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Imaging orbital ferromagnetism in a moiré Chern insulator (2006.08053v1)

Published 14 Jun 2020 in cond-mat.mes-hall and cond-mat.str-el

Abstract: Electrons in moir\'e flat band systems can spontaneously break time reversal symmetry, giving rise to a quantized anomalous Hall effect. Here we use a superconducting quantum interference device to image stray magnetic fields in one such system composed of twisted bilayer graphene aligned to hexagonal boron nitride. We find a magnetization of several Bohr magnetons per charge carrier, demonstrating that the magnetism is primarily orbital in nature. Our measurements reveal a large change in the magnetization as the chemical potential is swept across the quantum anomalous Hall gap consistent with the expected contribution of chiral edge states to the magnetization of an orbital Chern insulator. Mapping the spatial evolution of field-driven magnetic reversal, we find a series of reproducible micron scale domains whose boundaries host chiral edge states.

Citations (164)

Summary

Imaging Orbital Ferromagnetism in a Moiré Chern Insulator

The paper under review explores the phenomenon of orbital ferromagnetism within moiré Chern insulators, particularly focusing on twisted bilayer graphene (tBLG) aligned with hexagonal boron nitride (hBN). This paper bridges the gap between theoretical predictions and experimental verification of orbital-only ferromagnetic order in these advanced materials. Central to the investigation is the utilization of a superconducting quantum interference device (SQUID), allowing for nanoscale imaging of stray magnetic fields, thereby providing insight into the intrinsic properties of orbital magnetism in these structures.

The authors report a magnetization characteristic of several Bohr magnetons per charge carrier, indicating that the magnetism predominantly arises from orbital contributions rather than spin alignment. Such findings are consistent with theoretical expectations for orbital Chern insulators, where the orbital moments alone can manifest in observable ferromagnetic orders through strong electron-electron interactions when the system is close to integer band filling.

Key experimental methodologies include the design and application of a nanoscale SQUID, capable of high-sensitivity magnetic imaging at cryogenic temperatures. This is strategically used to map the alignment and dynamics of magnetic domains within the tBLG sample. The results reveal both the presence of significant orbital magnetization and the formation of micron-scale magnetic domains, which house chiral edge states and are pivotal in understanding the quantum anomalous Hall (QAH) effect observed in these materials.

Quantitatively, the paper finds that the maximum magnetization density achieved is notably higher than that attributable to spin effects alone, reinforcing the predominance of orbital interactions in the magnetization process. Moreover, the density dependence of magnetization is explored, supporting the hypothesis that orbital Chern insulators exhibit significant changes in magnetization with electron/hole doping, further intricately tied to the QAH effect by the domain formation behavior.

Theoretical implications derived from these results challenge and enrich current understanding of correlated electron systems and the mechanisms underlying topological insulators. The experimental findings underscore the role of Berry curvature and topological band structures in inducing orbital magnetism, independent of spin-orbit coupling.

Practically, these advancements present opportunities for engineering novel electronic devices leveraging the tunable magnetic and electronic properties of moiré superlattices. This could catalyze further research into high-performance, low-energy electronics and quantum computing components.

Speculation on future developments in the field suggests that as control over moiré patterning and domain engineering advances, it will become feasible to design customized electronic materials exhibiting desired magnetic and topological properties, paving the way for robust and adjustable quantum devices. Further investigations could also expand upon the control of magnetic domain behavior, a crucial factor in actualizing practical applications such as memory storage devices and sensors with unprecedented precision.

Overall, this paper contributes significant experimental evidence towards understanding and harnessing orbital magnetism in moiré systems, marking a substantial step forward in the exploitation of topological materials for future technological applications.

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