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Imaging Electronic Correlations in Twisted Bilayer Graphene near the Magic Angle (1901.02997v1)

Published 10 Jan 2019 in cond-mat.mes-hall and cond-mat.str-el

Abstract: Twisted bilayer graphene with a twist angle of around 1.1{\deg} features a pair of isolated flat electronic bands and forms a strongly correlated electronic platform. Here, we use scanning tunneling microscopy to probe local properties of highly tunable twisted bilayer graphene devices and show that the flat bands strongly deform when aligned with the Fermi level. At half filling of the bands, we observe the development of gaps originating from correlated insulating states. Near charge neutrality, we find a previously unidentified correlated regime featuring a substantially enhanced flat band splitting that we describe within a microscopic model predicting a strong tendency towards nematic ordering. Our results provide insights into symmetry breaking correlation effects and highlight the importance of electronic interactions for all filling factors in twisted bilayer graphene.

Citations (465)

Summary

  • The paper demonstrates that electronic correlations in magic-angle TBG drive nematic ordering and gap formation at specific filling factors.
  • It employs scanning tunneling microscopy alongside a ten-band tight-binding model to elucidate the role of local Coulomb interactions and disorder.
  • The findings provide insights into unconventional quantum phases in graphene, suggesting potential routes for novel electronic device applications.

Electronic Correlations in Twisted Bilayer Graphene Near the Magic Angle

This paper presents an exploration of the electronic correlation effects in twisted bilayer graphene (TBG), particularly when aligned at a nearly zero-degree angle, known as the magic angle. Such a configuration is crucial due to its provision of isolated flat electronic bands that enhance interaction effects markedly strengthening correlations between electrons. The paper employs scanning tunneling microscopy (STM) to elucidate the local structural and electronic landscape of magic-angle TBG and disentangles the influence of electron correlations from other extrinsic factors.

Twisted bilayer graphene, especially near the magic angle, is a contemporary research focus due to its potential to exhibit novel quantum phases such as correlated insulating states and superconductivity under specific conditions. The lattice mismatch resulting from bilayers twisted at a small angle induces a moiré pattern that localizes electronic states, leading to flat bands with significantly suppressed kinetic energy. These bands are susceptible to strong Coulomb interactions, which can lead to unconventional electronic states.

Key outcomes from this research include experimental observations of gap formation at half-filling that are attributed to correlated insulating states. The authors successfully identify symmetry-breaking phenomena, emphasizing the role of nematic ordering arising from electronic correlations. These findings are particularly critical as they highlight the significance of electronic interactions over filling factors, and the near-charged neutrality regime draws particular interest due to the potential rise of distinctive electronic phases.

The paper highlights the results using STM techniques to probe the local densities of states (LDOS), capturing the emergence of gaps and band flattening as they approach half-filling or other commensurate fillings in TBG. The paper's results demonstrate substantial splitting and shift in the LDOS near the charge neutrality point, pointing toward an interaction-driven band splitting, which prevails despite small deviations from the magic angle. Consequently, these results bolster the theorization of a nematic ground state that further implicates symmetry breaking in TBG's correlated phases.

The theoretical framework employed by the authors involves a ten-band tight-binding model, accompanied by local Coulomb interactions. This enables the exploration of the interactions' impact on the symmetry and provides qualitative agreement with the experimental data. The model incorporates spin and valley degrees of freedom, and the authors account for symmetry breaking through mean-field approximations. Notably, they emphasize that the disorder or strain in the sample can enhance the manifestation of a nematic phase, indicating that these extrinsic factors may stabilize the correlated states observed.

In terms of implications, these insights into electronic correlations in TBG have far-reaching implications in condensed matter physics, particularly in understanding and developing novel quantum materials. The manifestation of symmetry breaking, especially nematic ordering, provides a tangible path for exploring unconventional superconductivity and other exotic quantum phases in graphene-based systems. From a technological standpoint, understanding these interactions is essential for future applications in electronic devices leveraging quantum effects.

Conclusively, this research contributes to the theoretical and experimental understanding of correlation effects in magic-angle bilayer graphene. It underscores the role of lattice-induced localization, electron-electron interactions, and symmetry considerations in shaping the electronic structure of these materials. Moving forward, continued exploration is needed to illuminate the precise mechanisms that stabilize these phases, particularly under varying conditions of loading and environmental influences. This will ultimately enhance the understanding of TBG as a model platform for correlated electron systems and open avenues for potential material innovation.