Dirac Fermion Cloning, Moiré Flat Bands, and Magic Lattice Constants in Epitaxial Monolayer Graphene

Lu, Qiangsheng; Le, Congcong; Zhang, Xiaoqian; Cook, Jacob; He, Xiaoqing; Zarenia, Mohammad; Vaninger, Mitchel; Miceli, Paul F.; Singh, David J.; Liu, Chang; Qin, Hailang; Chiang, Tai‐Chang; Chiu, Ching‐Kai; Vignale, Giovanni; Bian, Guang

doi:10.1002/adma.202200625

Title: Dirac Fermion Cloning, Moiré Flat Bands, and Magic Lattice Constants in Epitaxial Monolayer Graphene

Journal Article · Thu Apr 21 00:00:00 EDT 2022 · Advanced Materials

DOI:https://doi.org/10.1002/adma.202200625· OSTI ID:1976209

Lu, Qiangsheng ^[1]; Le, Congcong ^[2]; Zhang, Xiaoqian ^[3]; Cook, Jacob ^[1]; He, Xiaoqing ^[1]; Zarenia, Mohammad ^[1]; Vaninger, Mitchel ^[1]; Miceli, Paul F. ^[1]; Singh, David J. ^[1]; Liu, Chang ^[4]; Qin, Hailang ^[4]; Chiang, Tai‐Chang ^[5]; Chiu, Ching‐Kai ^[2]; Vignale, Giovanni ^[1];

^[1]

University of Missouri, Columbia, MO (United States)
RIKEN Interdisciplinary Theoretical and Mathematical Sciences (iTHEMS) Wako (Japan)
University of Missouri, Columbia, MO (United States); Southern University of Science and Technology, Shenzhen (China)
Southern University of Science and Technology, Shenzhen (China)
University of Illinois at Urbana-Champaign, IL (United States). Frederick Seitz Materials Research Laboratory

Tuning interactions between Dirac states in graphene has attracted enormous interest because it can modify the electronic spectrum of the 2D material, enhance electron correlations, and give rise to novel condensed-matter phases such as superconductors, Mott insulators, Wigner crystals, and quantum anomalous Hall insulators. Previous works predominantly focus on the flat band dispersion of coupled Dirac states from different twisted graphene layers. Here in this work, a new route to realizing flat band physics in monolayer graphene under a periodic modulation from substrates is proposed. Graphene/SiC heterostructure is taken as a prototypical example and it is demonstrated experimentally that the substrate modulation leads to Dirac fermion cloning and, consequently, the proximity of the two Dirac cones of monolayer graphene in momentum space. Theoretical modeling captures the cloning mechanism of the Dirac states and indicates that moiré flat bands can emerge at certain magic lattice constants of the substrate, specifically when the period of modulation becomes nearly commensurate with the ($$\sqrt{3}$$ x $$\sqrt{3}$$) R30° supercell of graphene. Our results show that epitaxial single monolayer graphene on suitable substrates is a promising platform for exploring exotic many-body quantum phases arising from interactions between Dirac electrons.

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Research Organization:: Univ. of Missouri, Columbia, MO (United States); Univ. of Illinois at Urbana-Champaign, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE); National Science Foundation (NSF)

Grant/Contract Number:: FG02-05ER46203; FG02-07ER46383; SC0019114; DMR-1809160

OSTI ID:: 1976209

Journal Information:: Advanced Materials, Vol. 34, Issue 26; ISSN 0935-9648

Publisher:: WileyCopyright Statement

Country of Publication:: United States

Language:: English

References (49)

Topological insulators and superconductors Qi, Xiao-Liang; Zhang, Shou-Cheng Reviews of Modern Physics, Vol. 83, Issue 4 https://doi.org/10.1103/RevModPhys.83.1057	journal	October 2011
Origin of Magic Angles in Twisted Bilayer Graphene Tarnopolsky, Grigory; Kruchkov, Alex Jura; Vishwanath, Ashvin Physical Review Letters, Vol. 122, Issue 10 https://doi.org/10.1103/PhysRevLett.122.106405	journal	March 2019
Origin of the $π$ -band replicas in the electronic structure of graphene grown on $4 H$ -SiC(0001) Polley, C. M.; Johansson, L. I.; Fedderwitz, H. Physical Review B, Vol. 99, Issue 11 https://doi.org/10.1103/PhysRevB.99.115404	journal	March 2019
Epitaxial growth of single-domain graphene on hexagonal boron nitride Yang, Wei; Chen, Guorui; Shi, Zhiwen Nature Materials, Vol. 12, Issue 9 https://doi.org/10.1038/nmat3695	journal	July 2013
WKB Estimate of Bilayer Graphene’s Magic Twist Angles Ren, Yafei; Gao, Qiang; MacDonald, A. H. Physical Review Letters, Vol. 126, Issue 1 https://doi.org/10.1103/PhysRevLett.126.016404	journal	January 2021
van der Waals heterostructures combining graphene and hexagonal boron nitride Yankowitz, Matthew; Ma, Qiong; Jarillo-Herrero, Pablo Nature Reviews Physics, Vol. 1, Issue 2 https://doi.org/10.1038/s42254-018-0016-0	journal	January 2019
Electronic structure calculations of twisted multi-layer graphene superlattices Tritsaris, Georgios A.; Carr, Stephen; Zhu, Ziyan 2D Materials, Vol. 7, Issue 3 https://doi.org/10.1088/2053-1583/ab8f62	journal	June 2020
Unconventional superconductivity in magic-angle graphene superlattices Cao, Yuan; Fatemi, Valla; Fang, Shiang Nature, Vol. 556, Issue 7699 https://doi.org/10.1038/nature26160	journal	March 2018
Study on AlN buffer layer for GaN on graphene/copper sheet grown by MBE at low growth temperature Yu, Jiadong; Hao, Zhibiao; Wang, Jian Journal of Alloys and Compounds, Vol. 783 https://doi.org/10.1016/j.jallcom.2019.01.007	journal	April 2019
Intrinsic quantized anomalous Hall effect in a moiré heterostructure Serlin, M.; Tschirhart, C. L.; Polshyn, H. Science, Vol. 367, Issue 6480 https://doi.org/10.1126/science.aay5533	journal	December 2019
Hierarchy of Hofstadter states and replica quantum Hall ferromagnetism in graphene superlattices Yu, G. L.; Gorbachev, R. V.; Tu, J. S. Nature Physics, Vol. 10, Issue 7 https://doi.org/10.1038/nphys2979	journal	June 2014
Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene Sharpe, Aaron L.; Fox, Eli J.; Barnard, Arthur W. Science, Vol. 365, Issue 6453 https://doi.org/10.1126/science.aaw3780	journal	July 2019
Colloquium: Graphene spectroscopy Basov, D. N.; Fogler, M. M.; Lanzara, A. arXiv https://doi.org/10.48550/arxiv.1407.6721	text	January 2014
First direct observation of Dirac fermions in graphite Zhou, S. Y.; Gweon, G. -H.; Graf, J. Nature Physics, Vol. 2, Issue 9 https://doi.org/10.1038/nphys393	journal	August 2006
Cross-sectional imaging of individual layers and buried interfaces of graphene-based heterostructures and superlattices Haigh, S. J.; Gholinia, A.; Jalil, R. Nature Materials, Vol. 11, Issue 9 https://doi.org/10.1038/nmat3386	journal	July 2012
Phonon-Induced Gaps in Graphene and Graphite Observed by Angle-Resolved Photoemission Liu, Y.; Zhang, Longxiang; Brinkley, M. K. Physical Review Letters, Vol. 105, Issue 13 https://doi.org/10.1103/PhysRevLett.105.136804	journal	September 2010
Colloquium : Graphene spectroscopy Basov, D. N.; Fogler, M. M.; Lanzara, A. Reviews of Modern Physics, Vol. 86, Issue 3 https://doi.org/10.1103/RevModPhys.86.959	journal	July 2014
Survey of electronic structure of Bi and Sb thin films by first-principles calculations and photoemission measurements Bian, Guang; Wang, Xiaoxiong; Kowalczyk, Pawel J. Journal of Physics and Chemistry of Solids, Vol. 128 https://doi.org/10.1016/j.jpcs.2017.07.027	journal	May 2019
The electronic properties of graphene Castro Neto, A. H.; Guinea, F.; Peres, N. M. R. Reviews of Modern Physics, Vol. 81, Issue 1, p. 109-162 https://doi.org/10.1103/RevModPhys.81.109	journal	January 2009
Boron nitride substrates for high-quality graphene electronics Dean, C. R.; Young, A. F.; Meric, I. Nature Nanotechnology, Vol. 5, Issue 10, p. 722-726 https://doi.org/10.1038/nnano.2010.172	journal	August 2010
Chiral tunnelling and the Klein paradox in graphene Katsnelson, M. I.; Novoselov, K. S.; Geim, A. K. Nature Physics, Vol. 2, Issue 9 https://doi.org/10.1038/nphys384	journal	August 2006
Electronic structure calculations of twisted multi-layer graphene superlattices A., Tritsaris, Georgios; Stephen, Carr,; Ziyan, Zhu, Materials Cloud https://doi.org/10.24435/materialscloud:2020.0050/v1	dataset	January 2020
Two-dimensional gas of massless Dirac fermions in graphene Novoselov, K. S.; Geim, A. K.; Morozov, S. V. Nature, Vol. 438, Issue 7065, p. 197-200 https://doi.org/10.1038/nature04233	journal	November 2005
Experimental observation of the quantum Hall effect and Berry's phase in graphene Zhang, Yuanbo; Tan, Yan-Wen; Stormer, Horst L. Nature, Vol. 438, Issue 7065, p. 201-204 https://doi.org/10.1038/nature04235	journal	November 2005
Wide Band Gap Semiconductor from a Hidden 2D Incommensurate Graphene Phase Conrad, Matthew; Wang, Feng; Nevius, Meredith Nano Letters, Vol. 17, Issue 1 https://doi.org/10.1021/acs.nanolett.6b04196	journal	December 2016
Vertical field-effect transistor based on graphene–WS2 heterostructures for flexible and transparent electronics Georgiou, Thanasis; Jalil, Rashid; Belle, Branson D. Nature Nanotechnology, Vol. 8, Issue 2 https://doi.org/10.1038/nnano.2012.224	journal	December 2012
Conventional superconductivity in the type-II Dirac semimetal ${PdTe}_{2}$ Das, Shekhar; Sirohi, Anshu Physical Review B, Vol. 97, Issue 1 https://doi.org/10.1103/PhysRevB.97.014523	journal	January 2018
Hofstadter’s butterfly and the fractal quantum Hall effect in moiré superlattices Dean, C. R.; Wang, L.; Maher, P. Nature, Vol. 497, Issue 7451 https://doi.org/10.1038/nature12186	journal	May 2013
Gaps induced by inversion symmetry breaking and second-generation Dirac cones in graphene/hexagonal boron nitride Wang, Eryin; Lu, Xiaobo; Ding, Shijie Nature Physics, Vol. 12, Issue 12 https://doi.org/10.1038/nphys3856	journal	August 2016
Van der Waals heterostructures Geim, A. K.; Grigorieva, I. V. Nature, Vol. 499, Issue 7459, p. 419-425 https://doi.org/10.1038/nature12385	journal	July 2013
Cloning of Dirac fermions in graphene superlattices Ponomarenko, L. A.; Gorbachev, R. V.; Yu, G. L. Nature, Vol. 497, Issue 7451 https://doi.org/10.1038/nature12187	journal	May 2013
Colloquium: Topological insulators Hasan, M. Z.; Kane, C. L. Reviews of Modern Physics, Vol. 82, Issue 4, p. 3045-3067 https://doi.org/10.1103/RevModPhys.82.3045	journal	November 2010
Evidence of flat bands and correlated states in buckled graphene superlattices Mao, Jinhai; Milovanović, Slaviša P.; Anđelković, Miša Nature, Vol. 584, Issue 7820 https://doi.org/10.1038/s41586-020-2567-3	journal	August 2020
Theories for the correlated insulating states and quantum anomalous Hall effect phenomena in twisted bilayer graphene Liu, Jianpeng; Dai, Xi Physical Review B, Vol. 103, Issue 3 https://doi.org/10.1103/PhysRevB.103.035427	journal	January 2021
Moiré minibands in graphene heterostructures with almost commensurate3×3hexagonal crystals Wallbank, J. R.; Mucha-Kruczyński, M.; Fal'ko, V. I. Physical Review B, Vol. 88, Issue 15 https://doi.org/10.1103/PhysRevB.88.155415	journal	October 2013
Magnetic anisotropy in antiferromagnetic hexagonal MnTe Kriegner, D.; Reichlova, H.; Grenzer, J. Physical Review B, Vol. 96, Issue 21 https://doi.org/10.1103/PhysRevB.96.214418	journal	December 2017
Moire bands in twisted double-layer graphene Bistritzer, R.; MacDonald, A. H. Proceedings of the National Academy of Sciences, Vol. 108, Issue 30 https://doi.org/10.1073/pnas.1108174108	journal	July 2011
Correlated insulator behaviour at half-filling in magic-angle graphene superlattices Cao, Yuan; Fatemi, Valla; Demir, Ahmet Nature, Vol. 556, Issue 7699 https://doi.org/10.1038/nature26154	journal	March 2018
Effects of moiré lattice structure on electronic properties of graphene Huang, Lunan; Wu, Yun; Hershberger, M. T. Physical Review B, Vol. 96, Issue 3 https://doi.org/10.1103/PhysRevB.96.035411	journal	July 2017
Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the "Parity Anomaly" Haldane, F. D. M. Physical Review Letters, Vol. 61, Issue 18 https://doi.org/10.1103/PhysRevLett.61.2015	journal	October 1988
Graphene growth on Pt(111) and Au(111) using a MBE carbon solid-source Hernández-Rodríguez, Irene; García, Jorge M.; Martín-Gago, José A. Diamond and Related Materials, Vol. 57 https://doi.org/10.1016/j.diamond.2015.03.004	journal	August 2015
Tunable metal–insulator transition in double-layer graphene heterostructures Ponomarenko, L. A.; Geim, A. K.; Zhukov, A. A. Nature Physics, Vol. 7, Issue 12 https://doi.org/10.1038/nphys2114	journal	October 2011
Direct evidence for efficient ultrafast charge separation in epitaxial WS ₂ /graphene heterostructures Aeschlimann, Sven; Rossi, Antonio; Chávez-Cervantes, Mariana Science Advances, Vol. 6, Issue 20 https://doi.org/10.1126/sciadv.aay0761	journal	May 2020
All Magic Angles in Twisted Bilayer Graphene are Topological Song, Zhida; Wang, Zhijun; Shi, Wujun Physical Review Letters, Vol. 123, Issue 3 https://doi.org/10.1103/PhysRevLett.123.036401	journal	July 2019
Visualizing Electronic Chirality and Berry Phases in Graphene Systems Using Photoemission with Circularly Polarized Light Liu, Y.; Bian, G.; Miller, T. Physical Review Letters, Vol. 107, Issue 16 https://doi.org/10.1103/PhysRevLett.107.166803	journal	October 2011
Superlattice effects in graphene on SiC(0001) and Ir(111) probed by ARPES Rotenberg, Eli; Bostwick, Aaron Synthetic Metals, Vol. 210 https://doi.org/10.1016/j.synthmet.2015.07.030	journal	December 2015
Graphene‐Based Mixed‐Dimensional van der Waals Heterostructures for Advanced Optoelectronics Zhang, Zheng; Lin, Pei; Liao, Qingliang Advanced Materials, Vol. 31, Issue 37 https://doi.org/10.1002/adma.201806411	journal	July 2019
Emergence of superlattice Dirac points in graphene on hexagonal boron nitride Yankowitz, Matthew; Xue, Jiamin; Cormode, Daniel Nature Physics, Vol. 8, Issue 5 https://doi.org/10.1038/nphys2272	journal	March 2012
Proximity-induced giant spin-orbit interaction in epitaxial graphene on a topological insulator Jin, Kyung-Hwan; Jhi, Seung-Hoon Physical Review B, Vol. 87, Issue 7 https://doi.org/10.1103/PhysRevB.87.075442	journal	February 2013

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Title: Dirac Fermion Cloning, Moiré Flat Bands, and Magic Lattice Constants in Epitaxial Monolayer Graphene

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