Twisted bilayered graphenes at magic angles and Casimir interactions: correlation-driven effects

Abstract

Twisted bilayered graphenes at magic angles are systems housing long ranged periodicity of Moiré pattern together with short ranged periodicity associated with the individual graphenes. Such materials are a fertile ground for novel states largely driven by electronic correlations. Here we find that the ubiquitous Casimir force can serve as a platform for macroscopic manifestations of the quantum effects stemming from the magic angle bilayered graphenes properties and their phases determined by electronic correlations. By utilizing comprehensive calculations for the electronic and optical response, we find that Casimir torque can probe anisotropy from the Drude conductivities in nematic states, while repulsion in the Casimir force can help identify topologically nontrivial phases in magic angle twisted bilayered graphenes.

arXiv comment9 pages, 6 figures (main), 7 pages, 7 figures (supplementary); provisionally accepted for publication in 2D Materials

References in corpus (55)

• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
• Moire bands in twisted double-layer graphene
• Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene
• Superconductors, Orbital Magnets, and Correlated States in Magic Angle Bilayer Graphene
• Intrinsic quantized anomalous Hall effect in a moiré heterostructure
• Valley-Polarized Metals and Quantum Anomalous Hall Effect in Silicene
• Flat Bands in Slightly Twisted Bilayer Graphene
• Graphene Bilayers with a Twist
• The Casimir force between real materials: experiment and theory
• Evidence for an electron nematic phase transition in underdoped iron pnictide superconductors
• The `Friction' of Vacuum, and other Fluctuation-Induced Forces
• Imaging Electronic Correlations in Twisted Bilayer Graphene near the Magic Angle
• Charge-Order and Broken Rotational Symmetry in Magic Angle Twisted Bilayer Graphene
• Spectroscopic signatures of many-body correlations in magic angle twisted bilayer graphene
• Continuum Model of the Twisted Bilayer
• Fractional Chern insulators in magic-angle twisted bilayer graphene
• Origin of Mott insulating behavior and superconductivity in twisted bilayer graphene
• Photo-Induced Topological Phase Transition and a Single Dirac-Cone State in Silicene
• Maximally-localized Wannier orbitals and the extended Hubbard model for the twisted bilayer graphene
• Untying the insulating and superconducting orders in magic-angle graphene
• Faithful Tight-binding Models and Fragile Topology of Magic-angle Bilayer Graphene
• A Materials Perspective on Casimir and van der Waals Interactions
• Nematicity and Competing Orders in Superconducting Magic-Angle Graphene
• Chern Insulators and Topological Flat-bands in Magic-angle Twisted Bilayer Graphene
• An exact continuum model for low-energy electronic states of twisted bilayer graphene
• Electronic Structure Theory of Weakly Interacting Bilayers
• Continuum models for twisted bilayer graphene: the effects of lattice deformation and hopping parameter
• Moir{é} patterns as a probe of interplanar interactions: graphene on h-BN
• Structural and electronic transformation in low-angle twisted bilayer graphene
• Casimir Forces and Graphene Sheets
• Anisotropic in-plane resistivity in the nematic phase of the iron pnictides
• Sign-reversal of the in-plane resistivity anisotropy in iron pnictides
• Sign-reversal of the in-plane resistivity anisotropy in hole-doped iron pnictides
• Optical conductivity, Drude weight and plasmons in twisted graphene bilayers
• Anisotropy of the in-plane resistivity of underdoped Ba(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$ superconductors induced by impurity scattering in the antiferromagnetic orthorhombic phase
• Optical Conductivity of Twisted Bilayer Graphene
• Repulsive Casimir Effect with Chern insulators
• Conductivity anisotropy in the antiferromagnetic state of iron pnictides
• Casimir Force Phase Transitions in the Graphene Family
• Strong geometry dependence of the Casimir force between interpenetrated rectangular gratings
• Platform for measurements of the Casimir force between two superconductors
• Demonstration of an Unusual Thermal Effect in the Casimir Force from Graphene
• Giant Casimir torque between rotated gratings and the $\theta =0$ anomaly
• Casimir force measurements in Au-Au and Au-Si cavities at low temperature
• Optical conductivity and Raman scattering of iron superconductors
• The quest for Casimir repulsion between Chern-Simons surfaces
• Casimir force between Weyl semimetals in a chiral medium
• Experimental and theoretical investigation of the thermal effect in the Casimir interaction from graphene
• Effects of Spatial Dispersion on the Casimir Force between Graphene Sheets
• Thermal Casimir and Casimir-Polder interactions in $N$ parallel 2D Dirac materials
• Correlated states in magic angle twisted bilayer graphene under the optical conductivity scrutiny
• Casimir-Polder force and torque for anisotropic molecules close to conducting planes and their effects on CO${}_2$
• Van der Waals torque and force between dielectrically anisotropic layered media
• Qualitative chirality effects on the Casimir-Lifshitz torque with liquid crystals

Cited by in corpus (6)

• Giant anisotropy and Casimir phenomena: the case of carbon nanotube metasurfaces
• Tunable non-additivity in Casimir-Lifshitz force between graphene gratings
• Phonon-assisted Casimir interactions between piezoelectric materials
• Interplay between finite thickness and chirality effects on the Casimir-Lifshitz torque with nematic cholesteric liquid crystals
• Casimir-Lifshitz force for graphene-covered gratings
• Casimir effect in twisted photonic gratings with in-plane chirality