Strange metal behavior of the Hall angle in twisted bilayer graphene

Abstract

Twisted bilayer graphene (TBG) with interlayer twist angles near the magic angle $\approx 1.08^{\circ }$ hosts flat bands and exhibits correlated states including Mott-like insulators, superconductivity and magnetism. Here we report combined temperature-dependent transport measurements of the longitudinal and Hall resistivities in close to magic-angle TBG. While the observed longitudinal resistivity follows linear temperature $T$ dependence consistent with previous reports, the Hall resistance shows an anomalous $T$ dependence with the cotangent of the Hall angle cot $\Theta {}_H\propto T^2$. Boltzmann theory for quasiparticle transport predicts that both the resistivity and cot $\Theta {}_H$ should have the same $T$ dependence, contradicting the observed behavior. This failure of quasiparticle-based theories is reminiscent of other correlated strange metals such as cuprates.

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• Pair-density-wave and chiral superconductivity in twisted bilayer transition-metal-dichalcogenides
• Pairing symmetry of twisted bilayer graphene: a phenomenological synthesis
• Gate-defined wires in twisted bilayer graphene: from electrical detection of inter-valley coherence to internally engineered Majorana modes
• Time-Reversal Invariant Topological Moiré Flatband: A Platform for the Fractional Quantum Spin Hall Effect
• Topological Mixed Valence Model for Twisted Bilayer Graphene
• Controlled expansion for transport in a class of non-Fermi liquids
• Spin susceptibility in interacting two-dimensional semiconductors and bilayer systems at first order: Kohn anomalies and spin density wave ordering
• Superlinear Hall angle and carrier mobility from non-Boltzmann magnetotransport in the spatially disordered Yukawa-Sachdev-Ye-Kitaev model on a square lattice
• Robust $T$-Linear Resistivity due to SU(4) Valley + Spin Fluctuation Mechanism in Magic Angle Twisted Bilayer Graphene
• Strange Metal to Insulator Transitions in the Lowest Landau Level
• Stranger than Metals