Fractional quantum Hall coexistence phases in higher Landau levels of graphene

Jincheng An; Ajit C. Balram; Udit Khanna; Ganpathy Murthy

doi:10.1103/PhysRevB.111.045110

Fractional quantum Hall coexistence phases in higher Landau levels of graphene

Jincheng An
, Ajit C. Balram
, Udit Khanna
, Ganpathy Murthy

Producción científica: Article › revisión exhaustiva

6 Citas (Scopus)

Resumen

Monolayer graphene under a strong magnetic field near charge neutrality manifests the integer and fractional quantum Hall effects. Since only some of the four spin/valley flavors available to the electrons in each Landau level manifold are filled, they also exhibit spontaneous symmetry breaking in the spin/valley sector, a phenomenon known as quantum Hall ferromagnetism. In this work, we study quantum Hall ferromagnets in the higher Landau level manifolds of monolayer graphene and show that there is an even richer set of symmetry-broken phases than in the lowest Landau level manifold. Specifically, both valley polarized and valley equatorial (where the occupied Landau levels are in an equal superposition of both valleys) ferromagnets, antiferromagnets, and canted antiferromagnets are found. Several types of spin valley entangled phases are found, all of which manifest the simultaneous spontaneous symmetry breaking of both magnetic and lattice symmetries.

Idioma original	English
Número de artículo	045110
Publicación	Physical Review B
Volumen	111
N.º	4
DOI	https://doi.org/10.1103/PhysRevB.111.045110
Estado	Published - ene 15 2025

Nota bibliográfica

Publisher Copyright:
© 2025 American Physical Society.

Financiación

G.M., A.C.B., and U.K. are grateful to the International Centre for Theoretical Sciences (ICTS) for supporting the program - Condensed Matter meets Quantum Information (code: ICTS/COMQUI2023/9), where parts of this project were conceived. G.M. is also grateful to ICTS for its hospitality in summer 2024 when this work was being completed, and to the VAJRA scheme of SERB, Government of India, for its support under grant number VJR/2017/000114. A.C.B. acknowledges the ICTS for partly supporting this research via the program - Engineered 2D Quantum Materials (code: ICTS/E2QM2024/07). U.K. is supported by the Resnick fellowship from the Bar-Ilan University, Israel, and by a fellowship from the Israel Science Foundation (ISF) Grant No. 993/19. J.A. is supported by the U.S. Department of Energy, Office of Science, Office of Basic Energy Sciences under Award No. DE-SC-0024346. J.A. is grateful to the University of Kentucky Center for Computational Sciences and Information Technology Services Research Computing for using the Morgan Compute Cluster. Some computational portions of this work were undertaken on the Nandadevi and Kamet supercomputers, maintained and supported by the Institute of Mathematical Science's High-Performance Computing Center. Exact diagonalization calculations to ascertain the pair amplitudes in the variational wave functions were performed using the DiagHam libraries . A.C.B. thanks the Science and Engineering Research Board (SERB) of the Department of Science and Technology (DST) for funding support via the Mathematical Research Impact Centric Support (MATRICS) Grant No. MTR/2023/000002. G.M., A.C.B., and U.K. are grateful to the International Centre for Theoretical Sciences (ICTS) for supporting the program - Condensed Matter meets Quantum Information (code: ICTS/COMQUI2023/9), where parts of this project were conceived. G.M. is also grateful to ICTS for its hospitality in summer 2024 when this work was being completed, and to the VAJRA scheme of SERB, Government of India, for its support under grant number VJR/2017/000114. A.C.B. acknowledges the ICTS for partly supporting this research via the program - Engineered 2D Quantum Materials (code: ICTS/E2QM2024/07). U.K. is supported by the Resnick fellowship from the Bar-Ilan University, Israel, and by a fellowship from the Israel Science Foundation (ISF) Grant No. 993/19. J.A. is supported by the U.S. Department of Energy, Office of Science, Office of Basic Energy Sciences under Award No. DE-SC-0024346. J.A. is grateful to the University of Kentucky Center for Computational Sciences and Information Technology Services Research Computing for using the Morgan Compute Cluster. Some computational portions of this work were undertaken on the Nandadevi and Kamet supercomputers, maintained and supported by the Institute of Mathematical Science's High-Performance Computing Center. Exact diagonalization calculations to ascertain the pair amplitudes in the variational wave functions were performed using the DiagHam libraries [93]. A.C.B. thanks the Science and Engineering Research Board (SERB) of the Department of Science and Technology (DST) for funding support via the Mathematical Research Impact Centric Support (MATRICS) Grant No. MTR/2023/000002.

Financiadores	Número del financiador
Bar-Ilan University, Israel
Science and Engineering Research Board
Institute of Mathematical Sciences India
U.S. Department of Energy EPSCoR
Office of Science Programs
Kentucky Transportation Center, University of Kentucky
International Centre for Theoretical Sciences	VJR/2017/000114, ICTS/COMQUI2023/9, ICTS/E2QM2024/07
US-Israel Binational Science Foundation	993/19
DOE Basic Energy Sciences	DE-SC-0024346
Department of Science and Technology, Ministry of Science and Technology, India	MTR/2023/000002

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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Fractional quantum Hall coexistence phases in higher Landau levels of graphene

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