Quantifying the charge carrier interaction in metallic twisted graphene superlattices

Abstract

The mechanism of charge carrier interaction in twisted bilayer graphene (TBG) remains an unresolved problem, where some researchers proposed the dominance of the electron-phonon interaction, while the others showed evidence for electron-electron or electron-magnon interactions. Here we propose to resolve this problem by generalizing the Bloch-Grüneisen equation and using it for the analysis of the temperature dependent resistivity in TBG. It is a well-established theoretical result that the Bloch-Grüneisen equation power-law exponent, n, exhibits exact integer values for certain mechanisms. For instance, n=5 implies the electron-phonon interaction, n=3 is associated with electron-magnon interaction and n=2 applies to the electron-electron interaction. Here we interpret the linear temperature-dependent resistance, widely observed in TBG, as n$\to$1, which implies the quasielastic charge interaction with acoustic phonons. Thus, we fitted TBG resistance curves to the Bloch-Grüneisen equation, where we propose that n is a free-fitting parameter. We found that TBGs have a smoothly varied n-value (ranging from 1.4 to 4.4) depending on the Moiré superlattice constant, $\lambda$, or the charge carrier concentration. This implies that different mechanisms smoothly transition from one to another. The proposed generalized Bloch-Grüneisen equation is applicable to a wide range of problems, including the Earth geology.

arXiv comment16 pages, 7 figures

References in corpus (47)

• 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
• Conventional superconductivity at 203 K at high pressures
• Tuning superconductivity in twisted bilayer graphene
• Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene
• Superconductivity at 250 K in lanthanum hydride under high pressures
• Superconductors, Orbital Magnets, and Correlated States in Magic Angle Bilayer Graphene
• Graphene bilayer with a twist: electronic structure
• Evidence for superconductivity above 260 K in lanthanum superhydride at megabar pressures
• Interface induced high temperature superconductivity in single unit-cell FeSe films on SrTiO3
• Magic Angle Spectroscopy
• Tunable Phase Boundaries and Ultra-Strong Coupling Superconductivity in Mirror Symmetric Magic-Angle Trilayer Graphene
• Localization of Dirac electrons by Moire patterns in graphene bilayers
• Tunable Moiré Bands and Strong Correlations in Small-Twist-Angle Bilayer Graphene
• Theory of phonon-mediated superconductivity in twisted bilayer graphene
• Enhanced superconductivity in atomically thin TaS2
• Phonon scattering dominated electron transport in twisted bilayer graphene
• Twisted Bilayer Graphene: A Phonon Driven Superconductor
• Superconductivity without insulating states in twisted bilayer graphene stabilized by monolayer WSe${}_2$
• Superconductivity at 161 K in Thorium Hydride $Th{H}_{10}$: Synthesis and Properties
• Direct observation of high temperature superconductivity in one-unit-cell FeSe films
• Chiral SDW and d + id superconductivity in the magic-angle twisted bilayer-graphene
• Superconductivity in Few-Layer Stanene
• Tunable correlation-driven symmetry breaking in twisted double bilayer graphene
• Phonon-induced giant linear-in-$T$ resistivity in magic angle twisted bilayer graphene: Ordinary strangeness and exotic superconductivity
• Symmetry broken Chern insulators and magic series of Rashba-like Landau level crossings in magic angle bilayer graphene
• The crucial role of atomic corrugation on the flat bands and energy gaps of twisted bilayer graphene at the "magic angle" $\theta \sim 1.08^{\circ }$
• Strong electron-phonon coupling, electron-hole asymmetry, and nonadiabaticity in magic-angle twisted bilayer graphene
• Superconducting Phase-Diagram of H3S under High Magnetic Fields
• Excess resistivity in graphene superlattices caused by umklapp electron-electron scattering
• Superconductivity of epsilon-Fe: complete resistive transition
• On the origin of critical temperature enhancement in atomically-thin superconductors
• Superconductivity emerging from a stripe charge order in IrTe2 nanoflakes
• Pressure-induced Superconductivity in Tin Sulfide
• Classifying superconductivity in Moiré graphene superlattices
• Importance of long-ranged electron-electron interactions for the magnetic phase diagram of twisted bilayer graphene
• Physical properties and electronic structure of Sr${}_2$Cr${}_3$As${}_2$O${}_2$ containing CrO${}_2$ and Cr${}_2$As${}_2$ square-planar lattices
• Enhanced $T_c$ and multiband superconductivity in the fully-gapped ReBe${}_{22}$ superconductor
• Symmetry of superconducting correlations in displaced bilayers of graphene
• Unusual magnetotransport in twisted bilayer graphene
• Resistive transition of hydrogen-rich superconductors
• Electrical transport measurements for superconducting sulfur hydrides using boron-doped diamond electrodes on beveled diamond anvil
• Resistivity measurements unveil microscopic properties of CrAs
• Chiral $p$-wave superconductivity in twisted bilayer graphene from dynamical mean field theory
• Superconductivity in twisted multilayer graphene: a smoking gun in recent condensed matter physics
• When lost in a multiverse again

Cited by in corpus (7)

• The electron-phonon coupling constant and the Debye temperature in polyhydrides of thorium, hexadeuteride of yttrium, and metallic hydrogen phase III
• Quantifying interaction mechanism in infinite layer nickelate superconductors
• The dominance of non-electron-phonon charge carrier interaction in highly-compressed superhydrides
• Extended Kohler's Rule of Magnetoresistance in TaCo${}_2$Te${}_2$
• Classifying charge carrier interaction in highly-compressed elements and silane
• Fermi-liquid nonadiabatic highly-compressed cesium iodide superconductor
• Structural and superconducting parameters of highly compressed sulfur