scholarly journals Correlations and electronic order in a two-orbital honeycomb lattice model for twisted bilayer graphene

2018 ◽  
Vol 98 (24) ◽  
Author(s):  
Jörn W. F. Venderbos ◽  
Rafael M. Fernandes
Keyword(s):  
Lattice Model ◽  
Bilayer Graphene ◽  
Honeycomb Lattice ◽  
Twisted Bilayer Graphene ◽  
Electronic Order

scholarly journals Realization of topological Mott insulator in a twisted bilayer graphene lattice model

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Bin-Bin Chen ◽  
Yuan Da Liao ◽  
Ziyu Chen ◽  
Oskar Vafek ◽  
Jian Kang ◽  
...  
Keyword(s):  
Lattice Model ◽  
Large Scale ◽  
Mott Insulator ◽  
Bilayer Graphene ◽  
Magic Angle ◽  
Coulomb Interactions ◽  
Stripe Phase ◽  
Density Matrix Renormalization ◽  
Correlated Electron ◽  
Twisted Bilayer Graphene

AbstractMagic-angle twisted bilayer graphene has recently become a thriving material platform realizing correlated electron phenomena taking place within its topological flat bands. Several numerical and analytical methods have been applied to understand the correlated phases therein, revealing some similarity with the quantum Hall physics. In this work, we provide a Mott-Hubbard perspective for the TBG system. Employing the large-scale density matrix renormalization group on the lattice model containing the projected Coulomb interactions only, we identify a first-order quantum phase transition between the insulating stripe phase and the quantum anomalous Hall state with the Chern number of ±1. Our results not only shed light on the mechanism of the quantum anomalous Hall state discovered at three-quarters filling, but also provide an example of the topological Mott insulator, i.e., the quantum anomalous Hall state in the strong coupling limit.

scholarly journals Triangular antiferromagnetism on the honeycomb lattice of twisted bilayer graphene

2018 ◽  
Vol 98 (7) ◽  
Author(s):  
Alex Thomson ◽  
Shubhayu Chatterjee ◽  
Subir Sachdev ◽  
Mathias S. Scheurer
Keyword(s):  
Bilayer Graphene ◽  
Honeycomb Lattice ◽  
Twisted Bilayer Graphene

Ground state superconducting pair correlations in twisted bilayer graphene

2019 ◽  
Vol 34 (01) ◽  
pp. 2050016 ◽  
Author(s):  
Lufeng Zhang ◽  
Tongyun Huang ◽  
Ying Liang ◽  
Tianxing Ma
Keyword(s):  
Ground State ◽  
Quantum Monte Carlo ◽  
Bilayer Graphene ◽  
Pairing Symmetry ◽  
Honeycomb Lattice ◽  
Magic Angle ◽  
Pairing Interaction ◽  
Twisted Bilayer Graphene ◽  
Effective Pairing Interaction ◽  
Effective Pairing

Motivated by the recent novel electronic features extracted from the magic-angle graphene superlattices, we studied the ground state superconducting pairing correlations within the Hubbard model on a twisted bilayer honeycomb lattice. Using Constrained-Path Quantum Monte Carlo method, we found that the [Formula: see text] pairing correlation dominates over other pairing patterns among various electron fillings and interaction strengths, and the effective pairing interaction was enhanced as the on-site Coulomb interaction increased. We further examined the effect of the nearest neighbor interaction [Formula: see text], and the effective pairing interaction with [Formula: see text] pairing symmetry was also enhanced by either a repulsive or attractive interaction. Our intensive numerical results confirm the interaction driven superconductivity with a dominant [Formula: see text] pairing symmetry in twisted bilayer graphene.

scholarly journals Correlation-Induced Insulating Topological Phases at Charge Neutrality in Twisted Bilayer Graphene

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Yuan Da Liao ◽  
Jian Kang ◽  
Clara N. Breiø ◽  
Xiao Yan Xu ◽  
Han-Qing Wu ◽  
...  
Keyword(s):  
Bilayer Graphene ◽  
Topological Phases ◽  
Charge Neutrality ◽  
Twisted Bilayer Graphene

scholarly journals Strange metal behavior of the Hall angle in twisted bilayer graphene

2021 ◽  
Vol 103 (24) ◽  
Author(s):  
Rui Lyu ◽  
Zachary Tuchfeld ◽  
Nishchhal Verma ◽  
Haidong Tian ◽  
Kenji Watanabe ◽  
...  
Keyword(s):  
Bilayer Graphene ◽  
Hall Angle ◽  
Twisted Bilayer Graphene
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