Nearly flat Chern band in periodically strained monolayer and bilayer graphene

Wan, Xiaohan; Sarkar, Siddhartha; Sun, Kai; Lin, Shi-Zeng

doi:10.1103/physrevb.108.125129

Nearly flat Chern band in periodically strained monolayer and bilayer graphene

Journal Article · Wed Sep 20 00:00:00 EDT 2023 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.108.125129· OSTI ID:2439459

Wan, Xiaohan ^[1]; Sarkar, Siddhartha ^[2]; Sun, Kai ^[2]; Lin, Shi-Zeng ^[1]

Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Univ. of Michigan, Ann Arbor, MI (United States)

The flat band is a key ingredient for the realization of interesting quantum states for functionalities. Here, in this paper, we investigate the conditions for the flat band in both monolayer and bilayer graphene under periodic strain. We find topological nearly flat bands with homogeneous distribution of Berry curvature in both systems. The quantum metric of the nearly flat band closely resembles that for Landau levels. For monolayer graphene, the strain field can be regarded as an effective gauge field, while for Bernal-stacked (AB-stacked) bilayer graphene, its role is beyond the description of a gauge field. We also provide an understanding of the origin of the nearly flat band in monolayer graphene in terms of the Jackiw-Rebbi model for Dirac fermions with sign-changing mass. In this paper, we suggest strained graphene as a promising platform for strongly correlated quantum states.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: Gordon and Betty Moore Foundation (GBMF); US Department of the Navy, Office of Naval Research (ONR); USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF)

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 2439459

Alternate ID(s):: OSTI ID: 2001148

Report Number(s):: LA-UR--23-21523

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 12 Vol. 108; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (57)

Gauge fields in graphene Vozmediano, M. A. H.; Katsnelson, M. I.; Guinea, F. Physics Reports, Vol. 496, Issue 4-5 https://doi.org/10.1016/j.physrep.2010.07.003	journal	November 2010
Topological Flat Bands in Strained Graphene: Substrate Engineering and Optical Control Mahmud, Md Tareq; Zhai, Dawei; Sandler, Nancy Nano Letters, Vol. 23, Issue 16 https://doi.org/10.1021/acs.nanolett.3c02513	journal	August 2023
Visualizing Strain-Induced Pseudomagnetic Fields in Graphene through an hBN Magnifying Glass Jiang, Yuhang; Mao, Jinhai; Duan, Junxi Nano Letters, Vol. 17, Issue 5 https://doi.org/10.1021/acs.nanolett.6b05228	journal	April 2017
Strain Modulation of Graphene by Nanoscale Substrate Curvatures: A Molecular View Zhang, Yingjie; Heiranian, Mohammad; Janicek, Blanka Nano Letters, Vol. 18, Issue 3 https://doi.org/10.1021/acs.nanolett.8b00273	journal	February 2018
Doped Twisted Bilayer Graphene near Magic Angles: Proximity to Wigner Crystallization, Not Mott Insulation Padhi, Bikash; Setty, Chandan; Phillips, Philip W. Nano Letters, Vol. 18, Issue 10 https://doi.org/10.1021/acs.nanolett.8b02033	journal	September 2018
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
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
Correlated electronic phases in twisted bilayer transition metal dichalcogenides Wang, Lei; Shih, En-Min; Ghiotto, Augusto Nature Materials, Vol. 19, Issue 8 https://doi.org/10.1038/s41563-020-0708-6	journal	June 2020
Large linear-in-temperature resistivity in twisted bilayer graphene Polshyn, Hryhoriy; Yankowitz, Matthew; Chen, Shaowen Nature Physics, Vol. 15, Issue 10 https://doi.org/10.1038/s41567-019-0596-3	journal	August 2019
Electronic correlations in twisted bilayer graphene near the magic angle Choi, Youngjoon; Kemmer, Jeannette; Peng, Yang Nature Physics, Vol. 15, Issue 11 https://doi.org/10.1038/s41567-019-0606-5	journal	August 2019
Symmetry breaking in twisted double bilayer graphene He, Minhao; Li, Yuhao; Cai, Jiaqi Nature Physics, Vol. 17, Issue 1 https://doi.org/10.1038/s41567-020-1030-6	journal	September 2020
Spectroscopic signatures of many-body correlations in magic-angle twisted bilayer graphene Xie, Yonglong; Lian, Biao; Jäck, Berthold Nature, Vol. 572, Issue 7767 https://doi.org/10.1038/s41586-019-1422-x	journal	July 2019
Maximized electron interactions at the magic angle in twisted bilayer graphene Kerelsky, Alexander; McGilly, Leo J.; Kennes, Dante M. Nature, Vol. 572, Issue 7767 https://doi.org/10.1038/s41586-019-1431-9	journal	July 2019
Charge order and broken rotational symmetry in magic-angle twisted bilayer graphene Jiang, Yuhang; Lai, Xinyuan; Watanabe, Kenji Nature, Vol. 573, Issue 7772 https://doi.org/10.1038/s41586-019-1460-4	journal	July 2019
Superconductors, orbital magnets and correlated states in magic-angle bilayer graphene Lu, Xiaobo; Stepanov, Petr; Yang, Wei Nature, Vol. 574, Issue 7780 https://doi.org/10.1038/s41586-019-1695-0	journal	October 2019
Mott and generalized Wigner crystal states in WSe2/WS2 moiré superlattices Regan, Emma C.; Wang, Danqing; Jin, Chenhao Nature, Vol. 579, Issue 7799 https://doi.org/10.1038/s41586-020-2092-4	journal	March 2020
Cascade of electronic transitions in magic-angle twisted bilayer graphene Wong, Dillon; Nuckolls, Kevin P.; Oh, Myungchul Nature, Vol. 582, Issue 7811 https://doi.org/10.1038/s41586-020-2339-0	journal	June 2020
Cascade of phase transitions and Dirac revivals in magic-angle graphene Zondiner, U.; Rozen, A.; Rodan-Legrain, D. Nature, Vol. 582, Issue 7811 https://doi.org/10.1038/s41586-020-2373-y	journal	June 2020
Tunable spin-polarized correlated states in twisted double bilayer graphene Liu, Xiaomeng; Hao, Zeyu; Khalaf, Eslam Nature, Vol. 583, Issue 7815 https://doi.org/10.1038/s41586-020-2458-7	journal	July 2020
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
Correlated insulating states at fractional fillings of moiré superlattices Xu, Yang; Liu, Song; Rhodes, Daniel A. Nature, Vol. 587, Issue 7833 https://doi.org/10.1038/s41586-020-2868-6	journal	November 2020
Strongly correlated Chern insulators in magic-angle twisted bilayer graphene Nuckolls, Kevin P.; Oh, Myungchul; Wong, Dillon Nature, Vol. 588, Issue 7839 https://doi.org/10.1038/s41586-020-3028-8	journal	December 2020
Fractional Chern insulators in magic-angle twisted bilayer graphene Xie, Yonglong; Pierce, Andrew T.; Park, Jeong Min Nature, Vol. 600, Issue 7889 https://doi.org/10.1038/s41586-021-04002-3	journal	December 2021
Catalogue of flat-band stoichiometric materials Regnault, Nicolas; Xu, Yuanfeng; Li, Ming-Rui Nature, Vol. 603, Issue 7903 https://doi.org/10.1038/s41586-022-04519-1	journal	March 2022
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
Ground state of a spin-½ charged particle in a two-dimensional magnetic field Aharonov, Y.; Casher, A. Physical Review A, Vol. 19, Issue 6 https://doi.org/10.1103/PhysRevA.19.2461	journal	June 1979
Excitonic Laughlin states in ideal topological insulator flat bands and their possible presence in moiré superlattice materials Stefanidis, Nikolaos; Sodemann, Inti Physical Review B, Vol. 102, Issue 3 https://doi.org/10.1103/PhysRevB.102.035158	journal	July 2020
Band flattening in buckled monolayer graphene Milovanović, S. P.; Anđelković, M.; Covaci, L. Physical Review B, Vol. 102, Issue 24 https://doi.org/10.1103/PhysRevB.102.245427	journal	December 2020
Generalized Wigner crystallization in moiré materials Padhi, Bikash; Chitra, R.; Phillips, Philip W. Physical Review B, Vol. 103, Issue 12 https://doi.org/10.1103/PhysRevB.103.125146	journal	March 2021
Moiré superlattice on the surface of a topological insulator Cano, Jennifer; Fang, Shiang; Pixley, J. H. Physical Review B, Vol. 103, Issue 15 https://doi.org/10.1103/PhysRevB.103.155157	journal	April 2021
Phonons and electron-phonon scattering in carbon nanotubes Suzuura, Hidekatsu; Ando, Tsuneya Physical Review B, Vol. 65, Issue 23 https://doi.org/10.1103/PhysRevB.65.235412	journal	May 2002
Strain-induced one-dimensional Landau level quantization in corrugated graphene Meng, Lan; He, Wen-Yu; Zheng, Hong Physical Review B, Vol. 87, Issue 20 https://doi.org/10.1103/PhysRevB.87.205405	journal	May 2013
Pressure-induced metal-insulator transition in twisted bilayer graphene Padhi, Bikash; Phillips, Philip W. Physical Review B, Vol. 99, Issue 20 https://doi.org/10.1103/PhysRevB.99.205141	journal	May 2019
Solitons with fermion number ½ Jackiw, R.; Rebbi, C. Physical Review D, Vol. 13, Issue 12 https://doi.org/10.1103/PhysRevD.13.3398	journal	June 1976
High-Temperature Fractional Quantum Hall States Tang, Evelyn; Mei, Jia-Wei; Wen, Xiao-Gang Physical Review Letters, Vol. 106, Issue 23 https://doi.org/10.1103/PhysRevLett.106.236802	journal	June 2011
Nearly Flatbands with Nontrivial Topology Sun, Kai; Gu, Zhengcheng; Katsura, Hosho Physical Review Letters, Vol. 106, Issue 23 https://doi.org/10.1103/PhysRevLett.106.236803	journal	June 2011
Fractional Quantum Hall States at Zero Magnetic Field Neupert, Titus; Santos, Luiz; Chamon, Claudio Physical Review Letters, Vol. 106, Issue 23 https://doi.org/10.1103/PhysRevLett.106.236804	journal	June 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
Collective Excitations of Quantum Anomalous Hall Ferromagnets in Twisted Bilayer Graphene Wu, Fengcheng; Das Sarma, Sankar Physical Review Letters, Vol. 124, Issue 4 https://doi.org/10.1103/PhysRevLett.124.046403	journal	January 2020
Strange Metal in Magic-Angle Graphene with near Planckian Dissipation Cao, Yuan; Chowdhury, Debanjan; Rodan-Legrain, Daniel Physical Review Letters, Vol. 124, Issue 7 https://doi.org/10.1103/PhysRevLett.124.076801	journal	February 2020
Nature of the Correlated Insulator States in Twisted Bilayer Graphene Xie, Ming; MacDonald, A. H. Physical Review Letters, Vol. 124, Issue 9 https://doi.org/10.1103/PhysRevLett.124.097601	journal	March 2020
Mechanism for Anomalous Hall Ferromagnetism in Twisted Bilayer Graphene Bultinck, Nick; Chatterjee, Shubhayu; Zaletel, Michael P. Physical Review Letters, Vol. 124, Issue 16 https://doi.org/10.1103/PhysRevLett.124.166601	journal	April 2020
Current-Induced Reversal of Anomalous Hall Conductance in Twisted Bilayer Graphene Su, Ying; Lin, Shi-Zeng Physical Review Letters, Vol. 125, Issue 22 https://doi.org/10.1103/PhysRevLett.125.226401	journal	November 2020
Gate-Tunable Fractional Chern Insulators in Twisted Double Bilayer Graphene Liu, Zhao; Abouelkomsan, Ahmed; Bergholtz, Emil J. Physical Review Letters, Vol. 126, Issue 2 https://doi.org/10.1103/PhysRevLett.126.026801	journal	January 2021
Boundary Modes from Periodic Magnetic and Pseudomagnetic Fields in Graphene Phong, Võ Tiến; Mele, E. J. Physical Review Letters, Vol. 128, Issue 17 https://doi.org/10.1103/PhysRevLett.128.176406	journal	April 2022
Topological and Stacked Flat Bands in Bilayer Graphene with a Superlattice Potential Ghorashi, Sayed Ali Akbar; Dunbrack, Aaron; Abouelkomsan, Ahmed Physical Review Letters, Vol. 130, Issue 19 https://doi.org/10.1103/PhysRevLett.130.196201	journal	May 2023
Topological Exact Flat Bands in Two-Dimensional Materials under Periodic Strain Wan, Xiaohan; Sarkar, Siddhartha; Lin, Shi-Zeng Physical Review Letters, Vol. 130, Issue 21 https://doi.org/10.1103/PhysRevLett.130.216401	journal	May 2023
Untwisting Moiré Physics: Almost Ideal Bands and Fractional Chern Insulators in Periodically Strained Monolayer Graphene Gao, Qiang; Dong, Junkai; Ledwith, Patrick Physical Review Letters, Vol. 131, Issue 9 https://doi.org/10.1103/PhysRevLett.131.096401	journal	August 2023
Two theorems on the Hubbard model Lieb, Elliott H. Physical Review Letters, Vol. 62, Issue 10 https://doi.org/10.1103/PhysRevLett.62.1201	journal	March 1989
Fractional Chern insulator states in twisted bilayer graphene: An analytical approach Ledwith, Patrick J.; Tarnopolsky, Grigory; Khalaf, Eslam Physical Review Research, Vol. 2, Issue 2 https://doi.org/10.1103/PhysRevResearch.2.023237	journal	May 2020
Chern bands of twisted bilayer graphene: Fractional Chern insulators and spin phase transition Repellin, Cécile; Senthil, T. Physical Review Research, Vol. 2, Issue 2 https://doi.org/10.1103/PhysRevResearch.2.023238	journal	May 2020
Flat bands with fragile topology through superlattice engineering on single-layer graphene Skurativska, Anastasiia; Tsirkin, Stepan S.; Natterer, Fabian D. Physical Review Research, Vol. 3, Issue 3 https://doi.org/10.1103/PhysRevResearch.3.L032003	journal	July 2021
Spontaneous fractional Chern insulators in transition metal dichalcogenide moiré superlattices Li, Heqiu; Kumar, Umesh; Sun, Kai Physical Review Research, Vol. 3, Issue 3 https://doi.org/10.1103/PhysRevResearch.3.L032070	journal	September 2021
Moiré Surface States and Enhanced Superconductivity in Topological Insulators Wang, Taige; Yuan, Noah F. Q.; Fu, Liang Physical Review X, Vol. 11, Issue 2 https://doi.org/10.1103/PhysRevX.11.021024	journal	April 2021
Extremely flat band in bilayer graphene Marchenko, D.; Evtushinsky, D. V.; Golias, E. Science Advances, Vol. 4, Issue 11 https://doi.org/10.1126/sciadv.aau0059	journal	November 2018
Strain-Induced Pseudo-Magnetic Fields Greater Than 300 Tesla in Graphene Nanobubbles Levy, N.; Burke, S. A.; Meaker, K. L. Science, Vol. 329, Issue 5991 https://doi.org/10.1126/science.1191700	journal	July 2010
Tuning superconductivity in twisted bilayer graphene Yankowitz, Matthew; Chen, Shaowen; Polshyn, Hryhoriy Science, Vol. 363, Issue 6431 https://doi.org/10.1126/science.aav1910	journal	January 2019

Similar Records

Fractional Chern insulators in magic-angle twisted bilayer graphene

Journal Article · Tue Dec 14 19:00:00 EST 2021 · Nature (London) · OSTI ID:1904548

Electric-field-tunable band gap in commensurate twisted bilayer graphene

Journal Article · Mon Jan 23 19:00:00 EST 2023 · Physical Review. B · OSTI ID:2419285

Local Berry Phase Signatures of Bilayer Graphene in Intervalley Quantum Interference

Journal Article · Wed Sep 09 20:00:00 EDT 2020 · Physical Review Letters · OSTI ID:1735905

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
Material Science

Nearly flat Chern band in periodically strained monolayer and bilayer graphene

Citation Formats

References (57)

Similar Records

Related Subjects