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Moir\'e materials provide exciting platforms for studying the interplay of strong electronic correlation and large magnetic flux effects. We study the lightly doped Hofstadter-Hubbard model on a triangular lattice through large-scale…

Strongly Correlated Electrons · Physics 2025-09-04 Feng Chen , Wen O. Wang , Jia-Xin Zhang , Leon Balents , D. N. Sheng

Moir\'e lattices provide a highly tunable platform for exploring the interplay between electronic correlations and band topology. Introducing a second moir\'e pattern extends this paradigm: interference between the two moir\'e patterns…

Twisted van der Waals materials have risen as highly tunable platform for realizing unconventional superconductivity. Here we demonstrate how a topological superconducting state can be driven in a twisted graphene multilayer at a twist…

Mesoscale and Nanoscale Physics · Physics 2024-06-18 Maryam Khosravian , Elena Bascones , Jose L. Lado

Moir\'{e} superlattices in twisted bilayer graphene and transition-metal dichalcogenides have emerged as a powerful tool for engineering novel band structures and quantum phases of two-dimensional quantum materials. Here we investigate…

Quantum Gases · Physics 2021-03-17 Xi-Wang Luo , Chuanwei Zhang

Topological insulators (TIs) are materials with an insulating bulk characterized by a gapped band structure, along with gapless metallic surface states having a Dirac cone with a helical spin structure in momentum space. The helical…

Materials Science · Physics 2024-09-02 Sumana Paul , Moumita Das , Sujoy Datta , Raja Chakraborty , Prabhat Mandal , P. K. Giri

A recent experiment has reported unconventional superconductivity in twisted bilayer MoTe$_2$, emerging from a normal state that exhibits a finite anomalous Hall effect -- a signature of intrinsic chirality. Motivated by this discovery, we…

Superconductivity · Physics 2025-06-24 Yinqi Chen , Cheng Xu , Yang Zhang , Constantin Schrade

Moir\'e superlattices in van der Waals structures can be used to control the electronic properties of the material and lead to emergent correlated and topological phenomena. Its first demonstration in van der Waals magnets exhibited…

It is well established that topological insulators sustain Dirac fermion surface states as a consequence of band inversion in the bulk. These states have a helical spin polarization and a linear dispersion with large Fermi velocity. In this…

Inspired by the rich physics of twisted 2D bilayer moir\'{e} systems, we study Coulomb interacting systems subjected to two overlapping finite 1D lattice potentials of unequal periods through exact numerical diagonalization. Unmatching…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 DinhDuy Vu , S. Das Sarma

Conventional theories for Mott insulators involve well-localized electronic orbitals. This picture fails in the presence of topological obstructions in Chern bands which prevent the formation of exponentially localized orbitals and are…

Strongly Correlated Electrons · Physics 2024-12-24 Brandon Monsen , Martin Claassen

Moir\'e transition metal dichalcogenide (TMD) materials provide an ideal playground for studying the combined interplay of strong interactions and band-topology over a range of electronic fillings. Here we investigate the panoply of…

Strongly Correlated Electrons · Physics 2024-11-22 Juan Felipe Mendez-Valderrama , Sunghoon Kim , Debanjan Chowdhury

Here we show that, in contrast to the observed surface states in well studied pnictogen chalcogenide van der Waals (vdW) topological insulators (TIs) with quintuple layer (QL) or septuple layer~(SL) structure, in superlattices, comprising…

Materials Science · Physics 2024-11-11 I. A. Shvets , E. V. Chulkov , S. V. Eremeev

Twisted moire superlattices in van-der-Waals heterostructures provide a powerful platform for engineering correlated states through moire-band reconstruction. However, whether globally coherent electronic orders can be continuously…

We present a promising route to realize spontaneous magnetic order on the surface of a 3D topological insulator by applying a superlattice potential. The superlattice potential creates tunable van Hove singularities, which, when combined…

Strongly Correlated Electrons · Physics 2022-12-29 Daniele Guerci , Jie Wang , J. H. Pixley , Jennifer Cano

Moir\'e heterostructures hold the promise to provide platforms to tailor strongly correlated and topological states of matter. Here, we theoretically propose the emergence of an effective, rectangular moir\'e lattice in twisted bilayers of…

Mesoscale and Nanoscale Physics · Physics 2022-07-07 Yifan Gao , Ammon Fischer , Lennart Klebl , Martin Claassen , Angel Rubio , Li Huang , Dante Kennes , Lede Xian

The topological insulator and strong electronic correlation effect are two important subjects in the frontier studies of modern condensed matter physics. A topological insulator exhibits a unique pair of surface conduction bands with the…

Strongly Correlated Electrons · Physics 2015-09-25 Guan Du , Zengyi Du , Xiong Yang , Enyu Wang , Delong Fang , Huan Yang , Hai-Hu Wen

Twisted heterostructures of van der Waals materials have received much attention for their many remarkable properties. Here, we present a comprehensive theory of the long-range ordered magnetic phases of twisted bilayer $\alpha$-RuCl$_3$…

Materials Science · Physics 2023-10-20 Muhammad Akram , Jesse Kapeghian , Jyotirish Das , Roser Valenti , Antia S. Botana , Onur Erten

Twisted moir\'e superlattices hosting topological flat bands provide a platform to explore the interplay between topology and correlations. Here we investigate topological band structures in $\Gamma$-valley moir\'e systems based on…

We propose a scheme to achieve breathing kagome moir\'e superlattices using three twisted layers of transition metal dichalcogenides. In this scheme, the top and bottom layers are twisted relative to the middle layer by small angles…

Mesoscale and Nanoscale Physics · Physics 2025-03-18 Adrian Fedorko , Chao-Xing Liu , Zhen Bi

Moir\'e superlattices in van der Waals materials have revolutionized the study of electronic and excitonic systems by creating periodic electrostatic potentials. Extending this concept to magnetic materials promises new pathways in merging…

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