IDEAS home Printed from https://ideas.repec.org/a/nat/natcom/v13y2022i1d10.1038_s41467-022-32956-z.html
   My bibliography  Save this article

Determination of topological edge quantum numbers of fractional quantum Hall phases by thermal conductance measurements

Author

Listed:
  • Saurabh Kumar Srivastav

    (Indian Institute of Science)

  • Ravi Kumar

    (Indian Institute of Science)

  • Christian Spånslätt

    (Chalmers University of Technology)

  • K. Watanabe

    (National Institute of Material Science)

  • T. Taniguchi

    (National Institute of Material Science)

  • Alexander D. Mirlin

    (Karlsruhe Institute of Technology
    Karlsruhe Institute of Technology
    Petersburg Nuclear Physics Institute
    L. D. Landau Institute for Theoretical Physics RAS)

  • Yuval Gefen

    (Karlsruhe Institute of Technology
    Weizmann Institute of Science)

  • Anindya Das

    (Indian Institute of Science)

Abstract

To determine the topological quantum numbers of fractional quantum Hall (FQH) states hosting counter-propagating (CP) downstream (Nd) and upstream (Nu) edge modes, it is pivotal to study quantized transport both in the presence and absence of edge mode equilibration. While reaching the non-equilibrated regime is challenging for charge transport, we target here the thermal Hall conductance GQ, which is purely governed by edge quantum numbers Nd and Nu. Our experimental setup is realized with a hexagonal boron nitride (hBN) encapsulated graphite gated single layer graphene device. For temperatures up to 35 mK, our measured GQ at ν = 2/3 and 3/5 (with CP modes) match the quantized values of non-equilibrated regime (Nd + Nu)κ0T, where κ0T is a quanta of GQ. With increasing temperature, GQ decreases and eventually takes the value of the equilibrated regime ∣Nd − Nu∣κ0T. By contrast, at ν = 1/3 and 2/5 (without CP modes), GQ remains robustly quantized at Ndκ0T independent of the temperature. Thus, measuring the quantized values of GQ in two regimes, we determine the edge quantum numbers, which opens a new route for finding the topological order of exotic non-Abelian FQH states.

Suggested Citation

  • Saurabh Kumar Srivastav & Ravi Kumar & Christian Spånslätt & K. Watanabe & T. Taniguchi & Alexander D. Mirlin & Yuval Gefen & Anindya Das, 2022. "Determination of topological edge quantum numbers of fractional quantum Hall phases by thermal conductance measurements," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    • Handle: RePEc:nat:natcom:v:13:y:2022:i:1:d:10.1038_s41467-022-32956-z
    DOI: 10.1038/s41467-022-32956-z
    as

    Download full text from publisher

    File URL: https://www.nature.com/articles/s41467-022-32956-z
    File Function: Abstract
    Download Restriction: no
    File URL: https://libkey.io/10.1038/s41467-022-32956-z?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. Ravi Kumar & Saurabh Kumar Srivastav & Christian Spånslätt & K. Watanabe & T. Taniguchi & Yuval Gefen & Alexander D. Mirlin & Anindya Das, 2022. "Observation of ballistic upstream modes at fractional quantum Hall edges of graphene," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    2. Ron Aharon Melcer & Bivas Dutta & Christian Spånslätt & Jinhong Park & Alexander D. Mirlin & Vladimir Umansky, 2022. "Absent thermal equilibration on fractional quantum Hall edges over macroscopic scale," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    3. Filippo Pizzocchero & Lene Gammelgaard & Bjarke S. Jessen & José M. Caridad & Lei Wang & James Hone & Peter Bøggild & Timothy J. Booth, 2016. "The hot pick-up technique for batch assembly of van der Waals heterostructures," Nature Communications, Nature, vol. 7(1), pages 1-10, September.
    4. Y. Kasahara & T. Ohnishi & Y. Mizukami & O. Tanaka & Sixiao Ma & K. Sugii & N. Kurita & H. Tanaka & J. Nasu & Y. Motome & T. Shibauchi & Y. Matsuda, 2018. "Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid," Nature, Nature, vol. 559(7713), pages 227-231, July.
    5. Mitali Banerjee & Moty Heiblum & Vladimir Umansky & Dima E. Feldman & Yuval Oreg & Ady Stern, 2018. "Observation of half-integer thermal Hall conductance," Nature, Nature, vol. 559(7713), pages 205-210, July.
    6. Mitali Banerjee & Moty Heiblum & Amir Rosenblatt & Yuval Oreg & Dima E. Feldman & Ady Stern & Vladimir Umansky, 2017. "Observed quantization of anyonic heat flow," Nature, Nature, vol. 545(7652), pages 75-79, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ravi Kumar & Saurabh Kumar Srivastav & Ujjal Roy & Jinhong Park & Christian Spånslätt & K. Watanabe & T. Taniguchi & Yuval Gefen & Alexander D. Mirlin & Anindya Das, 2024. "Electrical noise spectroscopy of magnons in a quantum Hall ferromagnet," Nature Communications, Nature, vol. 15(1), pages 1-9, December.

    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. Jiaojie Yan & Yijia Wu & Shuai Yuan & Xiao Liu & L. N. Pfeiffer & K. W. West & Yang Liu & Hailong Fu & X. C. Xie & Xi Lin, 2023. "Anomalous quantized plateaus in two-dimensional electron gas with gate confinement," Nature Communications, Nature, vol. 14(1), pages 1-6, December.
    2. Ravi Kumar & Saurabh Kumar Srivastav & Ujjal Roy & Jinhong Park & Christian Spånslätt & K. Watanabe & T. Taniguchi & Yuval Gefen & Alexander D. Mirlin & Anindya Das, 2024. "Electrical noise spectroscopy of magnons in a quantum Hall ferromagnet," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    3. Aaron H. Barajas-Aguilar & Jasen Zion & Ian Sequeira & Andrew Z. Barabas & Takashi Taniguchi & Kenji Watanabe & Eric B. Barrett & Thomas Scaffidi & Javier D. Sanchez-Yamagishi, 2024. "Electrically driven amplification of terahertz acoustic waves in graphene," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    4. Hikaru Takeda & Masataka Kawano & Kyo Tamura & Masatoshi Akazawa & Jian Yan & Takeshi Waki & Hiroyuki Nakamura & Kazuki Sato & Yasuo Narumi & Masayuki Hagiwara & Minoru Yamashita & Chisa Hotta, 2024. "Magnon thermal Hall effect via emergent SU(3) flux on the antiferromagnetic skyrmion lattice," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    5. 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.
    6. Maciej Da̧browski & Shi Guo & Mara Strungaru & Paul S. Keatley & Freddie Withers & Elton J. G. Santos & Robert J. Hicken, 2022. "All-optical control of spin in a 2D van der Waals magnet," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    7. Mohit Kumar Jat & Priya Tiwari & Robin Bajaj & Ishita Shitut & Shinjan Mandal & Kenji Watanabe & Takashi Taniguchi & H. R. Krishnamurthy & Manish Jain & Aveek Bid, 2024. "Higher order gaps in the renormalized band structure of doubly aligned hBN/bilayer graphene moiré superlattice," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    8. M. Petrescu & Z. Berkson-Korenberg & Sujatha Vijayakrishnan & K. W. West & L. N. Pfeiffer & G. Gervais, 2023. "Large composite fermion effective mass at filling factor 5/2," Nature Communications, Nature, vol. 14(1), pages 1-6, December.
    9. G. Cassella & P. d’Ornellas & T. Hodson & W. M. H. Natori & J. Knolle, 2023. "An exact chiral amorphous spin liquid," Nature Communications, Nature, vol. 14(1), pages 1-6, December.
    10. Simrandeep Kaur & Tanima Chanda & Kazi Rafsanjani Amin & Divya Sahani & Kenji Watanabe & Takashi Taniguchi & Unmesh Ghorai & Yuval Gefen & G. J. Sreejith & Aveek Bid, 2024. "Universality of quantum phase transitions in the integer and fractional quantum Hall regimes," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    11. Hae Yeon Lee & Soumya Sarkar & Kate Reidy & Abinash Kumar & Julian Klein & Kenji Watanabe & Takashi Taniguchi & James M. LeBeau & Frances M. Ross & Silvija Gradečak, 2022. "Strong and Localized Luminescence from Interface Bubbles Between Stacked hBN Multilayers," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    12. Lu Chen & Étienne Lefrançois & Ashvini Vallipuram & Quentin Barthélemy & Amirreza Ataei & Weiliang Yao & Yuan Li & Louis Taillefer, 2024. "Planar thermal Hall effect from phonons in a Kitaev candidate material," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    13. June-Young M. Lee & H.-S. Sim, 2022. "Non-Abelian anyon collider," Nature Communications, Nature, vol. 13(1), pages 1-6, December.
    14. Farsane Tabataba-Vakili & Huy P. G. Nguyen & Anna Rupp & Kseniia Mosina & Anastasios Papavasileiou & Kenji Watanabe & Takashi Taniguchi & Patrick Maletinsky & Mikhail M. Glazov & Zdenek Sofer & Anvar , 2024. "Doping-control of excitons and magnetism in few-layer CrSBr," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    15. Yue Niu & Lei Li & Zhiying Qi & Hein Htet Aung & Xinyi Han & Reshef Tenne & Yugui Yao & Alla Zak & Yao Guo, 2023. "0D van der Waals interfacial ferroelectricity," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    16. David Barcons Ruiz & Hanan Herzig Sheinfux & Rebecca Hoffmann & Iacopo Torre & Hitesh Agarwal & Roshan Krishna Kumar & Lorenzo Vistoli & Takashi Taniguchi & Kenji Watanabe & Adrian Bachtold & Frank H., 2022. "Engineering high quality graphene superlattices via ion milled ultra-thin etching masks," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    17. Xu-Guang Zhou & Han Li & Yasuhiro H. Matsuda & Akira Matsuo & Wei Li & Nobuyuki Kurita & Gang Su & Koichi Kindo & Hidekazu Tanaka, 2023. "Possible intermediate quantum spin liquid phase in α-RuCl3 under high magnetic fields up to 100 T," Nature Communications, Nature, vol. 14(1), pages 1-7, December.
    18. Yiwei Chen & Yan Huang & Qingxin Li & Bingbing Tong & Guangli Kuang & Chuanying Xi & Kenji Watanabe & Takashi Taniguchi & Guangtong Liu & Zheng Zhu & Li Lu & Fu-Chun Zhang & Ying-Hai Wu & Lei Wang, 2024. "Tunable even- and odd-denominator fractional quantum Hall states in trilayer graphene," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    19. Sebastián Castilla & Hitesh Agarwal & Ioannis Vangelidis & Yuliy V. Bludov & David Alcaraz Iranzo & Adrià Grabulosa & Matteo Ceccanti & Mikhail I. Vasilevskiy & Roshan Krishna Kumar & Eli Janzen & Jam, 2024. "Electrical spectroscopy of polaritonic nanoresonators," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    20. Yuchen Lei & Junwei Ma & Jiaming Luo & Shenyang Huang & Boyang Yu & Chaoyu Song & Qiaoxia Xing & Fanjie Wang & Yuangang Xie & Jiasheng Zhang & Lei Mu & Yixuan Ma & Chong Wang & Hugen Yan, 2023. "Layer-dependent exciton polarizability and the brightening of dark excitons in few-layer black phosphorus," Nature Communications, Nature, vol. 14(1), pages 1-8, 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:13:y:2022:i:1:d:10.1038_s41467-022-32956-z. 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.