Band structure and insulating states driven by Coulomb interaction in twisted bilayer graphene

被引:112
作者
Cea, Tommaso [1 ]
Guinea, Francisco [1 ,2 ]
机构
[1] Imdea Nanosci, Faraday 9, Madrid 28015, Spain
[2] Donostia Int Phys Ctr, Paseo Manuel de Lardizabal 4, San Sebastian 20018, Spain
关键词
SUPERCONDUCTIVITY;
D O I
10.1103/PhysRevB.102.045107
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We analyze the phase diagram of twisted graphene bilayers near a magic angle. We consider the effect of the long-range Coulomb interaction, treated within the self-consistent Hartree-Fock approximation, and we study arbitrary band fillings. We find a rich phase diagram, with different broken symmetry phases, although they do not show necessarily a gap at the Fermi energy. There are nontrivial effects of the electrostatic potential on the shape and the gaps of the bands in the broken symmetry phases. The results suggest that the nonsuperconducting broken symmetry phases observed experimentally are induced by the long-range exchange interaction.
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页数:6
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共 51 条
[1]   Particle-Hole Duality, Emergent Fermi Liquids, and Fractional Chern Insulators in Moire Flatbands [J].
Abouelkomsan, Ahmed ;
Liu, Zhao ;
Bergholtz, Emil J. .
PHYSICAL REVIEW LETTERS, 2020, 124 (10)
[2]   Graphene integer quantum Hall effect in the ferromagnetic and paramagnetic regimes [J].
Alicea, Jason ;
Fisher, Matthew P. A. .
PHYSICAL REVIEW B, 2006, 74 (07)
[3]   Moire bands in twisted double-layer graphene [J].
Bistritzer, Rafi ;
MacDonald, Allan H. .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2011, 108 (30) :12233-12237
[4]  
Bultinck N., 2019, ARXIV191102045CONDMA
[5]   Strange Metal in Magic-Angle Graphene with near Planckian Dissipation [J].
Cao, Yuan ;
Chowdhury, Debanjan ;
Rodan-Legrain, Daniel ;
Rubies-Bigorda, Oriol ;
Watanabe, Kenji ;
Taniguchi, Takashi ;
Senthil, T. ;
Jarillo-Herrero, Pablo .
PHYSICAL REVIEW LETTERS, 2020, 124 (07)
[6]   Correlated insulator behaviour at half-filling in magic-angle graphene superlattices [J].
Cao, Yuan ;
Fatemi, Valla ;
Demir, Ahmet ;
Fang, Shiang ;
Tomarken, Spencer L. ;
Luo, Jason Y. ;
Sanchez-Yamagishi, Javier D. ;
Watanabe, Kenji ;
Taniguchi, Takashi ;
Kaxiras, Efthimios ;
Ashoori, Ray C. ;
Jarillo-Herrero, Pablo .
NATURE, 2018, 556 (7699) :80-+
[7]   Unconventional superconductivity in magic-angle graphene superlattices [J].
Cao, Yuan ;
Fatemi, Valla ;
Fang, Shiang ;
Watanabe, Kenji ;
Taniguchi, Takashi ;
Kaxiras, Efthimios ;
Jarillo-Herrero, Pablo .
NATURE, 2018, 556 (7699) :43-+
[8]   Electronic band structure and pinning of Fermi energy to Van Hove singularities in twisted bilayer graphene: A self-consistent approach [J].
Cea, Tommaso ;
Walet, Niels R. ;
Guinea, Francisco .
PHYSICAL REVIEW B, 2019, 100 (20)
[9]   Nematic superconductivity in twisted bilayer graphene [J].
Chichinadze, Dmitry, V ;
Classen, Laura ;
Chubukov, Andrey, V .
PHYSICAL REVIEW B, 2020, 101 (22)
[10]   Graphene bilayer with a twist: Electronic structure [J].
dos Santos, J. M. B. Lopes ;
Peres, N. M. R. ;
Castro Neto, A. H. .
PHYSICAL REVIEW LETTERS, 2007, 99 (25)