pith. sign in

arxiv: 2606.05356 · v1 · pith:UANEQQ5Nnew · submitted 2026-06-03 · ❄️ cond-mat.supr-con · cond-mat.mes-hall· cond-mat.str-el

Fermiology and the Candidate Chiral Superconductor in Rhombohedral Tetralayer Graphene

Sandesh S. Kalantre , Ben H. Alexander , Julian May-Mann , Jonah Herzog-Arbeitman , Marisa Hocking , Qingrui Cao , Kenji Watanabe , Takashi Taniguchi
show 6 more authors
David Goldhaber-Gordon Andrew J. Mannix Trithep Devakul Yves H. Kwan Daniel E. Parker Aaron Sharpe
This is my paper

Pith reviewed 2026-06-28 03:22 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con cond-mat.mes-hallcond-mat.str-el
keywords rhombohedral tetralayer graphenequantum oscillationsFermi surfacesuperconductivitynormal statemultitone statechiral pairing
0
0 comments X

The pith

Quantum oscillations reveal a multitone normal state in rhombohedral tetralayer graphene that persists into the superconducting region.

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

The paper measures quantum oscillations to determine the Fermi surface geometry in rhombohedral tetralayer graphene over a wide density range that includes superconductivity. At higher carrier densities the oscillations match expectations for a spin- and valley-polarized quarter metal with one simply-connected pocket. At lower densities the oscillation spectrum becomes multitone and cannot be explained by that simple quarter-metal picture. This multitone state continues through the superconducting regime, so the normal-state structure that hosts the superconductivity is more complex than earlier models assumed.

Core claim

As carrier density is reduced a transition occurs to a complex multitone state whose quantum-oscillation spectrum is incompatible with a simply-connected quarter metal; this state persists through the superconducting region. Microscopic modeling identifies fully-polarized annular, nematic, and three-pocket states as the next-simplest candidates, yet none fully accounts for the measured spectrum.

What carries the argument

Quantum oscillations in magnetotransport, which encode the extremal areas of the Fermi surface through the periodicity of resistance versus magnetic field.

If this is right

  • The superconducting pairing mechanism must be reconsidered in the context of a multitone rather than quarter-metal normal state.
  • Any proposed chirality of the order parameter must be consistent with the actual measured Fermi-surface structure.
  • Earlier interpretations that treated the normal state as a simple quarter metal near the superconducting dome require revision.

Where Pith is reading between the lines

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

  • The multitone spectrum may indicate multiple disjoint pockets whose relative areas set constraints on possible pairing channels.
  • Similar oscillation measurements at still lower densities or in neighboring multilayer graphenes could test whether the multitone regime is generic.
  • Theoretical calculations of the superconducting gap symmetry now need to incorporate the observed multitone fermiology as input.

Load-bearing premise

The quantum oscillations directly reflect the Fermi-surface geometry without dominant interference from scattering or pairing effects near the superconducting transition.

What would settle it

A single-frequency oscillation spectrum at low densities that quantitatively matches the quarter-metal prediction would contradict the reported multitone state.

Figures

Figures reproduced from arXiv: 2606.05356 by Aaron Sharpe, Andrew J. Mannix, Ben H. Alexander, Daniel E. Parker, David Goldhaber-Gordon, Jonah Herzog-Arbeitman, Julian May-Mann, Kenji Watanabe, Marisa Hocking, Qingrui Cao, Sandesh S. Kalantre, Takashi Taniguchi, Trithep Devakul, Yves H. Kwan.

Figure 1
Figure 1. Figure 1: FIG. 1 [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2 [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3 [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4 [PITH_FULL_IMAGE:figures/full_fig_p007_4.png] view at source ↗
read the original abstract

Chiral superconductivity, in which the phase of the superconducting order parameter winds in momentum space, has long been sought for its close link to topological superconductivity. Recent work reported a superconductor in rhombohedral multilayer graphene emerging from a time-reversal symmetry broken normal state, suggesting that it could be a chiral superconductor. However, the possibility of chirality depends on the symmetry and structure of the normal-state Fermi surface, which have not been directly measured. Here we measure quantum oscillations in rhombohedral tetralayer graphene over a broad range of the phase diagram, including the superconducting region. At densities well above the onset of superconductivity, we reproduce previously-reported oscillations consistent with a spin- and valley-polarized quarter metal with a single simply-connected Fermi pocket. As the carrier density is reduced, we find a transition to a complex "multitone" state that persists through the superconducting region. This state's spectrum of quantum oscillations is incompatible with a simply-connected quarter metal. The next-simplest candidate normal states suggested by our microscopic modeling (fully-polarized annular, nematic, and three-pocket states) are inconsistent with our measurements, albeit difficult to rule out entirely. The normal state is thus seen to be richer than previously envisaged, reshaping the search for the superconducting mechanism and the possible chirality of the pairing channel.

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 quantum oscillation measurements in rhombohedral tetralayer graphene across a broad density range, including the superconducting region. At high carrier densities the oscillations match a spin- and valley-polarized quarter metal with a single simply-connected Fermi pocket; at lower densities a transition occurs to a complex multitone oscillation spectrum that persists through superconductivity. The authors conclude via microscopic modeling that this spectrum is incompatible with the quarter metal and with the next-simplest alternatives (fully-polarized annular, nematic, and three-pocket states), implying a richer normal state that reshapes the search for the superconducting mechanism and possible pairing chirality.

Significance. If the incompatibility conclusion holds, the work would be significant for the field: it supplies direct fermiology data through the superconducting dome in a candidate chiral superconductor and uses modeling to test concrete alternatives. The broad measurement range and explicit comparison to enumerated normal-state candidates are strengths. The result would shift focus away from the previously assumed quarter-metal normal state.

major comments (2)
  1. [Microscopic modeling] The central claim that the multitone spectrum is incompatible with a simply-connected quarter metal (and with the enumerated alternatives) rests on the assumption that the observed frequencies directly encode normal-state Fermi-surface geometry. The manuscript notes that the alternatives are difficult to rule out entirely; quantitative mismatch criteria (e.g., predicted versus measured frequencies with error bars) should be shown explicitly in the modeling section to make the exclusion load-bearing.
  2. [Quantum oscillations in the superconducting region] The multitone state is reported to persist through the superconducting region, yet the possibility that oscillations receive contributions from pairing fluctuations, vortex scattering, or magnetic breakdown is not quantitatively bounded. This assumption is load-bearing because the abstract and main claim rely on the spectrum reflecting an unconventional normal-state Fermi surface rather than superconducting-regime effects.
minor comments (2)
  1. [Figure captions and results section] Figure captions and the main text should explicitly state the magnetic-field and temperature windows used for frequency extraction in the multitone regime so that readers can assess proximity to the superconducting transition.
  2. [Notation] Notation for the multitone frequencies (e.g., how the multiple peaks are labeled) should be defined once in the text and used consistently in all figures and tables.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading, positive assessment of the work's significance, and constructive comments. We address each major comment point by point below, indicating revisions made to strengthen the manuscript.

read point-by-point responses

  1. Referee: [Microscopic modeling] The central claim that the multitone spectrum is incompatible with a simply-connected quarter metal (and with the enumerated alternatives) rests on the assumption that the observed frequencies directly encode normal-state Fermi-surface geometry. The manuscript notes that the alternatives are difficult to rule out entirely; quantitative mismatch criteria (e.g., predicted versus measured frequencies with error bars) should be shown explicitly in the modeling section to make the exclusion load-bearing.

    Authors: We agree that explicit quantitative mismatch criteria will make the modeling more load-bearing. In the revised manuscript we have added a new panel to Figure 4 and Supplementary Note 3 that directly compares predicted frequencies (with uncertainties propagated from the microscopic model parameters) for the quarter-metal, annular, nematic, and three-pocket states against the measured frequencies (with experimental error bars). The mismatches for the three alternative states exceed the combined uncertainties by several standard deviations, while we retain the original caveat that complete exclusion remains difficult. These additions are referenced in the main text. revision: yes

  2. Referee: [Quantum oscillations in the superconducting region] The multitone state is reported to persist through the superconducting region, yet the possibility that oscillations receive contributions from pairing fluctuations, vortex scattering, or magnetic breakdown is not quantitatively bounded. This assumption is load-bearing because the abstract and main claim rely on the spectrum reflecting an unconventional normal-state Fermi surface rather than superconducting-regime effects.

    Authors: We acknowledge the concern. The revised manuscript now includes an expanded discussion (new paragraph in Section III.C and Supplementary Note 4) that addresses possible superconducting-regime contributions. We note that the multitone spectrum persists at fields well above B_c2 and temperatures above T_c in control data, and its temperature and field dependence follows Lifshitz-Kosevich form. We provide order-of-magnitude estimates showing that pairing fluctuations and vortex scattering are unlikely to generate the observed frequency set. A fully quantitative bound on magnetic breakdown is not possible with the present dataset; we have therefore softened the abstract and main-text claims to reflect this limitation while preserving the central conclusion. revision: partial

Circularity Check

0 steps flagged

No significant circularity; claims rest on new measurements and independent modeling

full rationale

The paper's central claims derive from direct quantum oscillation measurements over a range of densities, including through the superconducting region, and explicit comparison of the resulting multitone spectra against microscopic modeling of candidate Fermi surfaces (quarter metal, annular, nematic, three-pocket). No load-bearing step reduces a prediction to a fitted parameter defined by the same data, invokes a self-citation as an unverified uniqueness theorem, or renames a known result as a new derivation. The incompatibility conclusions follow from mismatch between observed frequencies and the enumerated model spectra, with the derivation remaining self-contained against external experimental benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Experimental measurement paper; no derivation, free parameters, or postulated entities appear in the abstract.

pith-pipeline@v0.9.1-grok · 5866 in / 1049 out tokens · 74941 ms · 2026-06-28T03:22:32.742444+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Valley Valves at Domain Walls in Symmetry-Broken Rhombohedral Graphene

    cond-mat.mes-hall 2026-06 unverdicted novelty 7.0

    Valley domain walls act as impenetrable barriers to transport in metallic rhombohedral graphene unless intervalley interactions mediate transmission, and intervalley mixing is required for appreciable supercurrent in ...

Reference graph

Works this paper leans on

98 extracted references · 28 canonical work pages · cited by 1 Pith paper · 2 internal anchors

  1. [1]

    Geometrical effects in orbital magnetic susceptibility

    Geometrical effects in orbital magnetic susceptibility. , keywords =. doi:10.1103/PhysRevB.91.214405 , archivePrefix =. 1411.0324 , primaryClass =

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1103/physrevb.91.214405

  2. [2]

    Orbital magnetism of coupled bands models

    Orbital magnetism of coupled bands models. arXiv e-prints , keywords =. doi:10.48550/arXiv.1411.5940 , archivePrefix =. 1411.5940 , primaryClass =

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.48550/arxiv.1411.5940

  3. [3]

    Nature Communications , keywords =

    Magic of High-Order van Hove Singularity. Nature Communications , keywords =. doi:10.1038/s41467-019-13670-9 , archivePrefix =. 1901.05432 , primaryClass =

    work page doi:10.1038/s41467-019-13670-9 1901

  4. [4]

    Kalantre, S. S. and Alexander, B. H. and May-Mann, J. and Herzog-Arbeitman, J. and Hocking, M. and Cao, Q. and Watanabe, K. and Taniguchi, T. and Goldhaber-Gordon, D. and Mannix, A. J. and Devakul, T. and Kwan, Y. H. and Parker, D. E. and Sharpe, A. , journal =

  5. [5]

    , keywords =

    Topological Flat Bands in Rhombohedral Tetralayer and Multilayer Graphene on Hexagonal Boron Nitride Moir \'e Superlattices. , keywords =. doi:10.1103/PhysRevB.108.155406 , archivePrefix =. 2304.12874 , primaryClass =

    work page doi:10.1103/physrevb.108.155406

  6. [6]

    Jo, Insun and Liu, Yang and Pfeiffer, L. N. and West, K. W. and Baldwin, K. W. and Shayegan, M. and Winkler, R. , year =. Signatures of an Annular. Physical Review B , volume =

  7. [7]

    Nature , volume =

    Signatures of Chiral Superconductivity in Rhombohedral Graphene , author =. Nature , volume =. 2025 , publisher =

    2025

  8. [8]

    2016 , month = may, journal =

    Chiral Superconductors , author =. 2016 , month = may, journal =

    2016

  9. [9]

    Coexistence of Superconductivity and Ferromagnetism in

    Aoki, Dai and Huxley, Andrew and Ressouche, Eric and Braithwaite, Daniel and Flouquet, Jacques and Brison, Jean-Pascal and Lhotel, Elsa and Paulsen, Carley , year =. Coexistence of Superconductivity and Ferromagnetism in. Nature , volume =

  10. [10]

    Saxena, S. S. and Agarwal, P. and Ahilan, K. and Grosche, F. M. and Haselwimmer, R. K. W. and Steiner, M. J. and Pugh, E. and Walker, I. R. and Julian, S. R. and Monthoux, P. and Lonzarich, G. G. and Huxley, A. and Sheikin, I. and Braithwaite, D. and Flouquet, J. , year =. Superconductivity on the Border of Itinerant-Electron Ferromagnetism in. Nature , volume =

  11. [11]

    2024 , month = feb, journal =

    Interface-Induced Superconductivity in Magnetic Topological Insulators , author =. 2024 , month = feb, journal =

    2024

  12. [12]

    and Kalisky, Beena and Bell, Christopher and Kim, Minu and Hikita, Yasuyuki and Hwang, Harold Y

    Bert, Julie A. and Kalisky, Beena and Bell, Christopher and Kim, Minu and Hikita, Yasuyuki and Hwang, Harold Y. and Moler, Kathryn A. , year =. Direct Imaging of the Coexistence of Ferromagnetism and Superconductivity at the. Nature Physics , volume =

  13. [13]

    1964 , month = aug, journal =

    Superconductivity in a Strong Spin-Exchange Field , author =. 1964 , month = aug, journal =

    1964

  14. [14]

    Density of States in Inhomogeneous Superconductors , author =. Sov. Phys. JETP , volume =

  15. [15]

    2025 , month = may, journal =

    Intravalley Spin-Polarized Superconductivity in Rhombohedral Tetralayer Graphene , author =. 2025 , month = may, journal =

    2025

  16. [16]

    Nature Communications , year=

    Geier, Max and Davydova, Margarita and Fu, Liang , title=. Nature Communications , year=. doi:10.1038/s41467-025-66902-6 , url=

    work page doi:10.1038/s41467-025-66902-6

  17. [17]

    Parra-Mart. Band. 2025 , month = sep, journal =

    2025

  18. [18]

    Chiral Superconductivity from a Parent

    Wang, Yan-Qi and Gao, Zhi-Qiang and Yang, Hui , journal =. Chiral Superconductivity from a Parent. 2026 , month =. doi:10.1103/fdz1-dbf6 , url =

    work page doi:10.1103/fdz1-dbf6 2026

  19. [19]

    Quarter-

    Yoon, Chiho and Xu, Tianyi and Barlas, Yafis and Zhang, Fan , year =. Quarter-. Physical Review Letters , volume =

  20. [20]

    1984 , publisher =

    Magnetic Oscillations in Metals , author =. 1984 , publisher =

    1984

  21. [21]

    2021 , month = oct, journal =

    Half- and Quarter-Metals in Rhombohedral Trilayer Graphene , author =. 2021 , month = oct, journal =

    2021

  22. [22]

    2025 , month = nov, journal =

    Isospin Magnetic Texture and Intervalley Exchange Interaction in Rhombohedral Tetralayer Graphene , author =. 2025 , month = nov, journal =

    2025

  23. [23]

    2011 , publisher=

    Zhang, Lingfeng M and Fogler, Michael M and Arovas, Daniel P , journal=. 2011 , publisher=

    2011

  24. [24]

    Communications Physics , volume=

    Films of Rhombohedral Graphite as Two-Dimensional Topological Semimetals , author=. Communications Physics , volume=. 2019 , publisher=

    2019

  25. [25]

    and Wang, Chong and Duan, Wenhui and Glazman, Leonid , year =

    Alexandradinata, A. and Wang, Chong and Duan, Wenhui and Glazman, Leonid , year =. Revealing the. Physical Review X , volume =

  26. [26]

    and Glazman, Leonid , year =

    Alexandradinata, A. and Glazman, Leonid , year =. Geometric. Physical Review Letters , volume =

  27. [27]

    and Glazman, Leonid , year =

    Alexandradinata, A. and Glazman, Leonid , year =. Semiclassical Theory of. Physical Review B , volume =

  28. [28]

    and Falicov, L

    Cohen, Morrel H. and Falicov, L. M. , year =. Magnetic. Physical Review Letters , volume =

  29. [29]

    Physical Review B , volume =

    Single-Gate Tracking Behavior in Flat-band Multilayer Graphene Devices , author =. Physical Review B , volume =. 2026 , month = feb, publisher =

    2026

  30. [30]

    2008 , month = apr, journal =

    Chiral Decomposition in the Electronic Structure of Graphene Multilayers , author =. 2008 , month = apr, journal =

    2008

  31. [31]

    Trigonal Warping and

    Koshino, Mikito and McCann, Edward , year =. Trigonal Warping and. Physical Review B , volume =

  32. [32]

    II , author=

    Ground-State Energy of a Many-Fermion System. II , author=. Physical Review , volume=. 1960 , publisher=

    1960

  33. [33]

    2000 , month=

    Oshikawa, Masaki , journal=. 2000 , month=. doi:10.1103/PhysRevLett.84.3370 , url=

    work page doi:10.1103/physrevlett.84.3370 2000

  34. [34]

    De Haas--van Alphen Spectroscopy and Magnetic Breakdown in Moir

    Bocarsly, Matan and Uzan, Matan and Roy, Indranil and Grover, Sameer and Xiao, Jiewen and Dong, Zhiyu and Labendik, Mikhail and Uri, Aviram and Huber, Martin E and Myasoedov, Yuri and others , journal=. De Haas--van Alphen Spectroscopy and Magnetic Breakdown in Moir. 2024 , publisher=

    2024

  35. [35]

    Incommensurate Intervalley Coherent States in

    Vituri, Yaar and Xiao, Jiewen and Pareek, Keshav and Holder, Tobias and Berg, Erez , journal =. Incommensurate Intervalley Coherent States in. 2025 , month =. doi:10.1103/PhysRevB.111.075103 , url =

    work page doi:10.1103/physrevb.111.075103 2025

  36. [36]

    EPL (Europhysics Letters) , volume=

    Quantum Oscillations in the Linear Chain of Coupled Orbits: the Organic Metal with Two Cation Layers -(ET) 4CoBr4 (C6H4Cl2) , author=. EPL (Europhysics Letters) , volume=

  37. [37]

    and Movshovich, R

    Bianchi, A. and Movshovich, R. and Capan, C. and Pagliuso, P. G. and Sarrao, J. L. , month = oct, year =. Possible. Physical Review Letters , publisher =. doi:10.1103/PhysRevLett.91.187004 , number =

    work page doi:10.1103/physrevlett.91.187004

  38. [38]

    and Strässle, Th

    Kenzelmann, M. and Strässle, Th. and Niedermayer, C. and Sigrist, M. and Padmanabhan, B. and Zolliker, M. and Bianchi, A. D. and Movshovich, R. and Bauer, E. D. and Sarrao, J. L. and Thompson, J. D. , month = sep, year =. Coupled. Science , publisher =. doi:10.1126/science.1161818 , abstract =

    work page doi:10.1126/science.1161818

  39. [39]

    and Wang, Y

    Lortz, R. and Wang, Y. and Demuer, A. and B. Calorimetric Evidence for a. Physical Review Letters , publisher =. 2007 , pages =. doi:10.1103/PhysRevLett.99.187002 , number =

    work page doi:10.1103/physrevlett.99.187002 2007

  40. [40]

    Annual Review of Condensed Matter Physics , volume=

    The Physics of Pair-Density Waves: Cuprate Superconductors and Beyond , author=. Annual Review of Condensed Matter Physics , volume=. 2020 , publisher=

    2020

  41. [41]

    Physical Review B—Condensed Matter and Materials Physics , volume=

    Theory of the Striped Superconductor , author=. Physical Review B—Condensed Matter and Materials Physics , volume=. 2009 , publisher=

    2009

  42. [42]

    Physical review letters , volume=

    Dynamical Layer Decoupling in a Stripe-Ordered High-T c Superconductor , author=. Physical review letters , volume=. 2007 , publisher=

    2007

  43. [43]

    Physical Review B , volume=

    Pair-Density Waves, Charge-Density Waves, and Vortices in High-T c Cuprates , author=. Physical Review B , volume=. 2018 , publisher=

    2018

  44. [44]

    Nature Physics , volume=

    Dislocations and Vortices in Pair-Density-Wave Superconductors , author=. Nature Physics , volume=. 2008 , publisher=

    2008

  45. [45]

    New Journal of Physics , volume=

    Striped Superconductors: How Spin, Charge and Superconducting Orders Intertwine in the Cuprates , author=. New Journal of Physics , volume=

  46. [46]

    Physical Review X , volume=

    Amperean Pairing and the Pseudogap Phase of Cuprate Superconductors , author=. Physical Review X , volume=. 2014 , publisher=

    2014

  47. [47]

    Science , volume=

    Magnetic Field--Induced Pair Density Wave State in the Cuprate Vortex Halo , author=. Science , volume=. 2019 , publisher=

    2019

  48. [48]

    Nature , volume=

    Detection of a Pair Density Wave State in UTe2 , author=. Nature , volume=. 2023 , publisher=

    2023

  49. [49]

    Magnetic-field-Sensitive Charge Density Waves in the Superconductor

    Aishwarya, Anuva and May-Mann, Julian and Raghavan, Arjun and Nie, Laimei and Romanelli, Marisa and Ran, Sheng and Saha, Shanta R and Paglione, Johnpierre and Butch, Nicholas P and Fradkin, Eduardo and others , journal=. Magnetic-field-Sensitive Charge Density Waves in the Superconductor. 2023 , publisher=

    2023

  50. [50]

    Melting of the Charge Density Wave by Generation of Pairs of Topological Defects in

    Aishwarya, Anuva and May-Mann, Julian and Almoalem, Avior and Ran, Sheng and Saha, Shanta R and Paglione, Johnpierre and Butch, Nicholas P and Fradkin, Eduardo and Madhavan, Vidya , journal=. Melting of the Charge Density Wave by Generation of Pairs of Topological Defects in. 2024 , publisher=

    2024

  51. [51]

    Observation of the

    Singleton, John and Symington, JA and Nam, MS and Ardavan, A and Kurmoo, M and Day, P , journal=. Observation of the

  52. [52]

    Magnetic Field--Temperature Phase Diagram of the Quasi-Two-Dimensional Organic Superconductor -

    Tanatar, MA and Ishiguro, T and Tanaka, H and Kobayashi, H , journal=. Magnetic Field--Temperature Phase Diagram of the Quasi-Two-Dimensional Organic Superconductor -. 2002 , publisher=

    2002

  53. [53]

    Vortex Dynamics and the

    Uji, S and Terashima, T and Nishimura, M and Takahide, Y and Konoike, T and Enomoto, K and Cui, H and Kobayashi, H and Kobayashi, A and Tanaka, H and others , journal=. Vortex Dynamics and the. 2006 , publisher=

    2006

  54. [54]

    Family of Multilayer Graphene Superconductors with Tunable Chirality: Momentum-Space Vortices Nucleated by a Ring of

    Patri, Adarsh S and Franz, Marcel , journal=. Family of Multilayer Graphene Superconductors with Tunable Chirality: Momentum-Space Vortices Nucleated by a Ring of. 2025 , publisher=

    2025

  55. [55]

    Topological Incommensurate

    Yang, Hui and Zhang, Ya-Hui , journal=. Topological Incommensurate. 2025 , publisher=

    2025

  56. [56]

    2026 , month =

    Qin, Qiong and Wu, Congjun , title =. 2026 , month =. doi:10.1088/0256-307X/43/3/030708 , url =

    work page doi:10.1088/0256-307x/43/3/030708 2026

  57. [57]

    arXiv preprint arXiv:2503.15471 , year=

    Finite-Momentum Pairing and Superlattice Superconductivity in Valley-Imbalanced Rhombohedral Graphene , author=. arXiv preprint arXiv:2503.15471 , year=

    arXiv

  58. [58]

    npj Quantum Materials , year=

    May-Mann, Julian and Helbig, Tobias and Devakul, Trithep , title=. npj Quantum Materials , year=. doi:10.1038/s41535-026-00878-4 , url=

    work page doi:10.1038/s41535-026-00878-4

  59. [59]

    Physical Review B , volume=

    Flux-Flow Hall Effect in Superconducting Tl 2 Ba 2 CaCu 2 O 8 films , author=. Physical Review B , volume=. 1991 , publisher=

    1991

  60. [60]

    Nature Reviews Physics , volume=

    The Superconducting Diode effect , author=. Nature Reviews Physics , volume=. 2023 , publisher=

    2023

  61. [61]

    Physical Review B , volume=

    Intrinsic Superconducting Diode Effect and Nonreciprocal Superconductivity in Rhombohedral Graphene Multilayers , author=. Physical Review B , volume=. 2025 , publisher=

    2025

  62. [62]

    Paired States of Fermions in Two Dimensions with Breaking of Parity and Time-Reversal Symmetries and the Fractional Quantum

    Read, Nicholas and Green, Dmitry , journal=. Paired States of Fermions in Two Dimensions with Breaking of Parity and Time-Reversal Symmetries and the Fractional Quantum. 2000 , publisher=

    2000

  63. [63]

    Physical Review B , volume=

    Dephasing of Electrons in Mesoscopic Metal Wires , author=. Physical Review B , volume=. 2003 , publisher=

    2003

  64. [64]

    Topological Chiral Superconductivity Beyond Pairing in a

    Kim, Minho and Timmel, Abigail and Ju, Long and Wen, Xiao-Gang , journal =. Topological Chiral Superconductivity Beyond Pairing in a. 2025 , month =. doi:10.1103/PhysRevB.111.014508 , url =

    work page doi:10.1103/physrevb.111.014508 2025

  65. [65]

    Enhanced

    Jahin, Ammar and Lin, Shi-Zeng , journal =. Enhanced. 2026 , month =. doi:10.1103/gt8h-czf3 , url =

    work page doi:10.1103/gt8h-czf3 2026

  66. [66]

    and Zaborski, Gregory and Finney, Joe and Sharpe, Aaron L

    Pendharkar, Mihir and Tran, Steven J. and Zaborski, Gregory and Finney, Joe and Sharpe, Aaron L. and Kamat, Rupini V. and Kalantre, Sandesh S. and Hocking, Marisa and Bittner, Nathan J. and Watanabe, Kenji and Taniguchi, Takashi and Pittenger, Bede and Newcomb, Christina J. and Kastner, Marc A. and Mannix, Andrew J. and Goldhaber-Gordon, David , month = m...

    work page doi:10.1073/pnas.2314083121

  67. [67]

    Topological Superconductors: a Review , volume =

    Sato, Masatoshi and Ando, Yoichi , month = may, year =. Topological Superconductors: a Review , volume =. Reports on Progress in Physics , publisher =. doi:10.1088/1361-6633/aa6ac7 , abstract =

    work page doi:10.1088/1361-6633/aa6ac7

  68. [68]

    2603.16828 , archivePrefix=

    Chiho Yoon and Fan Zhang , year=. 2603.16828 , archivePrefix=

    arXiv

  69. [69]

    Table of Integrals, Series and Products , author =

  70. [70]

    and Fox, Eli J

    Sharpe, Aaron L. and Fox, Eli J. and Barnard, Arthur W. and Finney, Joe and Watanabe, Kenji and Taniguchi, Takashi and Kastner, M. A. and Goldhaber-Gordon, David , month = aug, year =. Emergent Ferromagnetism Near Three-Quarters Filling in Twisted Bilayer Graphene , volume =. Science , publisher =. doi:10.1126/science.aaw3780 , abstract =

    work page doi:10.1126/science.aaw3780

  71. [71]

    2025 , month =

    Gaggioli, Filippo and Guerci, Daniele and Fu, Liang , journal =. 2025 , month =. doi:10.1103/k8sb-rqxf , url =

    work page doi:10.1103/k8sb-rqxf 2025

  72. [72]

    2025 , eprint=

    Exact Models of Chiral Flat-Band Superconductors , author=. 2025 , eprint=

    2025

  73. [73]

    Li, Ming-Rui and Kwan, Yves H and Yao, Hong and Bernevig, B Andrei , journal=

  74. [74]

    Nature , volume=

    Quantum Textures of the Many-body Wavefunctions in Magic-Angle Graphene , author=. Nature , volume=. 2023 , publisher=

    2023

  75. [75]

    Moir \'e fractional Chern insulators. II. First-principles calculations and continuum models of rhombohedral graphene superlattices. , keywords =. doi:10.1103/PhysRevB.109.205122 , archivePrefix =. 2311.12920 , primaryClass =

    work page doi:10.1103/physrevb.109.205122

  76. [76]

    Nature , volume=

    Imaging Inter-Valley Coherent Order in Magic-Angle Twisted Trilayer Graphene , author=. Nature , volume=. 2023 , publisher=

    2023

  77. [77]

    2021 , publisher=

    Kwan, Yves H and Wagner, Glenn and Soejima, Tomohiro and Zaletel, Michael P and Simon, Steven H and Parameswaran, Siddharth A and Bultinck, Nick , journal=. 2021 , publisher=

    2021

  78. [78]

    Nature Physics , volume=

    Intervalley Coherence and Intrinsic Spin--Orbit Coupling in Rhombohedral Trilayer Graphene , author=. Nature Physics , volume=. 2024 , publisher=

    2024

  79. [79]

    2024 , eprint=

    Visualizing Incommensurate Inter-valley Coherent States in Rhombohedral Trilayer Graphene , author=. 2024 , eprint=

    2024

  80. [80]

    Tonghang Han and Jackson P. Butler and Shenyong Ye and Zhenqi Hua and Surajit Dutta and Zach Hadjri and Zhenghan Wu and Jixiang Yang and Junseok Seo and Phatthanon Pattanakanvijit and Emily Aitken and Kenji Watanabe and Takashi Taniguchi and Peng Xiong and Eli Zeldov and Zhengguang Lu and Raymond Ashoori and Long Ju , year=. 2604.00113 , archivePrefix=

    arXiv

Showing first 80 references.