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arxiv: 2508.04935 · v2 · submitted 2025-08-06 · ❄️ cond-mat.mes-hall · cond-mat.mtrl-sci· quant-ph

Chern junctions in Moir\'e-Patterned Graphene/PbI2

Sun Yan , M. Monteverde , V. Derkach , K. Watanabe , T. Taniguchi , F. Chiodi , H. Bouchiat , A.D. Chepelianskii This is my paper

Pith reviewed 2026-05-18 23:44 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall cond-mat.mtrl-sciquant-ph
keywords moiré superlatticeChern junctionquantum Hall effecttopological insulatorgraphene heterostructurespin-orbit couplingHofstadter spectrumfractional conductance
0
0 comments X

The pith

Moiré domains in graphene/PbI2 form Chern junctions that produce a fractional 2/3 conductance plateau.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper studies magnetotransport in a hexagonal boron nitride, graphene, and PbI2 heterostructure that forms a moiré superlattice. It finds dissipationless transport at the charge neutrality point and a fractional plateau at 2/3 e2/h. The authors link these to Chern junctions between domains having different Chern numbers from moiré-modulated versus standard quantum Hall states. They propose that the moiré Hofstadter spectrum together with spin-orbit coupling induced by the PbI2 layer creates a high magnetic field topological insulator phase responsible for the ballistic transport.

Core claim

A fractional conductance plateau at 2/3 e²/h is observed and attributed to a Chern junction between domains with distinct Chern numbers from moiré-modulated and conventional integer quantum Hall states. The moiré Hofstadter spectrum coupled with proximity-induced spin-orbit interaction from PbI2 gives rise to a high magnetic field topological insulator phase that explains the ballistic transport at the charge neutrality point.

What carries the argument

Chern junction between domains with distinct Chern numbers originating from moiré-modulated and conventional integer quantum Hall states

If this is right

  • The strong moiré potential creates domains that nontrivially interrupt incompressible quantum Hall states.
  • The moiré Hofstadter spectrum displays an unconventional flavor sequence influenced by proximity spin-orbit coupling.
  • Coherent electronic interference appears along lines with Chern number vm = -2.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Similar Chern junctions may be engineered in other moiré heterostructures by choosing layers that induce strong spin-orbit coupling.
  • The combination of moiré patterning and proximity effects provides a route to tunable high-field topological phases in van der Waals stacks.
  • These domain junctions could be used to study edge-state transport or fractional statistics in controlled magnetic-field settings.

Load-bearing premise

The moiré potential creates distinct domains with different Chern numbers that give rise to the fractional plateau and ballistic transport specifically through Chern junctions and proximity-induced spin-orbit coupling rather than through disorder or other conventional quantum Hall mechanisms.

What would settle it

Measuring the transport in a similar structure without the PbI2 layer or with a weaker moiré potential to check if the 2/3 plateau and dissipationless transport at neutrality persist or vanish.

Figures

Figures reproduced from arXiv: 2508.04935 by A.D. Chepelianskii, F. Chiodi, H. Bouchiat, K. Watanabe, M. Monteverde, Sun Yan, T. Taniguchi, V. Derkach.

Figure 1
Figure 1. Figure 1: a) Schematic cross-section of the architecture (left), alongside bottom view of the PbI [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: a) Two-probe conductance as a function of gate voltage measured from contacts g–i at magnetic fields of 6 T and 9 T. [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Two-probe resistance measured as a function of magnetic field and gate voltage for contact pairs (a) [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Correlated resistance fluctuations in BN/graphene/PbI [PITH_FULL_IMAGE:figures/full_fig_p006_4.png] view at source ↗
read the original abstract

Expanding the moire material library continues to unlock novel quantum phases and emergent electronic behaviors. Here, we introduce PbI2 into the moire family and investigate the magnetotransport properties of moire superlattice in a hexagonal boron nitride/graphene/PbI2 heterostructures. In the high-field quantum Hall regime, we observe robust dissipationless transport at the charge neutrality point, indicative of incompressible states at filling factor vh = 0. Additionally, a fractional conductance plateau at 2/3 e2/h emerges, which we attribute to a Chern junction between domains with distinct Chern numbers originating from moire-modulated and conventional integer quantum Hall states. The moire Hofstadter spectrum displays an unconventional flavor sequence, likely influenced by proximity-induced spin-orbit coupling from the PbI2 layer. We also see coherent electronic interference along lines with Chern number vm = -2. These observations provide compelling evidence for the formation of moire domains that nontrivially interrupt incompressible quantum Hall states, reflecting the strong moire potential in the BN/graphene/PbI2 superlattice. We suggest that the moire Hofstadter spectrum coupled with the proximity-induced spin-orbit interaction from PbI2 gives rise to a high magnetic field topological insulator phase explaining ballistic transport at the charge neutrality point in the graphene monolayer.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript reports magnetotransport measurements in hBN-encapsulated graphene/PbI2 heterostructures forming a moiré superlattice. In the high-magnetic-field quantum Hall regime, the authors observe dissipationless transport at the charge neutrality point (vh = 0), a conductance plateau at 2/3 e²/h that they attribute to a Chern junction between moiré-modulated and conventional integer quantum Hall domains with distinct Chern numbers, an unconventional Hofstadter spectrum influenced by proximity-induced spin-orbit coupling from PbI2, and coherent interference along lines with Chern number vm = -2. They interpret these as evidence for strong moiré potential creating domains that interrupt incompressible states and for a high-field topological insulator phase.

Significance. If the central interpretations are substantiated by the data and a consistent theoretical mechanism, the work would add PbI2 to the moiré material library and provide an experimental route to Chern junctions and proximity-tuned topological phases in graphene. The observation of robust vh = 0 transport and interference features would be of interest to the mesoscopic and topological physics communities, though the fractional plateau interpretation requires careful validation against alternative explanations such as conventional fractional quantum Hall states or disorder.

major comments (2)
  1. [Abstract] Abstract (and the results/discussion sections attributing the 2/3 e²/h plateau): Standard Chern junction theory between domains with integer Chern numbers C1 and C2 predicts a number of chiral interface modes equal to |ΔC| = |C1 - C2|, yielding conductance quantized in integer multiples of e²/h. The manuscript attributes the observed fractional 2/3 e²/h plateau directly to such a junction between moiré-modulated and conventional integer quantum Hall states but supplies no mechanism (e.g., partial transmission, interaction effects, or modified edge structure) that would convert integer ΔC into a fractional value. This attribution is load-bearing for the central claim that the feature constitutes evidence for Chern junctions rather than a conventional fractional state or disorder-induced effect.
  2. [Discussion of moiré domains and Hofstadter spectrum] The assumption that the moiré potential is strong enough to create distinct domains with different Chern numbers that interrupt the incompressible quantum Hall states (and that the fractional plateau and ballistic CNP transport arise specifically from Chern junctions plus PbI2-induced SOC) is presented without quantitative support such as domain-size estimates, potential-strength calculations, or comparison to disorder scales. This premise underpins the interpretation of both the 2/3 plateau and the high-field TI phase.
minor comments (2)
  1. Clarify the notation for filling factors (vh vs. vm) and ensure consistent use throughout the text and figures.
  2. Provide error bars or statistical analysis on the conductance plateau values and the identification of the 2/3 feature to strengthen the claim of quantization.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading of our manuscript and for the constructive comments. We address the two major comments point by point below, indicating where revisions will be made to clarify and strengthen the interpretations.

read point-by-point responses

  1. Referee: [Abstract] Abstract (and the results/discussion sections attributing the 2/3 e²/h plateau): Standard Chern junction theory between domains with integer Chern numbers C1 and C2 predicts a number of chiral interface modes equal to |ΔC| = |C1 - C2|, yielding conductance quantized in integer multiples of e²/h. The manuscript attributes the observed fractional 2/3 e²/h plateau directly to such a junction between moiré-modulated and conventional integer quantum Hall states but supplies no mechanism (e.g., partial transmission, interaction effects, or modified edge structure) that would convert integer ΔC into a fractional value. This attribution is load-bearing for the central claim that the feature constitutes evidence for Chern junctions rather than a conventional fractional state or disorder.

    Authors: We agree that standard Chern-junction theory for integer Chern numbers yields integer conductance steps. In our system the moiré-modulated domains are embedded in a Hofstadter spectrum that is already modified by PbI2-induced spin-orbit coupling, which can alter the edge-mode structure and transmission probabilities at the domain boundaries. We will revise the discussion to outline possible mechanisms—partial transmission due to the unconventional flavor sequence, interaction effects within the moiré domains, or a modified edge reconstruction—that could produce an effective 2/3 quantization. We will also add a brief comparison with conventional fractional quantum Hall states and disorder-induced plateaus to make the interpretation more balanced. revision: yes

  2. Referee: [Discussion of moiré domains and Hofstadter spectrum] The assumption that the moiré potential is strong enough to create distinct domains with different Chern numbers that interrupt the incompressible quantum Hall states (and that the fractional plateau and ballistic CNP transport arise specifically from Chern junctions plus PbI2-induced SOC) is presented without quantitative support such as domain-size estimates, potential-strength calculations, or comparison to disorder scales. This premise underpins the interpretation of both the 2/3 plateau and the high-field TI phase.

    Authors: We acknowledge that explicit quantitative estimates would strengthen the domain picture. In the revised manuscript we will add (i) an estimate of the moiré potential amplitude extracted from the observed periodicity and the unconventional Hofstadter flavor sequence, (ii) domain-size bounds inferred from the length scale of the coherent interference features along the vm = −2 lines, and (iii) a comparison of these scales with typical disorder strengths reported for similar hBN-encapsulated graphene devices. These additions will provide the requested support for the formation of distinct Chern domains and for the high-field topological-insulator scenario. revision: yes

Circularity Check

0 steps flagged

No circularity: experimental observations with standard interpretive attribution

full rationale

The manuscript is an experimental report of magnetotransport data in a BN/graphene/PbI2 heterostructure. It presents measured conductance plateaus (including dissipationless transport at vh=0 and a 2/3 e²/h feature) and attributes them to moiré domains and Chern junctions based on standard quantum Hall and Hofstadter physics plus proximity SOC. No equations, fitted parameters renamed as predictions, self-definitional constructs, or load-bearing self-citations appear in the abstract or described claims. The derivation chain consists of direct experimental results interpreted via established condensed-matter concepts without reduction to the paper's own inputs by construction. This is the expected outcome for a primarily observational paper.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

Abstract-only review; no explicit free parameters, new entities, or non-standard axioms are stated. The interpretations implicitly rest on standard quantum Hall and Hofstadter theory.

axioms (1)
  • standard math Standard integer and fractional quantum Hall effect phenomenology applies to the moiré-modulated system
    Chern numbers, filling factors, and conductance plateaus are interpreted using conventional QHE concepts.

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Works this paper leans on

52 extracted references · 52 canonical work pages

  1. [1]

    Y. Cao, V. Fatemi, S. Fang, K. Watanabe, T. Taniguchi, E. Kaxiras, and P. Jarillo-Herrero, Unconventional super- conductivity in magic-angle graphene superlattices, Na- ture 556, 43 (2018)

    work page 2018

  2. [2]

    E. Y. Andrei and A. H. MacDonald, Graphene bilayers with a twist, Nature materials 19, 1265 (2020)

    work page 2020

  3. [3]

    Ribeiro-Palau, C

    R. Ribeiro-Palau, C. Zhang, K. Watanabe, T. Taniguchi, J. Hone, and C. R. Dean, Twistable electronics with dy- namically rotatable heterostructures, Science 361, 690 (2018)

    work page 2018

  4. [4]

    C. R. Dean, L. Wang, P. Maher, C. Forsythe, F. Ghahari, Y. Gao, J. Katoch, M. Ishigami, P. Moon, M. Koshino, et al., Hofstadter’s butterfly and the fractal quantum hall effect in moir´ e superlattices, Nature497, 598 (2013)

    work page 2013

  5. [5]

    Y. Xia, Z. Han, K. Watanabe, T. Taniguchi, J. Shan, and K. F. Mak, Superconductivity in twisted bilayer wse2, Nature 637, 833 (2025)

    work page 2025

  6. [6]

    K. P. Nuckolls and A. Yazdani, A microscopic perspec- tive on moir´ e materials, Nature Reviews Materials9, 460 (2024)

    work page 2024

  7. [7]

    H. Li, S. Li, E. C. Regan, D. Wang, W. Zhao, S. Kahn, K. Yumigeta, M. Blei, T. Taniguchi, K. Watanabe, et al., Imaging two-dimensional generalized wigner crys- tals, Nature 597, 650 (2021)

    work page 2021

  8. [8]

    K. F. Mak, J. Shan, and D. C. Ralph, Probing and con- trolling magnetic states in 2d layered magnetic materials, Nature Reviews Physics 1, 646 (2019)

    work page 2019

  9. [9]

    K. F. Mak and J. Shan, Semiconductor moir´ e materials, 8 Nature Nanotechnology 17, 686 (2022)

    work page 2022

  10. [10]

    X. Lai, G. Li, A. M. Coe, J. H. Pixley, K. Watanabe, T. Taniguchi, and E. Y. Andrei, Moir´ e periodic and quasiperiodic crystals in heterostructures of twisted bi- layer graphene on hexagonal boron nitride, Nature ma- terials , 1 (2025)

    work page 2025

  11. [11]

    X. Wang, C. Xu, S. Aronson, D. Bennett, N. Paul, P. J. Crowley, C. Collignon, K. Watanabe, T. Taniguchi, R. Ashoori, et al., Moir´ e band structure engineering us- ing a twisted boron nitride substrate, Nature Communi- cations 16, 178 (2025)

    work page 2025

  12. [12]

    Y. Xie, A. T. Pierce, J. M. Park, D. E. Parker, J. Wang, P. Ledwith, Z. Cai, K. Watanabe, T. Taniguchi, E. Kha- laf, et al. , Strong interactions and isospin symmetry breaking in a supermoir´ e lattice, Science , eadl2544 (2025)

    work page 2025

  13. [13]

    Yagmurcukardes, F

    M. Yagmurcukardes, F. M. Peeters, and H. Sahin, Elec- tronic and vibrational properties of pbi 2: From bulk to monolayer, Physical Review B 98, 085431 (2018)

    work page 2018

  14. [14]

    Zhang, Y

    J. Zhang, Y. Huang, Z. Tan, T. Li, Y. Zhang, K. Jia, L. Lin, L. Sun, X. Chen, Z. Li, et al. , Low-temperature heteroepitaxy of 2d pbi2/graphene for large-area flexible photodetectors, Advanced Materials 30, 1803194 (2018)

    work page 2018

  15. [15]

    Y. Sun, C. Morice, D. Garrot, R. Weil, K. Watanabe, T. Taniguchi, M. Monteverde, and A. D. Chepelian- skii, Quantum transport and spectroscopy of 2d per- ovskite/graphene heterostructures, Advanced Electronic Materials 10, 2400211 (2024)

    work page 2024

  16. [16]

    Zhong, D

    J. Zhong, D. Zhou, Q. Bai, C. Liu, X. Fan, H. Zhang, C. Li, R. Jiang, P. Zhao, J. Yuan, et al. , Growth of millimeter-sized 2d metal iodide crystals induced by ion- specific preference at water-air interfaces, Nature Com- munications 15, 3185 (2024)

    work page 2024

  17. [17]

    Y. Sun, Y. Yin, M. Pols, J. Zhong, Z. Huang, B. Liu, J. Liu, W. Wang, H. Xie, G. Zhan, et al. , Engineer- ing the phases and heterostructures of ultrathin hybrid perovskite nanosheets, Advanced materials 32, 2002392 (2020)

    work page 2020

  18. [18]

    Sinha, T

    S. Sinha, T. Zhu, A. France-Lanord, Y. Sheng, J. C. Grossman, K. Porfyrakis, and J. H. Warner, Atomic structure and defect dynamics of monolayer lead iodide nanodisks with epitaxial alignment on graphene, Nature communications 11, 823 (2020)

    work page 2020

  19. [19]

    Wang, L.-Y

    Q. Wang, L.-Y. Zhang, Z. Yuan, Y.-H. Song, Y. Jia, and W. Zhang, Crystal and electronic structures of epitaxial atomic thick lead iodide, The Journal of Physical Chem- istry C 128, 10865 (2024)

    work page 2024

  20. [20]

    Wang, D.-K

    Z. Wang, D.-K. Ki, H. Chen, H. Berger, A. H. Mac- Donald, and A. F. Morpurgo, Strong interface-induced spin–orbit interaction in graphene on ws2, Nature com- munications 6, 8339 (2015)

    work page 2015

  21. [21]

    Wakamura, F

    T. Wakamura, F. Reale, P. Palczynski, S. Gu´ eron, C. Mattevi, and H. Bouchiat, Strong anisotropic spin- orbit interaction induced in graphene by monolayer ws 2, Physical review letters 120, 106802 (2018)

    work page 2018

  22. [22]

    Island, X

    J. Island, X. Cui, C. Lewandowski, J. Y. Khoo, E. Span- ton, H. Zhou, D. Rhodes, J. Hone, T. Taniguchi, K. Watanabe, et al., Spin–orbit-driven band inversion in bilayer graphene by the van der waals proximity effect, Nature 571, 85 (2019)

    work page 2019

  23. [23]

    Zhang, T

    H. Zhang, T. Zhou, J. Zhang, B. Zhao, Y. Yao, and Z. Yang, Quantum anomalous hall effect in stanene on a nonmagnetic substrate, Physical Review B 94, 235409 (2016)

    work page 2016

  24. [24]

    Zhang, Z

    H. Zhang, Z. Wang, and X. Xu, Room temperature quan- tum spin hall insulator: Functionalized stanene on lay- ered pbi2 substrate, Applied Physics Letters 111 (2017)

    work page 2017

  25. [25]

    J. Liu, Y. Sun, Y. Zhou, C. Zhang, X. Wang, L. Wang, and M. Xiao, Few-layer pbi2 nanoparticle: a 2d semicon- ductor with lateral quantum confinement, The Journal of Physical Chemistry Letters 10, 7863 (2019)

    work page 2019

  26. [26]

    Janssen, A

    T. Janssen, A. Tzalenchuk, R. Yakimova, S. Kubatkin, S. Lara-Avila, S. Kopylov, and V. Fal’Ko, Anomalously strong pinning of the filling factor ν= 2 in epitaxial graphene, Physical Review B—Condensed Matter and Materials Physics 83, 233402 (2011)

    work page 2011

  27. [27]

    Z. R. Kudrynskyi, M. A. Bhuiyan, O. Makarovsky, J. D. Greener, E. E. Vdovin, Z. D. Kovalyuk, Y. Cao, A. Mishchenko, K. Novoselov, P. H. Beton, et al. , Gi- ant quantum hall plateau in graphene coupled to an inse van der waals crystal, Physical review letters119, 157701 (2017)

    work page 2017

  28. [28]

    Kopylov, A

    S. Kopylov, A. Tzalenchuk, S. Kubatkin, and V. I. Fal’ko, Charge transfer between epitaxial graphene and silicon carbide, Applied Physics Letters 97 (2010)

    work page 2010

  29. [29]

    R. Tao, L. Li, L.-J. Zhu, Y.-D. Yan, L.-H. Guo, X.- D. Fan, and C.-G. Zeng, Giant-capacitance-induced wide quantum hall plateaus in graphene on laalo3/srtio3 het- erostructures, Chinese Physics Letters 37, 077301 (2020)

    work page 2020

  30. [30]

    Y. Shi, S. Xu, Y. Yang, S. Slizovskiy, S. V. Morozov, S.- K. Son, S. Ozdemir, C. Mullan, J. Barrier, J. Yin, et al., Electronic phase separation in multilayer rhombohedral graphite, Nature 584, 210 (2020)

    work page 2020

  31. [31]

    Bocarsly, I

    M. Bocarsly, I. Roy, V. Bhardwaj, M. Uzan, P. Ledwith, G. Shavit, N. Banu, Y. Zhou, Y. Myasoedov, K. Watan- abe, et al. , Coulomb interactions and migrating dirac cones imaged by local quantum oscillations in twisted graphene, Nature Physics , 1 (2025)

    work page 2025

  32. [32]

    Barrier, M

    J. Barrier, M. Kim, R. K. Kumar, N. Xin, P. Kumar- avadivel, L. Hague, E. Nguyen, A. Berdyugin, C. Mouls- dale, V. Enaldiev, et al., One-dimensional proximity su- perconductivity in the quantum hall regime, Nature 628, 741 (2024)

    work page 2024

  33. [33]

    Abanin and L

    D. Abanin and L. Levitov, Quantized transport in graphene pn junctions in a magnetic field, Science 317, 641 (2007)

    work page 2007

  34. [34]

    ¨Ozyilmaz, P

    B. ¨Ozyilmaz, P. Jarillo-Herrero, D. Efetov, D. A. Abanin, L. S. Levitov, and P. Kim, Electronic transport and quan- tum hall effect in bipolar graphene p-n-p junctions, Phys- ical review letters 99, 166804 (2007)

    work page 2007

  35. [35]

    Williams, L

    J. Williams, L. DiCarlo, and C. Marcus, Quantum hall effect in a gate-controlled pn junction of graphene, Sci- ence 317, 638 (2007)

    work page 2007

  36. [36]

    Wannier, A result not dependent on rationality for bloch electrons in a magnetic field, physica status solidi (b) 88, 757 (1978)

    G. Wannier, A result not dependent on rationality for bloch electrons in a magnetic field, physica status solidi (b) 88, 757 (1978)

    work page 1978

  37. [37]

    L. Wang, Y. Gao, B. Wen, Z. Han, T. Taniguchi, K. Watanabe, M. Koshino, J. Hone, and C. R. Dean, Evidence for a fractional fractal quantum hall effect in graphene superlattices, Science 350, 1231 (2015)

    work page 2015

  38. [38]

    C. Shen, Y. Chu, Q. Wu, N. Li, S. Wang, Y. Zhao, J. Tang, J. Liu, J. Tian, K. Watanabe, et al. , Corre- lated states in twisted double bilayer graphene, Nature Physics 16, 520 (2020)

    work page 2020

  39. [39]

    Claro and G

    F. Claro and G. Wannier, Magnetic subband structure of electrons in hexagonal lattices, Physical review B 19, 6068 (1979). 9

    work page 1979

  40. [40]

    R. Ran, C. Cheng, Z.-Y. Zeng, X.-R. Chen, and Q.-F. Chen, Mechanical and thermal transport properties of monolayer pbi2 via first-principles investigations, Philo- sophical Magazine 99, 1277 (2019)

    work page 2019

  41. [41]

    Wang, D.-K

    Z. Wang, D.-K. Ki, J. Y. Khoo, D. Mauro, H. Berger, L. S. Levitov, and A. F. Morpurgo, Origin and magni- tude of ‘designer’spin-orbit interaction in graphene on semiconducting transition metal dichalcogenides, Physi- cal Review X 6, 041020 (2016)

    work page 2016

  42. [42]

    Nitta, T

    J. Nitta, T. Akazaki, H. Takayanagi, and T. Enoki, Gate control of spin-orbit interaction in an inverted i n 0.53 g a 0.47 as/i n 0.52 a l 0.48 as heterostructure, Physical Review Letters 78, 1335 (1997)

    work page 1997

  43. [43]

    Poumirol, W

    J.-M. Poumirol, W. Escoffier, A. Kumar, M. Goiran, B. Raquet, and J.-M. Broto, Electron–hole coexistence in disordered graphene probed by high-field magneto- transport, New Journal of Physics 12, 083006 (2010)

    work page 2010

  44. [44]

    Martin, N

    J. Martin, N. Akerman, G. Ulbricht, T. Lohmann, J. v. Smet, K. Von Klitzing, and A. Yacoby, Observation of electron–hole puddles in graphene using a scanning single-electron transistor, Nature physics 4, 144 (2008)

    work page 2008

  45. [45]

    M. Yang, O. Couturaud, W. Desrat, C. Consejo, D. Kazazis, R. Yakimova, M. Syv¨ aj¨ arvi, M. Goiran, J. B´ eard, P. Frings,et al., Puddle-induced resistance os- cillations in the breakdown of the graphene quantum hall effect, Physical review letters 117, 237702 (2016)

    work page 2016

  46. [46]

    G. Qiu, P. Zhang, P. Deng, S. K. Chong, L. Tai, C. Eck- berg, and K. L. Wang, Mesoscopic transport of quantum anomalous hall effect in the submicron size regime, Phys- ical review letters 128, 217704 (2022)

    work page 2022

  47. [47]

    M. Jo, P. Brasseur, A. Assouline, G. Fleury, H.-S. Sim, K. Watanabe, T. Taniguchi, W. Dumnernpanich, P. Roche, D. Glattli, et al., Quantum hall valley splitters and a tunable mach-zehnder interferometer in graphene, Physical Review Letters 126, 146803 (2021)

    work page 2021

  48. [48]

    D. S. Wei, T. van der Sar, J. D. Sanchez-Yamagishi, K. Watanabe, T. Taniguchi, P. Jarillo-Herrero, B. I. Halperin, and A. Yacoby, Mach-zehnder interferometry using spin-and valley-polarized quantum hall edge states in graphene, Science advances 3, e1700600 (2017)

    work page 2017

  49. [49]

    D´ eprez, L

    C. D´ eprez, L. Veyrat, H. Vignaud, G. Nayak, K. Watan- abe, T. Taniguchi, F. Gay, H. Sellier, and B. Sac´ ep´ e, A tunable fabry–p´ erot quantum hall interferometer in graphene, Nature nanotechnology 16, 555 (2021)

    work page 2021

  50. [50]

    Jo, J.-Y

    M. Jo, J.-Y. M. Lee, A. Assouline, P. Brasseur, K. Watan- abe, T. Taniguchi, P. Roche, D. Glattli, N. Kumada, F. Parmentier, et al. , Scaling behavior of electron deco- herence in a graphene mach-zehnder interferometer, Na- ture Communications 13, 5473 (2022)

    work page 2022

  51. [51]

    Werkmeister, J

    T. Werkmeister, J. R. Ehrets, Y. Ronen, M. E. Wes- son, D. Najafabadi, Z. Wei, K. Watanabe, T. Taniguchi, D. Feldman, B. I. Halperin, et al., Strongly coupled edge states in a graphene quantum hall interferometer, Nature Communications 15, 6533 (2024)

    work page 2024

  52. [52]

    Chakraborti, L

    H. Chakraborti, L. Pugliese, A. Assouline, K. Watan- abe, T. Taniguchi, N. Kumada, D. Glattli, M. Jo, H.-S. Sim, and P. Roulleau, Electron collision in a two-path graphene interferometer, Science 388, 492 (2025)

    work page 2025