# Chiral \$p\$-wave superconductivity in twisted bilayer graphene from dynamical mean field theory.

```@article{Pahlevanzadeh2020ChiralS,
title={Chiral \\$p\\$-wave superconductivity in twisted bilayer graphene from dynamical mean field theory.},
author={B. Pahlevanzadeh and P. Sahebsara and D. S{\'e}n{\'e}chal},
journal={arXiv: Strongly Correlated Electrons},
year={2020}
}```
• Published 2020
• Physics
• arXiv: Strongly Correlated Electrons
We apply cluster dynamical mean field theory with an exact-diagonalization impurity solver to a Hubbard model for magic-angle twisted bilayer graphene, built on the tight-binding model proposed by Kang and Vafek~\cite{kang2018}. This model applies to the magic angle \$1.30^\circ\$. We find that triplet superconductivity with \$p+ip\$ symmetry is stabilized by CDMFT, contrary to other triplet or singlet order parameters. A minimum of the order parameter exists close to quarter-filling, as observed… Expand
2 Citations

#### Figures and Tables from this paper

Magnetism of magic-angle twisted bilayer graphene
• Physics
• 2021
We investigate magnetic instabilities in charge-neutral twisted bilayer graphene close to so-called “magic angles” using a combination of real-space Hartree-Fock and dynamical mean-field theories. InExpand
Quantifying the Charge Carrier Interaction in Metallic Twisted Bilayer Graphene Superlattices
The proposed generalized Bloch–Grüneisen equation is applicable to a wide range of disciplines, including superconductivity and geology, and found that TBGs have a smoothly varied p-value, which implies that different mechanisms of the charge carrier interaction in TBG superlattices smoothly transition from one mechanism to another depending on λ and n. Expand

#### References

SHOWING 1-10 OF 53 REFERENCES
Symmetry
• Computer Science
• Am. Math. Mon.
• 2000
The word "symmetry" is used in mathematics quite differently from in ordinary speech. In everyday life one applies it mainly to two-sided, right-left symmetry; but not so in mathematics. Admittedly,Expand
Symmetry, Maximally Localized Wannier States, and a Low-Energy Model for Twisted Bilayer Graphene Narrow Bands
• Materials Science, Physics
• 2018
We build symmetry adapted maximally localized Wannier states, and construct the low energy tight binding model for the four narrow bands of the twisted bilayer graphene. We do so when the twist angleExpand
Metal-insulator transition and dominant d + id pairing symmetry in twisted bilayer graphene
• Phys. Rev. B 101, 155413 (2020), doi:10.1103/PhysRevB.101.155413. 13 SciPost Phys. 11, 017
• 2021
A diagnosis of explicit symmetry breaking in the tight-binding constructions for symmetry-protected topological systems
• Physics
• 2020
It has been well established that for symmetry protected topological systems, the non-trivial topology prevents a real space representation using exponentially localized Wannier wavefunctions (WFs)Expand
Constrained random phase approximation of the effective Coulomb interaction in lattice models of twisted bilayer graphene
• Physics
• 2020
Recent experiments on twisted bilayer graphene show the urgent need for establishing a low-energy lattice model for the system. We use the constrained random phase approximation to study theExpand
Metal-insulator transition and dominant d+id pairing symmetry in twisted bilayer graphene
• Physics, Materials Science
• 2020
Motivated by recent experimental studies that have found signatures of a correlated insulator phase and tuning superconductivity in twisted bilayer graphene, we study the temperature-dependentExpand
Metal-insulator transition and dominant \$d+id\$ pairing symmetry in twisted bilayer graphene
• Phys. Rev. B 101, 155413 (2020) .
• 2020
Nematic superconductivity in twisted bilayer graphene
• Physics, Materials Science
• 2020
Twisted bilayer graphene displays insulating and superconducting phases caused by flattening of its energy band. In the superconducting dome near hole half-filling, the threefold lattice rotationExpand
Attractive electron-electron interactions from internal screening in magic-angle twisted bilayer graphene
• Physics
• 2019
Twisted bilayer graphene (tBLG) has recently emerged as a new platform for studying electron correlations, the strength of which can be controlled via the twist angle. Here, we study the effect ofExpand
Ground state superconducting pair correlations in twisted bilayer graphene
• Lufeng Zhang, Ying Liang, Tianxing Ma
• Materials Science
• 2019
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...