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Twisted van der Waals bilayers provide an ideal platform to study the electron correlation in solids. Of particular interest is the 30 degree twisted bilayer honeycomb lattice system, which possesses an incommensurate moire pattern and…

Materials Science · Physics 2021-03-02 Yu-Hao Shen , Wen-Yi Tong , He Hu , Jun-Ding Zheng , Chun-Gang Duan

Recent experiments have realized a twisted bilayer-like optical potential for ultra-cold atoms, which in contrast to solid-state set ups may allow for an arbitrary ratio between the inter- and intra-layer couplings. For commensurate Moir\'e…

Quantum Gases · Physics 2024-04-04 Ganesh C. Paul , Patrik Recher , Luis Santos

Artificially constructed van der Waals heterostructures (vdWHs) provide an ideal platform for realizing emerging quantum phenomena in condensed matter physics. Two methods for building vdWHs have been developed: stacking two-dimensional…

Materials Science · Physics 2020-12-30 Wei Yao , Martin Aeschlimann , Shuyun Zhou

A moire pattern is formed when two copies of a periodic pattern are overlaid with a relative twist. We address the electronic structure of a twisted two-layer graphene system, showing that in its continuum Dirac model the moire pattern…

Mesoscale and Nanoscale Physics · Physics 2016-07-13 R. Bistritzer , A. H. MacDonald

The physical properties of two-dimensional van der Waals (2D vdW) crystals depend sensitively on the interlayer coupling, which is intimately connected to the stacking arrangement and the interlayer spacing. For example, simply changing the…

Recent advances in the field of vertically stacked 2D materials have revealed a rich exciton landscape. In particular, it has been demonstrated that out-of-plane electrical fields can be used to tune the spectral position of spatially…

Mesoscale and Nanoscale Physics · Physics 2023-01-18 Joakim Hagel , Samuel Brem , Ermin Malic

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…

The large surface-to-volume ratio in atomically thin 2D materials allows to efficiently tune their properties through modifications of their environment. Artificial stacking of two monolayers into a bilayer leads to an overlap of…

Mesoscale and Nanoscale Physics · Physics 2020-05-14 Samuel Brem , Kai-Qiang Lin , Roland Gillen , Jonas M. Bauer , Janina Maultzsch , John M. Lupton , Ermin Malic

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…

Sliding and twisting van der Waals layers with respect to each other gives rise to moir\'e structures with emergent electronic properties. Electrons in these moir\'e structures feel weak potentials that are typically in the tens of…

Mesoscale and Nanoscale Physics · Physics 2020-07-14 Drew Edelberg , Hemant Kumar , Vivek Shenoy , Héctor Ochoa , Abhay N. Pasupathy

Moire patterns result from setting a 2D material such as graphene on another 2D material with a small twist angle or from the lattice mismatch of 2D heterostructures. We present a continuum model for the elastic energy of these bilayer…

Mathematical Physics · Physics 2023-03-28 Paul Cazeaux , Drake Clark , Rebecca Engelke , Philip Kim , Mitchell Luskin

Moir\'e superlattices provide a compelling platform for exploring exotic correlated physics. Electronic interference within these systems often results in flat bands with localized electrons, which are typically described by effective…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Xianliang Zhou , Yifan Gao , Laiyuan Su , Z. F. Wang , Li Huang , Angel Rubio , Zhiwen Shi , Lede Xian

We generalize the continuum model for Moir\'e structures made from twisted graphene layers, in order to include lattice relaxation and the formation of channels at very small (marginal) twist angles. We show that a precise description of…

Strongly Correlated Electrons · Physics 2020-02-19 Niels R. Walet , Francisco Guinea

Twisted double bilayer graphene has recently emerged as an interesting moir\'e material that exhibits strong correlation phenomena that are tunable by an applied electric field. Here we study the atomic and electronic properties of three…

The interlayer coupling is emerging as a new parameter for tuning the physical properties of two-dimensional (2D) van der Waals materials. When two identical semiconductor monolayers are stacked with a twist angle, the periodic interlayer…

Mesoscale and Nanoscale Physics · Physics 2022-09-16 Jing Liang , Dongyang Yang , Jingda Wu , Jerry I Dadap , Kenji Watanabe , Takashi Taniguchi , Ziliang Ye

Random defects do not constitute the unique source of electron localization in two dimensions. Lattice quasidisorder generated from two inplane superimposed rotated, main and secondary, square lattices, namely monolayers where moir\'e…

Mesoscale and Nanoscale Physics · Physics 2024-05-03 Christian Madroñero , Gustavo Alexis Dominguez Castro , Rosario Paredes

The high mechanical strength and excellent flexibility of 2D materials such as graphene are some of their most important properties [1]. Good flexibility is key for exploiting 2D materials in many emerging technologies, such as wearable…

Mesoscale and Nanoscale Physics · Physics 2018-09-05 A. P. Rooney , Z. Li , W. Zhao , A. Gholinia , A. Kosikov , G. Auton , F. Ding , R. V. Gorbachev , R. J. Young , S. J Haigh

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

Moir\'e magnetism, parallel with moir\'e electronics that has led to novel correlated and topological electronic states, emerges as a new venue to design and control exotic magnetic phases in twisted magnetic two-dimensional(2D) crystals.…

Moir\'e superlattices of transition metal dichalcogenide (TMD) heterostructures give rise to rich excitonic phenomena associated with the interlayer twist angle and induced changes in the involved quantum states. Theoretical calculations of…

Materials Science · Physics 2022-09-13 Sudipta Kundu , Tomer Amit , H. R. Krishnamurthy , Manish Jain , Sivan Refaely-Abramson
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