Engineering flat bands in twisted-bilayer graphene away from the magic angle with chiral optical cavities

Fuente: arXiv
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Main Authors: Jiang, Cunyuan, Baggioli, Matteo, Jiang, Qing-Dong
Format: Preprint
Published: 2023
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author Jiang, Cunyuan
Baggioli, Matteo
Jiang, Qing-Dong
author_facet Jiang, Cunyuan
Baggioli, Matteo
Jiang, Qing-Dong
contents Twisted bilayer graphene (TBG) is a recently discovered two-dimensional superlattice structure which exhibits strongly-correlated quantum many-body physics, including strange metallic behavior and unconventional superconductivity. Most of TBG exotic properties are connected to the emergence of a pair of isolated and topological flat electronic bands at the so-called magic angle, $θ\approx 1.05^{\circ}$, which are nevertheless very fragile. In this work, we show that, by employing chiral optical cavities, the topological flat bands can be stabilized away from the magic angle in an interval of approximately $0.8^{\circ}<θ<1.3^{\circ}$. As highlighted by a simplified theoretical model, time reversal symmetry breaking (TRSB), induced by the chiral nature of the cavity, plays a fundamental role in flattening the isolated bands and gapping out the rest of the spectrum. Additionally, TRSB suppresses the Berry curvature and induces a topological phase transition, with a gap closing at the $Γ$ point, towards a band structure with two isolated flat bands with Chern number equal to $0$. The efficiency of the cavity is discussed as a function of the twisting angle, the light-matter coupling and the optical cavity characteristic frequency. Our results demonstrate the possibility of engineering flat bands in TBG using optical devices, extending the onset of strongly-correlated topological electronic phases in moiré superlattices to a wider range in the twisting angle.
format Preprint
id arxiv_https___arxiv_org_abs_2306_05149
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Engineering flat bands in twisted-bilayer graphene away from the magic angle with chiral optical cavities
Jiang, Cunyuan
Baggioli, Matteo
Jiang, Qing-Dong
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
Superconductivity
Optics
Quantum Physics
Twisted bilayer graphene (TBG) is a recently discovered two-dimensional superlattice structure which exhibits strongly-correlated quantum many-body physics, including strange metallic behavior and unconventional superconductivity. Most of TBG exotic properties are connected to the emergence of a pair of isolated and topological flat electronic bands at the so-called magic angle, $θ\approx 1.05^{\circ}$, which are nevertheless very fragile. In this work, we show that, by employing chiral optical cavities, the topological flat bands can be stabilized away from the magic angle in an interval of approximately $0.8^{\circ}<θ<1.3^{\circ}$. As highlighted by a simplified theoretical model, time reversal symmetry breaking (TRSB), induced by the chiral nature of the cavity, plays a fundamental role in flattening the isolated bands and gapping out the rest of the spectrum. Additionally, TRSB suppresses the Berry curvature and induces a topological phase transition, with a gap closing at the $Γ$ point, towards a band structure with two isolated flat bands with Chern number equal to $0$. The efficiency of the cavity is discussed as a function of the twisting angle, the light-matter coupling and the optical cavity characteristic frequency. Our results demonstrate the possibility of engineering flat bands in TBG using optical devices, extending the onset of strongly-correlated topological electronic phases in moiré superlattices to a wider range in the twisting angle.
title Engineering flat bands in twisted-bilayer graphene away from the magic angle with chiral optical cavities
topic Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
Superconductivity
Optics
Quantum Physics
url https://arxiv.org/abs/2306.05149