Wang Xiaoyu, Finney Joe, Sharpe Aaron L, Rodenbach Linsey K, Hsueh Connie L, Watanabe Kenji, Taniguchi Takashi, Kastner M A, Vafek Oskar, Goldhaber-Gordon David
National High Magnetic Field Laboratory, Tallahassee, FL 32310.
Department of Physics, Stanford University, Stanford, CA 94305.
Proc Natl Acad Sci U S A. 2023 Aug 22;120(34):e2307151120. doi: 10.1073/pnas.2307151120. Epub 2023 Aug 14.
Anisotropic hopping in a toy Hofstadter model was recently invoked to explain a rich and surprising Landau spectrum measured in twisted bilayer graphene away from the magic angle. Suspecting that such anisotropy could arise from unintended uniaxial strain, we extend the Bistritzer-MacDonald model to include uniaxial heterostrain and present a detailed analysis of its impact on band structure and magnetotransport. We find that such strain strongly influences band structure, shifting the three otherwise-degenerate van Hove points to different energies. Coupled to a Boltzmann magnetotransport calculation, this reproduces previously unexplained nonsaturating [Formula: see text] magnetoresistance over broad ranges of density near filling [Formula: see text] and predicts subtler features that had not been noticed in the experimental data. In contrast to these distinctive signatures in longitudinal resistivity, the Hall coefficient is barely influenced by strain, to the extent that it still shows a single sign change on each side of the charge neutrality point-surprisingly, this sign change no longer occurs at a van Hove point. The theory also predicts a marked rotation of the electrical transport principal axes as a function of filling even for fixed strain and for rigid bands. More careful examination of interaction-induced nematic order versus strain effects in twisted bilayer graphene could thus be in order.
最近,一个简化的霍夫施塔特模型中的各向异性跳跃被用来解释在远离魔角的扭曲双层石墨烯中测量到的丰富且令人惊讶的朗道光谱。由于怀疑这种各向异性可能源于意外的单轴应变,我们扩展了比斯特里策 - 麦克唐纳模型以纳入单轴异质应变,并详细分析了其对能带结构和磁输运的影响。我们发现这种应变强烈影响能带结构,将原本简并的三个范霍夫点移动到不同能量处。结合玻尔兹曼磁输运计算,这再现了在填充附近的宽密度范围内先前无法解释的非饱和[公式:见原文]磁阻,并预测了实验数据中未被注意到的更细微特征。与纵向电阻率中的这些独特特征形成对比的是,霍尔系数几乎不受应变影响,以至于在电荷中性点两侧它仍然只显示一次符号变化——令人惊讶的是,这种符号变化不再发生在范霍夫点处。该理论还预测,即使对于固定应变和刚性能带,电输运主轴也会随着填充而发生显著旋转。因此,对扭曲双层石墨烯中相互作用诱导的向列序与应变效应进行更仔细的研究可能是有必要的。