[{"type":"journal_article","abstract":[{"text":"Multilayer graphene lattices allow for an additional tunability of the band structure by the strong perpendicular electric field. In particular, the emergence of the new multiple Dirac points in ABA stacked trilayer graphene subject to strong transverse electric fields was proposed theoretically and confirmed experimentally. These new Dirac points dubbed “gullies” emerge from the interplay between strong electric field and trigonal warping. In this work, we first characterize the properties of new emergent Dirac points and show that the electric field can be used to tune the distance between gullies in the momentum space. We demonstrate that the band structure has multiple Lifshitz transitions and higher-order singularity of “monkey saddle” type. Following the characterization of the band structure, we consider the spectrum of Landau levels and structure of their wave functions. In the limit of strong electric fields when gullies are well separated in momentum space, they give rise to triply degenerate Landau levels. In the second part of this work, we investigate how degeneracy between three gully Landau levels is lifted in the presence of interactions. Within the Hartree-Fock approximation we show that the symmetry breaking state interpolates between the fully gully polarized state that breaks C3 symmetry at high displacement field and the gully symmetric state when the electric field is decreased. The discontinuous transition between these two states is driven by enhanced intergully tunneling and exchange. We conclude by outlining specific experimental predictions for the existence of such a symmetry-breaking state.","lang":"eng"}],"issue":"24","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"7971","title":"Gully quantum Hall ferromagnetism in biased trilayer graphene","status":"public","intvolume":" 101","oa_version":"Preprint","scopus_import":"1","day":"15","article_processing_charge":"No","publication":"Physical Review B","citation":{"chicago":"Rao, Peng, and Maksym Serbyn. “Gully Quantum Hall Ferromagnetism in Biased Trilayer Graphene.” Physical Review B. American Physical Society, 2020. https://doi.org/10.1103/physrevb.101.245411.","mla":"Rao, Peng, and Maksym Serbyn. “Gully Quantum Hall Ferromagnetism in Biased Trilayer Graphene.” Physical Review B, vol. 101, no. 24, 245411, American Physical Society, 2020, doi:10.1103/physrevb.101.245411.","short":"P. Rao, M. Serbyn, Physical Review B 101 (2020).","ista":"Rao P, Serbyn M. 2020. Gully quantum Hall ferromagnetism in biased trilayer graphene. Physical Review B. 101(24), 245411.","ieee":"P. Rao and M. Serbyn, “Gully quantum Hall ferromagnetism in biased trilayer graphene,” Physical Review B, vol. 101, no. 24. American Physical Society, 2020.","apa":"Rao, P., & Serbyn, M. (2020). Gully quantum Hall ferromagnetism in biased trilayer graphene. Physical Review B. American Physical Society. https://doi.org/10.1103/physrevb.101.245411","ama":"Rao P, Serbyn M. Gully quantum Hall ferromagnetism in biased trilayer graphene. Physical Review B. 2020;101(24). doi:10.1103/physrevb.101.245411"},"article_type":"original","date_published":"2020-06-15T00:00:00Z","article_number":"245411","year":"2020","publication_status":"published","publisher":"American Physical Society","department":[{"_id":"MaSe"}],"author":[{"full_name":"Rao, Peng","id":"47C23AC6-02D0-11E9-BD0E-99399A5D3DEB","orcid":"0000-0003-1250-0021","first_name":"Peng","last_name":"Rao"},{"full_name":"Serbyn, Maksym","orcid":"0000-0002-2399-5827","id":"47809E7E-F248-11E8-B48F-1D18A9856A87","last_name":"Serbyn","first_name":"Maksym"}],"date_updated":"2023-09-05T12:11:37Z","date_created":"2020-06-17T14:52:06Z","volume":101,"month":"06","publication_identifier":{"issn":["2469-9950"],"eissn":["2469-9969"]},"oa":1,"external_id":{"isi":["000538715500010"]},"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2002.05739"}],"isi":1,"quality_controlled":"1","doi":"10.1103/physrevb.101.245411","language":[{"iso":"eng"}]},{"doi":"10.1103/PhysRevLett.121.167601","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1805.01038"}],"external_id":{"isi":["000447307500007"],"arxiv":["1805.01038"]},"oa":1,"isi":1,"quality_controlled":"1","month":"10","author":[{"last_name":"Zibrov","first_name":"Alexander","full_name":"Zibrov, Alexander"},{"full_name":"Peng, Rao","id":"47C23AC6-02D0-11E9-BD0E-99399A5D3DEB","orcid":"0000-0003-1250-0021","first_name":"Rao","last_name":"Peng"},{"last_name":"Kometter","first_name":"Carlos","full_name":"Kometter, Carlos"},{"full_name":"Li, Jia","last_name":"Li","first_name":"Jia"},{"full_name":"Dean, Cory","first_name":"Cory","last_name":"Dean"},{"first_name":"Takashi","last_name":"Taniguchi","full_name":"Taniguchi, Takashi"},{"first_name":"Kenji","last_name":"Watanabe","full_name":"Watanabe, Kenji"},{"orcid":"0000-0002-2399-5827","id":"47809E7E-F248-11E8-B48F-1D18A9856A87","last_name":"Serbyn","first_name":"Maksym","full_name":"Serbyn, Maksym"},{"last_name":"Young","first_name":"Andrea","full_name":"Young, Andrea"}],"date_created":"2018-12-11T11:45:38Z","date_updated":"2023-09-11T13:39:50Z","volume":121,"acknowledgement":"The experimental work at UCSB was funded by the National Science Foundation under Grant No. DMR- 1654186. Work at Columbia was supported by the National Science Foundation under Grant No. DMR- 1507788. K. W. and T. T. acknowledge support from the Elemental Strategy Initiative conducted by the Ministry of Education, Culture, Sports, Science and Technology, Japan, and the Japan Society for the Promotion of Science KAKENHI Grant No. JP15K21722. E. M. S. acknowledges the support of the Elings Fellowship from the California Nanosystems Institute at the University of California, Santa Barbara. A. F. Y. acknowledges the support of the David and Lucile Packard foundation and the Sloan Foundation. Measurements made use of a dilution refrigerator funded through the Major Research Instrumentation program of the U.S. National Science Foundation under Grant No. DMR- 1531389, and the MRL Shared Experimental Facilities, which are supported by the MRSEC Program of the U.S. National Science Foundation under Grant No. DMR- 1720256.","year":"2018","publication_status":"published","publisher":"American Physical Society","department":[{"_id":"MaSe"}],"article_number":"167601","date_published":"2018-10-19T00:00:00Z","publication":"Physical Review Letters","citation":{"ista":"Zibrov A, Rao P, Kometter C, Li J, Dean C, Taniguchi T, Watanabe K, Serbyn M, Young A. 2018. Emergent dirac gullies and gully-symmetry-breaking quantum hall states in ABA trilayer graphene. Physical Review Letters. 121(16), 167601.","ieee":"A. Zibrov et al., “Emergent dirac gullies and gully-symmetry-breaking quantum hall states in ABA trilayer graphene,” Physical Review Letters, vol. 121, no. 16. American Physical Society, 2018.","apa":"Zibrov, A., Rao, P., Kometter, C., Li, J., Dean, C., Taniguchi, T., … Young, A. (2018). Emergent dirac gullies and gully-symmetry-breaking quantum hall states in ABA trilayer graphene. Physical Review Letters. American Physical Society. https://doi.org/10.1103/PhysRevLett.121.167601","ama":"Zibrov A, Rao P, Kometter C, et al. Emergent dirac gullies and gully-symmetry-breaking quantum hall states in ABA trilayer graphene. Physical Review Letters. 2018;121(16). doi:10.1103/PhysRevLett.121.167601","chicago":"Zibrov, Alexander, Peng Rao, Carlos Kometter, Jia Li, Cory Dean, Takashi Taniguchi, Kenji Watanabe, Maksym Serbyn, and Andrea Young. “Emergent Dirac Gullies and Gully-Symmetry-Breaking Quantum Hall States in ABA Trilayer Graphene.” Physical Review Letters. American Physical Society, 2018. https://doi.org/10.1103/PhysRevLett.121.167601.","mla":"Zibrov, Alexander, et al. “Emergent Dirac Gullies and Gully-Symmetry-Breaking Quantum Hall States in ABA Trilayer Graphene.” Physical Review Letters, vol. 121, no. 16, 167601, American Physical Society, 2018, doi:10.1103/PhysRevLett.121.167601.","short":"A. Zibrov, P. Rao, C. Kometter, J. Li, C. Dean, T. Taniguchi, K. Watanabe, M. Serbyn, A. Young, Physical Review Letters 121 (2018)."},"article_type":"original","day":"19","article_processing_charge":"No","scopus_import":"1","oa_version":"Preprint","_id":"289","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","status":"public","title":"Emergent dirac gullies and gully-symmetry-breaking quantum hall states in ABA trilayer graphene","intvolume":" 121","abstract":[{"lang":"eng","text":"We report on quantum capacitance measurements of high quality, graphite- and hexagonal boron nitride encapsulated Bernal stacked trilayer graphene devices. At zero applied magnetic field, we observe a number of electron density- and electrical displacement-tuned features in the electronic compressibility associated with changes in Fermi surface topology. At high displacement field and low density, strong trigonal warping gives rise to emergent Dirac gullies centered near the corners of the hexagonal Brillouin and related by three fold rotation symmetry. At low magnetic fields of B=1.25~T, the gullies manifest as a change in the degeneracy of the Landau levels from two to three. Weak incompressible states are also observed at integer filling within these triplets Landau levels, which a Hartree-Fock analysis indicates are associated with Coulomb-driven nematic phases that spontaneously break rotation symmetry."}],"issue":"16","type":"journal_article"}]