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Krishnamurthy, H. R.
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article
Breakdown of semiclassical description of thermoelectricity in near-magic angle twisted bilayer graphene
Abstract
<jats:title>Abstract</jats:title><jats:p>The planar assembly of twisted bilayer graphene (tBLG) hosts multitude of interaction-driven phases when the relative rotation is close to the magic angle (<jats:italic>θ</jats:italic><jats:sub>m</jats:sub> = 1.1<jats:sup>∘</jats:sup>). This includes correlation-induced ground states that reveal spontaneous symmetry breaking at low temperature, as well as possibility of non-Fermi liquid (NFL) excitations. However, experimentally, manifestation of NFL effects in transport properties of twisted bilayer graphene remains ambiguous. Here we report simultaneous measurements of electrical resistivity (<jats:italic>ρ</jats:italic>) and thermoelectric power (<jats:italic>S</jats:italic>) in tBLG for several twist angles between <jats:italic>θ</jats:italic> ~ 1.0 − 1.7<jats:sup>∘</jats:sup>. We observe an emergent violation of the semiclassical Mott relation in the form of excess <jats:italic>S</jats:italic> close to half-filling for <jats:italic>θ</jats:italic> ~ 1.6<jats:sup>∘</jats:sup> that vanishes for <jats:italic>θ</jats:italic> ≳ 2<jats:sup>∘</jats:sup>. The excess <jats:italic>S</jats:italic> (≈2 <jats:italic>μ</jats:italic>V/K at low temperatures <jats:italic>T</jats:italic> ~ 10 K at <jats:italic>θ</jats:italic> ≈ 1.6<jats:sup>∘</jats:sup>) persists upto ≈40 K, and is accompanied by metallic <jats:italic>T</jats:italic>-linear <jats:italic>ρ</jats:italic> with transport scattering rate (<jats:italic>τ</jats:italic><jats:sup>−1</jats:sup>) of near-Planckian magnitude <jats:italic>τ</jats:italic><jats:sup>−1</jats:sup> ~ <jats:italic>k</jats:italic><jats:sub>B</jats:sub><jats:italic>T</jats:italic>/ℏ. Closer to <jats:italic>θ</jats:italic><jats:sub>m</jats:sub>, the excess <jats:italic>S</jats:italic> was also observed for fractional band filling (<jats:italic>ν</jats:italic> ≈ 0.5). The combination of non-trivial electrical transport and violation of Mott relation provides compelling evidence of NFL physics intrinsic to tBLG.</jats:p>