IDEAS home Printed from https://ideas.repec.org/a/nat/natcom/v15y2024i1d10.1038_s41467-024-51215-x.html
   My bibliography  Save this article

Half-quantum mirror Hall effect

Author

Listed:
  • Bo Fu

    (Great Bay University)

  • Kai-Zhi Bai

    (The University of Hong Kong)

  • Shun-Qing Shen

    (The University of Hong Kong
    Quantum Science Center of Guangdong-Hong Kong-Macau Greater Bay Area)

Abstract

We predict a half-quantized mirror Hall effect induced by mirror symmetry in strong topological insulator films. These films are known to host a pair of gapless Dirac cones in the first Brillouin zone associated with surface electrons. Our findings reveal that mirror symmetry assigns a unique mirror parity to each Dirac cone, resulting in a half-quantized Hall conductance of $$\pm \! \frac{{e}^{2}}{2h}$$ ± e 2 2 h for each cone. Despite the total electrical Hall conductance being null due to time-reversal invariance, the difference in the Hall conductance between the two cones yields a quantized Hall conductance of $$\frac{{e}^{2}}{h}$$ e 2 h for the difference in mirror currents. The effect of helical edge mirror current - a crucial feature of this quantum effect - may, in principle, be determined by means of electrical measurements. The half-quantum mirror Hall effect reveals a type of mirror-symmetry induced quantum anomaly in a time-reversal invariant lattice system, giving rise to a topological metallic state of matter with time-reversal invariance.

Suggested Citation

  • Bo Fu & Kai-Zhi Bai & Shun-Qing Shen, 2024. "Half-quantum mirror Hall effect," Nature Communications, Nature, vol. 15(1), pages 1-14, December.
  • Handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-51215-x
    DOI: 10.1038/s41467-024-51215-x
    as

    Download full text from publisher

    File URL: https://www.nature.com/articles/s41467-024-51215-x
    File Function: Abstract
    Download Restriction: no

    File URL: https://libkey.io/10.1038/s41467-024-51215-x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Yuan Cao & Valla Fatemi & Shiang Fang & Kenji Watanabe & Takashi Taniguchi & Efthimios Kaxiras & Pablo Jarillo-Herrero, 2018. "Unconventional superconductivity in magic-angle graphene superlattices," Nature, Nature, vol. 556(7699), pages 43-50, April.
    2. Shuai Zhang & Li Pi & Rui Wang & Geliang Yu & Xing-Chen Pan & Zhongxia Wei & Jinglei Zhang & Chuanying Xi & Zhanbin Bai & Fucong Fei & Mingyu Wang & Jian Liao & Yongqing Li & Xuefeng Wang & Fengqi Son, 2017. "Anomalous quantization trajectory and parity anomaly in Co cluster decorated BiSbTeSe2 nanodevices," Nature Communications, Nature, vol. 8(1), pages 1-6, December.
    3. Timothy H. Hsieh & Hsin Lin & Junwei Liu & Wenhui Duan & Arun Bansil & Liang Fu, 2012. "Topological crystalline insulators in the SnTe material class," Nature Communications, Nature, vol. 3(1), pages 1-7, January.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ilia Komissarov & Tobias Holder & Raquel Queiroz, 2024. "The quantum geometric origin of capacitance in insulators," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    2. He Wang & Yanzhao Liu & Ming Gong & Hua Jiang & Xiaoyue Gao & Wenlong Ma & Jiawei Luo & Haoran Ji & Jun Ge & Shuang Jia & Peng Gao & Ziqiang Wang & X. C. Xie & Jian Wang, 2023. "Emergent superconductivity in topological-kagome-magnet/metal heterostructures," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    3. J. Díez-Mérida & A. Díez-Carlón & S. Y. Yang & Y.-M. Xie & X.-J. Gao & J. Senior & K. Watanabe & T. Taniguchi & X. Lu & A. P. Higginbotham & K. T. Law & Dmitri K. Efetov, 2023. "Symmetry-broken Josephson junctions and superconducting diodes in magic-angle twisted bilayer graphene," Nature Communications, Nature, vol. 14(1), pages 1-7, December.
    4. Li Chen & Cong Lin & Diwei Shi & Xuanyu Huang & Quanshui Zheng & Jinhui Nie & Ming Ma, 2023. "Fully automatic transfer and measurement system for structural superlubric materials," Nature Communications, Nature, vol. 14(1), pages 1-10, December.
    5. Xinyu Wang & Jinghua Jiang & Juan Chen & Zhawure Asilehan & Wentao Tang & Chenhui Peng & Rui Zhang, 2024. "Moiré effect enables versatile design of topological defects in nematic liquid crystals," Nature Communications, Nature, vol. 15(1), pages 1-14, December.
    6. Alejandro Ruiz & Brandon Gunn & Yi Lu & Kalyan Sasmal & Camilla M. Moir & Rourav Basak & Hai Huang & Jun-Sik Lee & Fanny Rodolakis & Timothy J. Boyle & Morgan Walker & Yu He & Santiago Blanco-Canosa &, 2022. "Stabilization of three-dimensional charge order through interplanar orbital hybridization in PrxY1−xBa2Cu3O6+δ," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    7. Sami Dzsaber & Diego A. Zocco & Alix McCollam & Franziska Weickert & Ross McDonald & Mathieu Taupin & Gaku Eguchi & Xinlin Yan & Andrey Prokofiev & Lucas M. K. Tang & Bryan Vlaar & Laurel E. Winter & , 2022. "Control of electronic topology in a strongly correlated electron system," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    8. Sahar Pakdel & Asbjørn Rasmussen & Alireza Taghizadeh & Mads Kruse & Thomas Olsen & Kristian S. Thygesen, 2024. "High-throughput computational stacking reveals emergent properties in natural van der Waals bilayers," Nature Communications, Nature, vol. 15(1), pages 1-10, December.
    9. Kaijie Yang & Zian Xu & Yanjie Feng & Frank Schindler & Yuanfeng Xu & Zhen Bi & B. Andrei Bernevig & Peizhe Tang & Chao-Xing Liu, 2024. "Topological minibands and interaction driven quantum anomalous Hall state in topological insulator based moiré heterostructures," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    10. Keshav Singh & Aaron Chew & Jonah Herzog-Arbeitman & B. Andrei Bernevig & Oskar Vafek, 2024. "Topological heavy fermions in magnetic field," Nature Communications, Nature, vol. 15(1), pages 1-12, December.
    11. Peng Wang & Qidong Fu & Ruihan Peng & Yaroslav V. Kartashov & Lluis Torner & Vladimir V. Konotop & Fangwei Ye, 2022. "Two-dimensional Thouless pumping of light in photonic moiré lattices," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    12. Avior Almoalem & Irena Feldman & Ilay Mangel & Michael Shlafman & Yuval E. Yaish & Mark H. Fischer & Michael Moshe & Jonathan Ruhman & Amit Kanigel, 2024. "The observation of π-shifts in the Little-Parks effect in 4Hb-TaS2," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    13. Märta A. Tschudin & David A. Broadway & Patrick Siegwolf & Carolin Schrader & Evan J. Telford & Boris Gross & Jordan Cox & Adrien E. E. Dubois & Daniel G. Chica & Ricardo Rama-Eiroa & Elton J. G. Sant, 2024. "Imaging nanomagnetism and magnetic phase transitions in atomically thin CrSBr," Nature Communications, Nature, vol. 15(1), pages 1-10, December.
    14. Yuri Saida & Thomas Gauthier & Hiroo Suzuki & Satoshi Ohmura & Ryo Shikata & Yui Iwasaki & Godai Noyama & Misaki Kishibuchi & Yuichiro Tanaka & Wataru Yajima & Nicolas Godin & Gaël Privault & Tomoharu, 2024. "Photoinduced dynamics during electronic transfer from narrow to wide bandgap layers in one-dimensional heterostructured materials," Nature Communications, Nature, vol. 15(1), pages 1-12, December.
    15. Anushree Datta & M. J. Calderón & A. Camjayi & E. Bascones, 2023. "Heavy quasiparticles and cascades without symmetry breaking in twisted bilayer graphene," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    16. Xiaozhou Zan & Xiangdong Guo & Aolin Deng & Zhiheng Huang & Le Liu & Fanfan Wu & Yalong Yuan & Jiaojiao Zhao & Yalin Peng & Lu Li & Yangkun Zhang & Xiuzhen Li & Jundong Zhu & Jingwei Dong & Dongxia Sh, 2024. "Electron/infrared-phonon coupling in ABC trilayer graphene," Nature Communications, Nature, vol. 15(1), pages 1-6, December.
    17. Suk Hyun Sung & Yin Min Goh & Hyobin Yoo & Rebecca Engelke & Hongchao Xie & Kuan Zhang & Zidong Li & Andrew Ye & Parag B. Deotare & Ellad B. Tadmor & Andrew J. Mannix & Jiwoong Park & Liuyan Zhao & Ph, 2022. "Torsional periodic lattice distortions and diffraction of twisted 2D materials," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    18. Robin Huber & Max-Niklas Steffen & Martin Drienovsky & Andreas Sandner & Kenji Watanabe & Takashi Taniguchi & Daniela Pfannkuche & Dieter Weiss & Jonathan Eroms, 2022. "Band conductivity oscillations in a gate-tunable graphene superlattice," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    19. Shouheng Chen & Zihan Liang & Jinshui Miao & Xiang-Long Yu & Shuo Wang & Yule Zhang & Han Wang & Yun Wang & Chun Cheng & Gen Long & Taihong Wang & Lin Wang & Han Zhang & Xiaolong Chen, 2024. "Infrared optoelectronics in twisted black phosphorus," Nature Communications, Nature, vol. 15(1), pages 1-10, December.
    20. C. D. Dashwood & A. H. Walker & M. P. Kwasigroch & L. S. I. Veiga & Q. Faure & J. G. Vale & D. G. Porter & P. Manuel & D. D. Khalyavin & F. Orlandi & C. V. Colin & O. Fabelo & F. Krüger & R. S. Perry , 2023. "Strain control of a bandwidth-driven spin reorientation in Ca3Ru2O7," Nature Communications, Nature, vol. 14(1), pages 1-9, December.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-51215-x. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.nature.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.