首页 > 论文 > Photonics Research > 8卷 > 9期(pp:1-7)

Topological photonic crystal of large valley Chern numbers

  • 摘要
  • 论文信息
  • 参考文献
  • 被引情况
  • PDF全文
分享:

Abstract

The recent realizations of a topological valley phase in a photonic crystal, an analog of gapped valleytronic materials in an electronic system, are limited to the valley Chern number of one. In this paper, we present a type of valley phase that can have a large valley Chern number of two or three. The valley phase transitions between the different valley Chern numbers (from one to three) are realized by changing the configuration of the unit cell. We demonstrate that these topological phases can guide the wave propagation robustly along a sharply bent domain wall. We believe our results are promising for the exploration of new topological phenomena in photonic systems.

广告组1.2 - 空间光调制器+DMD
补充资料

DOI:10.1364/PRJ.396872

所属栏目:Research Articles

基金项目:National Natural Science Foundation of China10.13039/501100001809;

收稿日期:2020-05-05

录用日期:2020-07-01

网络出版日期:2020-07-07

作者单位    点击查看

Xiang Xi:School of Electronic Science and Engineering, Nanjing University, Nanjing 200023, China
Kang-Ping Ye:School of Electronic Science and Engineering, Nanjing University, Nanjing 200023, China
Rui-Xin Wu:School of Electronic Science and Engineering, Nanjing University, Nanjing 200023, China

联系人作者:Rui-Xin Wu(rxwu@nju.edu.cn)

备注:National Natural Science Foundation of China10.13039/501100001809;

【1】T. Ozawa, H. M. Price, A. Amo, N. Goldman, M. Hafezi, L. Lu, M. Rechtsman, D. Schuster, J. Simon and O. Zilberberg. Topological photonics. Rev. Mod. Phys. 91, (2019).

【2】S. Raghu and F. D. M. Haldane. Possible realization of directional optical waveguides in photonic crystals with broken time-reversal symmetry. Phys. Rev. Lett. 100, (2008).

【3】F. D. M. Haldane and S. Raghu. Analogs of quantum-Hall-effect edge states in photonic crystals. Phys. Rev. A. 78, (2008).

【4】Z. Wang, Y. D. Chong, J. D. Joannopoulos and M. Solja?i?. Reflection-free one-way edge modes in a gyromagnetic photonic crystal. Phys. Rev. Lett. 100, (2008).

【5】Z. Wang, Y. D. Chong, J. D. Joannopoulos and M. Solja?i?. Observation of unidirectional backscattering-immune topological electromagnetic states. Nature. 461, 772-775(2009).

【6】S. A. Skirlo, L. Lu and M. Solja?i?. Multimode one-way waveguides of large Chern numbers. Phys. Rev. Lett. 113, (2014).

【7】S. A. Skirlo, L. Lu, Y. C. Igarashi, Q. H. Yan, J. Joannopoulos and M. Solja?i?. Experimental observation of large Chern numbers in photonic crystals. Phys. Rev. Lett. 115, (2015).

【8】L. Lu, J. D. Joannopoulos and M. Solja?i?. Topological photonics. Nat. Photonics. 8, 821-829(2014).

【9】A. B. Khanikaev and G. Shvets. Two-dimensional topological photonics. Nat. Photonics. 11, 763-773(2017).

【10】C. He, X. C. Sun, X. P. Liu, M. H. Lu, Y. L. Chen, L. Feng and Y. F. Chen. Photonic topological insulator with broken time-reversal symmetry. Proc. Natl. Acad. Sci. USA. 113, 4924-4928(2016).

【11】Y. Poo, R. X. Wu, Z. F. Lin, Y. Yang and C. T. Chan. Experimental realization of self-guiding unidirectional electromagnetic edge states. Phys. Rev. Lett. 106, (2011).

【12】Z. G. Chen, J. Mei, X. C. Sun, X. Zhang, J. Zhao and Y. Wu. Multiple topological phase transitions in a gyromagnetic photonic crystal. Phys. Rev. A. 95, (2017).

【13】L. H. Wu and X. Hu. Scheme for achieving a topological photonic crystal by using dielectric material. Phys. Rev. Lett. 114, (2015).

【14】Y. Yang, Y. F. Xu, T. Xu, H. X. Wang, J. H. Jiang, X. Hu and Z. H. Hang. Visualization of a unidirectional electromagnetic waveguide using topological photonic. Phys. Rev. Lett. 120, (2018).

【15】L. Xu, H. X. Wang, Y. D. Xu, H. Y. Chen and J. H. Jiang. Accidental degeneracy in photonic bands and topological phase transitions in two-dimensional core-shell dielectric photonic crystals. Opt. Express. 24, 18059-18071(2016).

【16】X. Zhu, H. X. Wang, C. Xu, Y. Lai, J.-H. Jiang and S. John. Topological transitions in continuously deformed photonic crystals. Phys. Rev. B. 97, (2018).

【17】R. E. Christiansen, F. W. Wang and O. Sigmund. Topological insulators by topology optimization. Phys. Rev. Lett. 122, (2019).

【18】S. Barik, H. Miyake, W. DeGottardi, E. Waks and M. Hafezi. Two-dimensionally confined topological edge states in photonic crystals. New J. Phys. 18, (2016).

【19】X. D. Xu, W. Yao, D. Xiao and T. F. Heinz. Spin and pseudospins in layered transition metal dichalcogenides. Nat. Phys. 10, 343-350(2014).

【20】J. W. Dong, X. D. Chen, H. Y. Zhu, Y. Wang and X. Zhang. Valley photonic crystals for control of spin and topology. Nat. Mater. 16, 298-302(2017).

【21】Z. Gao, Z. Yang, F. Gao, H. Xue, Y. Yang, J. Dong and B. Zhang. Valley surface-wave photonic crystal and its bulk/edge transport. Phys. Rev. B. 96, (2017).

【22】T. Ma and G. Shvets. All-Si valley-Hall photonic topological insulator. New J. Phys. 18, (2016).

【23】F. Gao, H. Xue, Z. Yang, K. Lai, Y. Yu, X. Lin, Y. Chong, G. Shvets and B. Zhang. Topologically protected refraction of robust kink states in valley photonic crystals. Nat. Phys. 14, 140-144(2018).

【24】X. D. Chen, F. L. Zhao, M. Chen and J. W. Dong. Valley-contrasting physics in all-dielectric photonic crystals: orbital angular momentum and topological propagation. Phys. Rev. B. 96, (2017).

【25】X. D. Chen, F. L. Shi, H. Liu, J. C. Lu, W. M. Deng, J. Y. Dai, Q. Cheng and J. W. Dong. Tunable electromagnetic flow control in valley photonic crystal waveguides. Phys. Rev. Appl. 10, (2018).

【26】X. T. He, E. T. Liang, J. J. Yuan, H. Y. Qiu, X. D. Chen, F. L. Zhao and J. W. Dong. A silicon-on-insulator slab for topological valley transport. Nat. Commun. 10, (2019).

【27】L. Zhang, Y. H. Yang, M. J. He, H. X. Wang, Z. J. Yang, E. P. Li, F. Gao, B. L. Zhang, R. J. Singh, J. H. Jiang and H. S. Chen. Valley kink states and topological channel intersections in substrate-integrated photonic circuitry. Laser Photon. Rev. 13, (2019).

【28】Q. Chen, L. Zhang, M. He, Z. Wang, X. Lin, F. Gao, Y. Yang, B. Zhang and H. Chen. Valley-Hall photonic topological insulators with dual-band kink states. Adv. Opt. Mater. 7, (2019).

【29】Y. Zeng, U. Chattopadhyay, B. Zhu, B. Qiang, J. Li, Y. Jin, L. E. Li, A. G. Davies, E. H. Linfield, B. Zhang, Y. Chong and Q. J. Wang. Electrically pumped topological laser with valley edge modes. Nature. 578, 246-250(2020).

【30】L. Ye, Y. Yang, Z. H. Hang, C. Qiu and Z. Liu. Observation of valley-selective microwave transport in photonic crystals. Appl. Phys. Lett. 111, (2017).

【31】J. Noh, S. Huang, K. P. Chen and M. C. Rechtsman. Observation of photonic topological valley Hall edge states. Phys. Rev. Lett. 120, (2018).

【32】Y. T. Yang, H. Jiang and Z. H. Hang. Topological valley transport in two dimensional honeycomb photonic crystals. Sci. Rep. 8, (2018).

【33】J. Ma, X. Xi and X. Sun. Topological photonic integrated circuits based on valley kink states. Laser Photon. Rev. 13, (2019).

【34】X. L. Qi, Y. S. Wu and S. C. Zhang. General theorem relating the bulk topological number to edge states in two-dimensional insulators. Phys. Rev. B. 74, (2006).

【35】R. S. Mong and V. Shivamoggi. Edge states and the bulk-boundary correspondence in Dirac Hamiltonians. Phys. Rev. B. 83, (2011).

【36】D. Xiao, M. C. Chang and Q. Niu. Berry phase effects on electronic properties. Rev. Mod. Phys. 82, 1959-2007(2010).

【37】T. Fukui, Y. Hatsugai and H. Suzuki. Chern numbers in discretized Brillouin zone: efficient method of computing (spin) Hall conductances. J. Phys. Soc. Jpn. 74, 1674-1677(2005).

【38】L. Zhang and S. S. Xiao. Valley-Hall-like photonic topological insulators with vanishing Berry curvature. (2019).

【39】Z. Y. Li, L. L. Lin and K. M. Ho. Light coupling with multimode photonic crystal waveguides. Appl. Phys. Lett. 84, 4699-4701(2004).

【40】H. J. Kim, I. Park, O. Beom-Hoan, S. G. Park, E. H. Lee and S. G. Lee. Self-imaging phenomena in multi-mode photonic crystal line-defect waveguides: application to wavelength de-multiplexing. Opt. Express. 12, 5625-5633(2004).

【41】I. Park, H. S. Lee, H. J. Kim, K. M. Moon, S. G. Lee, O. Beom-Hoan, S. G. Park and E. H. Lee. Photonic crystal power-splitter based on directional coupling. Opt. Express. 12, 3599-3604(2004).

引用该论文

Xiang Xi, Kang-Ping Ye, and Rui-Xin Wu, "Topological photonic crystal of large valley Chern numbers," Photonics Research 8(9), B1 (2020)

您的浏览器不支持PDF插件,请使用最新的(Chrome/Fire Fox等)浏览器.或者您还可以点击此处下载该论文PDF