ishii, F. Ishii, R. Arita, and S. Nakatsuji, Anomalous transport due to Weyl fermions in the chiral antiferromagnets Mn3X,X=Sn,Ge, Nat. Commun. 12, 572 (2021).
  8. M. Kim, Z. Wang, Y. Yang, H. T. Teo, J. Rho, and B. Zhang, Three-dimensional photonic topological insulator without spin-orbit coupling, Nat. Commun. 13, 3499 (2022).
  9. H. Ishizuka and Y. Motome, Dirac Half-Metal in a Triangular Ferrimagnet, Phys. Rev. Lett. 109, 237207 (2012).
  10. Y. Zhang, T. T. Tang, C. Girit, Z. Hao, M. C. Martin, A. Zettl, M. F. Crommie, Y. R. Shen, and F. Wang, Direct observation of a widely tunable bandgap in bilayer graphene, Nature 459, 820 (2009).
  11. Y. W. Son, M. L. Cohen, and S. G. Louie, Energy Gaps in Graphene Nanoribbons, Phys. Rev. Lett. 98, 089901 (2007).
  12. H. Takenaka, S. Sandhoefner, A. A. Kovalev, and E. Y. Tsymbal, Magnetoelectric control of topological phases in graphene, Phys. Rev. B 100, 125156 (2019).
  13. Y. Gao, X. Lin, T. Smart, P. Ci, K. Watanabe, T. Taniguchi, R. Jeanloz, J. Ni, and J. Wu, Band Engineering of Large-Twist-Angle Graphene/h-BN Moiré Superlattices with Pressure, Phys. Rev. Lett. 125, 226403 (2020).
  14. Y-G. Sang, J-Y. Lu, Y-H. Ouyang, H-Y. Luan, J-H. Wu, J-Y. Li, and R-M. Ma, Topological polarization singular lasing with highly efficient radiation channel, Nat. Commun. 13, 6485 (2022).
  15. S. Sun, Y. Ding, H. Li, P. Hu, C. W. Cheng, Y. Sang, F. Cao, Y. Hu, A. Alù, D. Liu, Z. Wang, S. Gwo, D. Han, and J. Shi, Tunable plasmonic bound states in the continuum in the visible range, Phys. Rev. B 103, 045416 (2021).
  16. G. Itami and O. Sakai, Independent control method for plasmonic skin depth based on transformation from spoof surface plasmon polaritons to bound states in the continuum, Phys. Rev. B 106, 245406 (2022).
  17. K. Sakoda, Dirac cone in two- and three-dimensional metamaterials, Opt. Express 20, 3898 (2012).
  18. K. Sakoda, Double Dirac cones in triangular-lattice metamaterials, Opt. Express 20, 9925 (2012).
  19. S. Nagai and A. Sanada, Γ-point group velocity of lossy Dirac cone composite right/left-handed metamaterials, IEICE Electron. Express 13, 20160281 (2016).
  20. A. Sanada, C. Caloz, and T. Itoh, Characteristics of the composite right/left-handed transmission lines, IEEE Microw. Wirel. Compon. Lett. 14, 68 (2004).
  21. A. Sanada, S. Nagai, and T. Yamamoto, Angle selective high absorption by a mushroom metasurface at V-band, Proc. of 2013 Asia-Paific Microwave Conf., T2F-3 (2011).
  22. A. Sanada and S. Nagai, Extremely high absorption by Dirac cone mushroom metasurfaces in millimeter-wave regions, Proc. 5th Int. Conf. on Metamateirals, Photonic Crystals and Plasmonics, A415 (2014).
  23. Y. Li, C. T. Chan, and E. Mazur, Dirac-like cone-based electromagnetic zero-index metamaterials, Light Sci. Appl. 10, 203 (2021).
  24. M. W. Ashraf and M. Faryad, On the mapping of Dirac-like cone dispersion in dielectric photonic crystals to an effective zero-index medium, J. Opt. Soc. Am. B 33, 1008 (2016).
  25. D. I. Vulis, Y. Li, O. Reshef, P. C. Muñoz, M. Yin, S. Kita, M. Lončar, and E. Mazur, Monolithic CMOS-compatible zero-index metamaterials, Opt. Express 25, 12381 (2017).
  26. G. Itami and O. Sakai, Analysis and observation of the breakdown of Babinet’s principle in complementary spoof surface plasmon polariton structures, Sci. Rep. 10, 11027 (2020).
  27. Y-M. Lin, C. Dimitrakopoulous, K. A. Jenkins, D. B. Farmer, H-Y. Chiu, A. Grill, and P. H. Avouris, 100-GHz transistors from wafer-scale epitaxial graphene, Science 327, 5966 (2010).
  28. K. Nishiguchi, H. Yamaguchi, and Akira Fujiwara, Subgigahertz Multilayer-Graphene Nanoelectromechanical System Integrated with a Nanometer-Scale Silicon Transistor Driven by Reflectometry, Phys. Rev. Appl. 19, L011003 (2023).
  29. M. Gong, P. Hu, Q. Song, H. Xiang, and D. Han, Bound states in the continuum from a symmetric mode with a dominant toroidal dipole resonance, Phys. Rev. A 105, 033504 (2022).
  30. Y. Li, N. An, Z. Lu, Y. Wang, B. Chang, T Tan, X. Guo, X. Xu, J. He, H. Xia, Z. Wu, Y. Su, Y. Liu, Y. Rao, G. Soavi, and B. Yao, Nonlinear co-generation of graphene plasmons for optoelectronic logic operations, Nat. Commun. 13, 3138 (2022).
  31. F. W. Grover, Inductance Calculations: Working Formulas and Tables (Dover, New York, 1946).
  32. D. W. Mikhail, A. Kats, and F. Capasso, Spoof surface plasmon waveguide forces, Opt. Lett. 39, 517 (2014).
  33. X. Zhang, Observing Zitterbewegung for Photons near the Dirac Point of a Two-Dimensional Photonic Crystal, Phys. Rev. Lett. 100, 113903 (2008).
  34. J. Zhang, S. Deng, Z. Liu, and Z. Liu, The rare two-dimensional materials with Dirac cones, Natl. Sci. Rev. 2, 22 (2015).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation