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Related papers: Moir\'{e} induced topology and flat bands in twist…

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We develop the moir\'e band theory for M-valley twisted square homobilayers with layer groups $P$-$42m$ and $P$-$4m2$, and propose candidate material realizations. We show that moir\'e ferroelectricity-originating from sliding…

Mesoscale and Nanoscale Physics · Physics 2026-03-17 Kejie Bao , Rui Shi , Huan Wang , Linghao Huang , Jing Wang

We investigate the bandwidth compression due to out of plane pressure of the moire flatbands near charge neutrality in twisted bilayer graphene for a continuous range of small rotation angles of up to $\sim2.5^{\circ}$. The flatband…

Mesoscale and Nanoscale Physics · Physics 2019-01-29 Bheema Lingam Chittari , Nicolas Leconte , Srivani Javvaji , Jeil Jung

Twisted bilayer MoTe$_2$ near two-degree twists has emerged as a platform for exotic correlated topological phases, including ferromagnetism and a non-Abelian fractional spin Hall insulator. Here we reveal the unexpected emergence of an…

Strongly Correlated Electrons · Physics 2026-03-16 Cheong-Eung Ahn , Donghae Seo , Gyeoul Lee , Youngwook Kim , Gil Young Cho

The interplay between moir\'e flat bands originating from different valleys can give rise to a variety of exotic quantum phases. In this work, we investigate the electronic properties of twisted mono-bilayer (A-AB) and mono-trilayer (A-ABA)…

We present a systematic theoretical study on the structural and electronic properties of twisted trilayer transition metal dichalcogenide (TMD) WSe$_2$, where two independent moir\'e patterns form between adjacent layers. Using a continuum…

Mesoscale and Nanoscale Physics · Physics 2025-12-19 Naoto Nakatsuji , Takuto Kawakami , Hayato Tateishi , Koichiro Kato , Mikito Koshino

Twisted bilayer systems with discrete magic angles, such as twisted bilayer graphene featuring moir\'{e} superlattices, provide a versatile platform for exploring novel physical properties. Here, we discover a class of superflat bands in…

Optics · Physics 2022-05-31 Hongfei Wang , Shaojie Ma , Shuang Zhang , Dangyuan Lei

Recent experiments in twisted bilayer transition-metal dichalcogenides have revealed a variety of strongly correlated phenomena. To theoretically explore their origin, we combine here ab initio calculations with correlated model approaches…

Strongly Correlated Electrons · Physics 2025-10-03 Marta Brzezińska , Sergii Grytsiuk , Malte Rösner , Marco Gibertini , Louk Rademaker

Twisting bilayers of two-dimensional topological insulators has the potential to create unique quantum states of matter. Here, we successfully synthesized a twisted bilayer of germanene on Ge2Pt(101) with a 21.8$^o$ degrees twist angle,…

Special arrangements of atoms with more than one atom per unit cell, including honeycomb or kagome (woven bamboo mat) lattices, can host propagating excitations with non-trivial topology as defined by their evolution along closed paths in…

Twisting two layers into a magic angle (MA) of ~1.1{\deg} is found essential to create low energy flat bands and the resulting correlated insulating, superconducting, and magnetic phases in twisted bilayer graphene (TBG). While most of…

Flat-band topologies and localizations in non-interacting systems are extensively studied in different quantum and classical-wave systems. Recently, the exploration on the novel physics of flat-band localizations and topologies in…

Mesoscale and Nanoscale Physics · Physics 2023-02-08 Xiaoqi Zhou , Weixuan Zhang , Houjun Sun , Xiangdong Zhang

Moir\'e superlattices formed from transition metal dichalcogenides (TMDs) have been shown to support a variety of quantum electronic phases that are highly tunable using applied electromagnetic fields. While the valley character of the…

We show that the electronic structure of the low-energy bands in the small angle-twisted bilayer graphene consists of a series of semi-metallic and topological phases. In particular we are able to prove, using an approximate low-energy…

Mesoscale and Nanoscale Physics · Physics 2019-07-24 Zhida Song , Zhijun Wang , Wujun Shi , Gang Li , Chen Fang , B. Andrei Bernevig

Several moir\'e systems created by various twisted bilayers have manifested magnetism under flatband conditions leading to enhanced interaction effects. We theoretically study stability of moir\'e flatband ferromagnetism against collective…

Strongly Correlated Electrons · Physics 2020-10-15 Fengcheng Wu , S. Das Sarma

We investigate the moir\'e band structures and the strong correlation effects in twisted bilayer MoTe$_2$ for a wide range of twist angles, employing a combination of various techniques. Using large-scale first principles calculations, we…

Strongly Correlated Electrons · Physics 2024-03-04 Cheng Xu , Jiangxu Li , Yong Xu , Zhen Bi , Yang Zhang

Flat electronic bands enable fascinating emergent phenomena such as superconductivity and charge orders. A prevailing approach to realizing flat bands is to engineer lattice geometric constraints in twisted or kagome-like materials. An…

We study twisted bilayer WSe$_2$ within a continuum moir\'e model and introduce a method for treating finite geometries directly in the continuum framework, overcoming limitations associated with momentum-space formulations and Wannier…

Mesoscale and Nanoscale Physics · Physics 2026-04-30 Yasser Saleem , Paweł Potasz , Anna Dyrdał , Björn Trauzettel , Ewelina M. Hankiewicz

The formation of flat electronic bands from long-wavelength superperiodic moir\'e potentials in van der Waals heterostructures underpins the creation and control of a host of highly-tuneable correlated and topological phases. The underlying…

Strongly Correlated Electrons · Physics 2025-11-11 B. K. Saika , S. Buchberger , S. Mo , A. Rajan , D. Halliday , Y. -C. Yao , L. C. Rhodes , B. Sarpi , T. Balasubramanian , C. Polley , P. Wahl , P. D. C. King

The emergence of moir\'e materials with flat bands provides a platform to systematically investigate and precisely control correlated electronic phases. Here, we report local electronic compressibility measurements of a twisted…

The structural and electronic properties of twisted bilayer graphene are investigated from first principles and tight binding approach as a function of the twist angle (ranging from the first "magic" angle $\theta=1.08^\circ$ to…

Materials Science · Physics 2020-10-28 G. Cantele , D. Alfè , F. Conte , V. Cataudella , D. Ninno , P. Lucignano