Visualizing interactiondriven restructuring of quantum Hall edge states
Halperin, B. I. Quantized Hall conductance, current-carrying edge states, and the existence of extended states in a two-dimensional disordered potential. Phys. Rev. B 25, 2185–2190 (1982).
Google Scholar
Hatsugai, Y. Chern number and edge states in the integer quantum Hall effect. Phys. Rev. Lett. 71, 3697–3700 (1993).
Google Scholar
Yacoby, A., Hess, H. F., Fulton, T. A., Pfeiffer, L. N. & West, K. W. Electrical imaging of the quantum Hall state. Solid State Commun. 111, 1–13 (1999).
Google Scholar
Paradiso, N. et al. Imaging fractional incompressible stripes in integer quantum Hall systems. Phys. Rev. Lett. 108, 246801 (2012).
Google Scholar
Pascher, N. et al. Imaging the conductance of integer and fractional quantum Hall edge states. Phys. Rev. X 4, 011014 (2014).
Suddards, M. E., Baumgartner, A., Henini, M. & Mellor, C. J. Scanning capacitance imaging of compressible and incompressible quantum Hall effect edge strips. New J. Phys. 14, 083015 (2012).
Google Scholar
Cui, Y.-T. et al. Unconventional correlation between quantum Hall transport quantization and bulk state filling in gated graphene devices. Phys. Rev. Lett. 117, 186601 (2016).
Google Scholar
Uri, A. et al. Nanoscale imaging of equilibrium quantum Hall edge currents and of the magnetic monopole response in graphene. Nat. Phys. 16, 164–170 (2020).
Google Scholar
Li, G., Luican-Mayer, A., Abanin, D., Levitov, L. & Andrei, E. Y. Evolution of Landau levels into edge states in graphene. Nat. Commun. 4, 1744 (2013).
Google Scholar
Coissard, A. et al. Absence of edge reconstruction for quantum Hall edge channels in graphene devices. Sci. Adv. 9, eadf7220 (2023).
Google Scholar
Johnsen, T. et al. Mapping quantum Hall edge states in graphene by scanning tunneling microscopy. Phys. Rev. B 107, 115426 (2023).
Google Scholar
Randeria, M. T. et al. Interacting multi-channel topological boundary modes in a quantum Hall valley system. Nature 566, 363–367 (2019).
Google Scholar
Kim, S. et al. Edge channels of broken-symmetry quantum Hall states in graphene visualized by atomic force microscopy. Nat. Commun. 12, 2852 (2021).
Google Scholar
Chklovskii, D. B., Shklovskii, B. I. & Glazman, L. I. Electrostatics of edge channels. Phys. Rev. B 46, 4026–4034 (1992).
Google Scholar
Chamon, C. D. C. & Wen, X. G. Sharp and smooth boundaries of quantum Hall liquids. Phys. Rev. B 49, 8227–8241 (1994).
Google Scholar
Dempsey, J., Gelfand, B. Y. & Halperin, B. I. Electron-electron interactions and spontaneous spin polarization in quantum Hall edge states. Phys. Rev. Lett. 70, 3639–3642 (1993).
Google Scholar
Karlhede, A., Kivelson, S. A., Lejnell, K. & Sondhi, S. L. Textured edges in quantum Hall systems. Phys. Rev. Lett. 77, 2061–2064 (1996).
Google Scholar
Zhang, Y. & Yang, K. Edge spin excitations and reconstructions of integer quantum Hall liquids. Phys. Rev. B 87, 125140 (2013).
Google Scholar
Khanna, U., Goldstein, M. & Gefen, Y. Fractional edge reconstruction in integer quantum Hall phases. Phys. Rev. B 103, L121302 (2021).
Google Scholar
Meir, Y. Composite edge states in the ν=2/3 fractional quantum Hall regime. Phys. Rev. Lett. 72, 2624–2627 (1994).
Google Scholar
Kane, C. L., Fisher, M. P. A. & Polchinski, J. Randomness at the edge: theory of quantum Hall transport at filling ν=2/3. Phys. Rev. Lett. 72, 4129–4132 (1994).
Google Scholar
Wan, X., Yang, K. & Rezayi, E. H. Reconstruction of fractional quantum Hall edges. Phys. Rev. Lett. 88, 056802 (2002).
Google Scholar
Sabo, R. et al. Edge reconstruction in fractional quantum Hall states. Nat. Phys. 13, 491–496 (2017).
Google Scholar
Bid, A. et al. Observation of neutral modes in the fractional quantum Hall regime. Nature 466, 585–590 (2010).
Google Scholar
Venkatachalam, V., Hart, S., Pfeiffer, L., West, K. & Yacoby, A. Local thermometry of neutral modes on the quantum Hall edge. Nat. Phys. 8, 676–681 (2012).
Google Scholar
Liu, X. et al. Visualizing broken symmetry and topological defects in a quantum Hall ferromagnet. Science 375, 321–326 (2022).
Google Scholar
Farahi, G. et al. Broken symmetries and excitation spectra of interacting electrons in partially filled Landau levels. Nat. Phys. 19, 1482–1488 (2023).
Google Scholar
Hu, Y. et al. High-resolution tunnelling spectroscopy of fractional quantum Hall states. Nat. Phys. 21, 716–723 (2025).
Tsui, Y.-C. et al. Direct observation of a magnetic-field-induced Wigner crystal. Nature 628, 287–292 (2024).
Google Scholar
Coissard, A. et al. Imaging tunable quantum Hall broken-symmetry orders in graphene. Nature 605, 51–56 (2022).
Google Scholar
Young, A. F. et al. Spin and valley quantum Hall ferromagnetism in graphene. Nat. Phys. 8, 550–556 (2012).
Google Scholar
Kharitonov, M. Edge excitations of the canted antiferromagnetic phase of the ν = 0 quantum Hall state in graphene: a simplified analysis. Phys. Rev. B 86, 075450 (2012).
Google Scholar
Young, A. F. et al. Tunable symmetry breaking and helical edge transport in a graphene quantum spin Hall state. Nature 505, 528–532 (2014).
Google Scholar
Knothe, A. & Jolicoeur, T. Edge structure of graphene monolayers in the ν = 0 quantum Hall state. Phys. Rev. B 92, 165110 (2015).
Google Scholar
Nakamura, J., Liang, S., Gardner, G. C. & Manfra, M. J. Direct observation of anyonic braiding statistics. Nat. Phys. 16, 931–936 (2020).
Google Scholar
Werkmeister, T. et al. Anyon braiding and telegraph noise in a graphene interferometer. Science 388, 730–735 (2025).
Google Scholar
Samuelson, N. L. et al. Anyonic statistics and slow quasiparticle dynamics in a graphene fractional quantum Hall interferometer. Preprint at https://arxiv.org/abs/2403.19628(2024).
Kundu, H. K., Biswas, S., Ofek, N., Umansky, V. & Heiblum, M. Anyonic interference and braiding phase in a Mach-Zehnder interferometer. Nat. Phys. 19, 515–521 (2023).
Google Scholar
Veillon, A. et al. Observation of the scaling dimension of fractional quantum Hall anyons. Nature 632, 517–521 (2024).
Google Scholar
Ruelle, M. et al. Time-domain braiding of anyons. Science 389, eadm7695 (2025).
Chiu, C.-L. et al. High spatial resolution charge sensing of quantum Hall states. Proc. Natl Acad. Sci. USA 122, e2424781122 (2025).
Google Scholar
Yang, W. et al. Evidence for correlated electron pairs and triplets in quantum Hall interferometers. Nat. Commun. 15, 10064 (2024).
Google Scholar
Werkmeister, T. et al. Strongly coupled edge states in a graphene quantum Hall interferometer. Nat. Commun. 15, 6533 (2024).
Wen, X. G. Chiral Luttinger liquid and the edge excitations in the fractional quantum Hall states. Phys. Rev. B 41, 12838–12844 (1990).
Google Scholar
Chang, A. M. Chiral Luttinger liquids at the fractional quantum Hall edge. Rev. Mod. Phys. 75, 1449–1505 (2003).
Google Scholar
Grayson, M., Tsui, D. C., Pfeiffer, L. N., West, K. W. & Chang, A. M. Resonant tunneling into a biased fractional quantum Hall edge. Phys. Rev. Lett. 86, 2645–2648 (2001).
Google Scholar
Cohen, L. A. et al. Universal chiral Luttinger liquid behavior in a graphene fractional quantum Hall point contact. Science 382, 542–547 (2023).
Google Scholar
Assouline, A. et al. Emission and coherent control of Levitons in graphene. Science 382, 1260–1264 (2023).
Google Scholar
Zibrov, A. A. et al. Tunable interacting composite fermion phases in a half-filled bilayer-graphene Landau level. Nature 549, 360–364 (2017).
Google Scholar
Spanton, E. M. et al. Observation of fractional Chern insulators in a van der Waals heterostructure. Science 360, 62–66 (2018).
Google Scholar
Cai, J. et al. Signatures of fractional quantum anomalous Hall states in twisted MoTe2. Nature 622, 63–68 (2023).
Google Scholar
Zeng, Y. et al. Thermodynamic evidence of fractional Chern insulator in moiré MoTe2. Nature 622, 69–73 (2023).
Google Scholar
Lu, Z. et al. Fractional quantum anomalous Hall effect in multilayer graphene. Nature 626, 759–764 (2024).
Google Scholar
Li, H. et al. Electrode-free anodic oxidation nanolithography of low-dimensional materials. Nano Lett. 18, 8011–8015 (2018).
Google Scholar
Cohen, L. A. et al. Nanoscale electrostatic control in ultraclean van der Waals heterostructures by local anodic oxidation of graphite gates. Nat. Phys. 19, 1502–1508 (2023).
Google Scholar
Li, G., Luican, A. & Andrei, E. Y. Self-navigation of a scanning tunneling microscope tip toward a micron-sized graphene sample. Rev. Sci. Instrum. 82, 073701 (2011).
Google Scholar
نشر لأول مرة على: www.nature.com
تاريخ النشر: 2025-12-17 02:00:00
الكاتب: Jiachen Yu
تنويه من موقع “yalebnan.org”:
تم جلب هذا المحتوى بشكل آلي من المصدر:
www.nature.com
بتاريخ: 2025-12-17 02:00:00.
الآراء والمعلومات الواردة في هذا المقال لا تعبر بالضرورة عن رأي موقع “yalebnan.org”، والمسؤولية الكاملة تقع على عاتق المصدر الأصلي.
ملاحظة: قد يتم استخدام الترجمة الآلية في بعض الأحيان لتوفير هذا المحتوى.




