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Related papers: Intrinsic Moir\'e Higher-Order Topology Beyond Eff…

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Large scale two-dimensional (2D) moir\'e superlattices are driving a revolution in designer quantum materials. The electronic interactions in these superlattices, strongly dependent on the periodicity and symmetry of the moir\'e pattern,…

Mesoscale and Nanoscale Physics · Physics 2022-07-26 M. Kögl , P. Soubelet , M. Brotons-Gisbert , A. V. Stier , B. D. Gerardot , J. J. Finley

In multilayer moir\'e heterostructures, the interference of multiple twist angles ubiquitously leads to tunable ultra-long-wavelength patterns known as supermoir\'e lattices. However, their impact on the system's many-body electronic phase…

Quantum particles on a lattice with competing long-range interactions are ubiquitous in physics. Transition metal oxides, layered molecular crystals and trapped ion arrays are a few examples out of many. In the strongly interacting regime,…

Strongly Correlated Electrons · Physics 2020-12-02 Yang Xu , Song Liu , Daniel A Rhodes , Kenji Watanabe , Takashi Taniguchi , James Hone , Veit Elser , Kin Fai Mak , Jie Shan

Topological insulators with unique gapless edge states have revolutionized the understanding of electronic properties in solid materials. These gapless edge states are dictated by the topological invariants associated with the quantization…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 Xiujuan Zhang , Hai-Xiao Wang , Zhi-Kang Lin , Yuan Tian , Biye Xie , Ming-Hui Lu , Yan-Feng Chen , Jian-Hua Jiang

The moir\'e superlattice system provides an excellent platform for exploring various novel quantum phenomena. To theoretically tackle the diverse correlated and topological states emerging from moir\'e superlattices, one usually adopts an…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 Bo Xie , Jianqi Huang , Jianpeng Liu

Exotic collective phenomena emerge when bosons strongly interact within a lattice. However, creating a robust and tunable solid-state platform to explore such phenomena has been elusive. Dual moir\'e systems$-$compromising two…

Mesoscale and Nanoscale Physics · Physics 2025-09-17 Amine Ben Mhenni , Elif Çetiner , Kenji Watanabe , Takashi Taniguchi , Jonathan J. Finley , Nathan P. Wilson

Twisted bilayers of two-dimensional (2D) materials are proving a fertile ground for investigating strongly correlated electron phases. This is because the moir\'e pattern introduced by the relative twist between layers introduces…

Materials Science · Physics 2021-10-13 Hao Tang , Stephen Carr , Efthimios Kaxiras

Van der Waals (vdW) heterostructures formed by 2D atomic crystals provide a powerful approach towards designer condensed matter systems. Incommensurate heterobilayers with small twisting and/or lattice mismatch lead to the interesting…

Materials Science · Physics 2017-04-11 Qingjun Tong , Hongyi Yu , Qizhong Zhu , Yong Wang , Xiaodong Xu , Wang Yao

In higher-order topological insulators (HOTIs), topologically nontrivial phases are usually associated with the shift of Wannier centers to topologically nontrivial positions on the edges of the unit cells, and the emergence of fractional…

Higher-order topological insulators (HOTIs) have attracted increasing interest as a unique class of topological quantum materials. One distinct property of HOTIs is the crystalline symmetry-imposed topological state at the lower-dimensional…

Materials Science · Physics 2023-07-25 Xiaoyin Li , Feng Liu

Recently, moir\'{e} superlattices have attracted considerable attentions because they are found to exhibit intriguing electronic phenomena of tunable Mott insulators and unconventional superconductivity. These phenomena are highly related…

Mesoscale and Nanoscale Physics · Physics 2021-03-09 Henan Fang , Mingwen Xiao

Moir\'e materials, with superlattice periodicity many times the atomic length scale, have enabled the studies of strong electronic correlations and band topology with unprecedented tunability. However, nonvolatile control of the moir\'e…

Mesoscale and Nanoscale Physics · Physics 2022-09-15 Kaifei Kang , Wenjin Zhao , Yihang Zeng , Kenji Watanabe , Takashi Taniguchi , Jie Shan , Kin Fai Mak

Topologically gapless edge states, characterized by topological invariants and Berry's phases of bulk energy bands, provide amazing techniques to robustly control the reflectionless propagation of electrons, photons and phonons. Recently, a…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 Haiyan Fan , Baizhan Xia , Liang Tong , Shengjie Zheng , Dejie Yu

The emerging field of twistronics, which harnesses the twist angle between two-dimensional materials, represents a promising route for the design of quantum materials, as the twist-angle-induced superlattices offer means to control topology…

Higher-order topological insulators (HOTIs) are a novel type of topological phases which supports $d$-dimensional topological boundary states in $D$-dimensional systems with $D-d>1$. In this work, we theoretically predict that interlayer…

Mesoscale and Nanoscale Physics · Physics 2024-01-05 Jiang Yao , Linhu Li

Spatial control of topology is highly desirable for realizing tunable quantum functionalities in materials. Moir\'e superlattices formed by twisting van der Waals heterostructures provide a natural platform for spatially modulated…

Materials Science · Physics 2026-05-28 Arjyama Bordoloi , Daniel Kaplan , Sobhit Singh

Two-dimensional multi-layer materials with an induced moir\'e pattern, either due to strain or relative twist between layers, provide a versatile platform for exploring strongly correlated and topological electronic phenomena. While these…

Strongly Correlated Electrons · Physics 2025-05-27 Mohammed M. Al Ezzi , Albert Zhu , Daniel Bennett , Daniel T. Larson , Efthimios Kaxiras

Exploration of the impact of synthetic material landscapes featuring tunable geometrical properties on physical processes is a research direction that is currently of great interest because of the outstanding phenomena that are continually…

Topological magnetic lattices offer a fertile ground for exploring fundamental physics and developing novel spintronic devices. However, current research is predominantly confined to single-Q topologies hosting uniform type of…

Materials Science · Physics 2026-02-10 Xiudong Wang , Zhonglin He , Kaiying Dou , Ying Dai , Baibiao Huang , Yandong Ma

The recent surge of interest in moir\'e superlattices of twisted van der Waals compounds has spotlighted the emergence of unconventional superconductivity and novel electronic phases. However, the range of moir\'e phenomena can be…