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The study of twisted two-dimensional (2D) materials, where twisting layers create moir\'e superlattices, has opened new opportunities for investigating topological phases and strongly correlated physics. While systems such as twisted…

Topological phases of matter are often understood and predicted with the help of crystal symmetries, although they don't rely on them to exist. In this chapter we review how topological phases have been recently shown to emerge in amorphous…

Disordered Systems and Neural Networks · Physics 2022-08-23 Adolfo G. Grushin

Transition metal dichalcogenide (TMD) moir\'e bilayers have realized a wide range of strongly correlated and topological phenomena. The physics in these materials is often sensitive to the interlayer stacking order. Polarization-resolved…

The search for artificial topological superconductivity has been limited by the stringent conditions required for its emergence. As exemplified by the recent discoveries of various correlated electronic states in twisted van der Waals…

Mesoscale and Nanoscale Physics · Physics 2022-01-14 Shawulienu Kezilebieke , Viliam Vaňo , Md N. Huda , Markus Aapro , Somesh Chandra Ganguli , Peter Liljeroth , Jose L. Lado

Topological bandstructures interfering with moir\'e superstructures give rise to a plethora of emergent phenomena, which are pivotal for correlated insulating and superconducting states of twisttronics materials. While quasiperiodicity was…

Mesoscale and Nanoscale Physics · Physics 2024-03-28 Tobias Herrig , Christina Koliofoti , Jedediah H. Pixley , Elio J. König , Roman-Pascal Riwar

Strong magnetic fields profoundly affect the quantum physics of charged particles, as seen for example by the integer and fractionally quantized Hall effects, and the fractal `Hofstadter butterfly' spectrum of electrons in the presence of a…

Mesoscale and Nanoscale Physics · Physics 2023-12-19 Jie Wang , Jiawei Zang , Jennifer Cano , Andrew J. Millis

In twisted bilayer graphene (TBG) a moir\'e pattern forms that introduces a new length scale to the material. At the 'magic' twist angle of 1.1{\deg}, this causes a flat band to form, yielding emergent properties such as correlated…

Moir\'e systems have emerged in recent years as a rich platform to study strong correlations. Here, we will discuss a simple, experimentally feasible setup based on periodically strained graphene that reproduces several key aspects of…

Mesoscale and Nanoscale Physics · Physics 2022-11-03 Qiang Gao , Junkai Dong , Patrick Ledwith , Daniel Parker , Eslam Khalaf

Twisted van der Waals heterostructures have latterly received prominent attention for their many remarkable experimental properties, and the promise that they hold for realising elusive states of matter in the laboratory. We propose that…

Motivated by the rich topology and interesting quasi-band structure of twisted moire materials subjected to light, we study a non-twisted moire material under the influence of light. Our work is in part motivated by a desire to find an…

Mesoscale and Nanoscale Physics · Physics 2025-11-07 Saud Alabdulal , Miftah Hadi Syahputra Anfa , Hocine Bahlouli , Michael Vogl

Moir\'e structures in van der Waals heterostructures lead to emergent phenomena including superconductivity in twisted bilayer graphene and optically accessible strongly-correlated electron states in transition metal dichalcogenide…

Mesoscale and Nanoscale Physics · Physics 2020-09-17 Liam P. McDonnell , Jacob J. S. Viner , Pasqual Rivera , Antonio Cammarata , Huseyin S. Sen , Xiaodong Xu , David C. Smith

Hybrid organic/inorganic interfaces have been widely reported to host emergent properties that go beyond those of their single constituents. Coupling molecules to the recently discovered topological insulators, which possess a linearly…

Materials Science · Physics 2016-01-20 Paolo Sessi , Thomas Bathon , Konstantin K. Kokh , Oleg E. Tereshchenko , Matthias Bode

The moir\'e superlattices formed by stacking 2D semiconducting transition metal dichalcogenides (TMDs) with twisting angle or lattice mismatch have provided a versatile platform with unprecedented tunability for exploring many frontier…

Mesoscale and Nanoscale Physics · Physics 2025-08-07 Dawei Zhai , Hongyi Yu , Wang Yao

The interplay between strong correlations and non-trivial topology in twisted moir\'e systems can give rise to a rich landscape of ordered states that intertwine the spin, valley, and charge degrees of freedom. In this paper, we investigate…

Strongly Correlated Electrons · Physics 2023-03-22 Ipsita Mandal , Rafael M. Fernandes

Moir\'e-pattern based potential engineering has become an important way to explore exotic physics in a variety of two-dimensional condensed matter systems. While these potentials have induced correlated phenomena in almost all commonly…

Mesoscale and Nanoscale Physics · Physics 2024-03-19 Mohammed M. Al Ezzi , Junxiong Hu , Ariando , Francisco Guinea , Shaffique Adam

Reconfigurable optics, optical systems that have a dynamically tunable configuration, are emerging as a new frontier in photonics research. Recently, twisted moir\'e photonic crystal has become a competitive candidate for implementing…

A number of moir\'e graphene systems have nearly flat topological bands where electron motion is strongly correlated. Though microscopically these systems are only quasiperiodic, they can typically be treated as translation invariant to an…

Mesoscale and Nanoscale Physics · Physics 2021-03-10 Dan Mao , T. Senthil

Second-order topological insulators can be characterized by their bulk polarization, which is believed to be intrinsically connected to the center of the Wannier function. In this study, we demonstrate the existence of second-order…

Mesoscale and Nanoscale Physics · Physics 2024-05-06 Zhenzhen Liu , Xiaoxi Zhou , Guochao Wei , Lei Gao , Bo hou , Jun-Jun Xiao

The discovery of correlated phases in twisted moir\'e superlattices accelerated the search for low-dimensional materials with exotic properties. A promising approach uses engineered substrates to strain the material. However, designing…

Mesoscale and Nanoscale Physics · Physics 2023-08-25 Md Tareq Mahmud , Dawei Zhai , Nancy Sandler

The advent of novel nonlinear materials has stirred unprecedented interest in exploring the use of temporal inhomogeneities to achieve novel forms of wave control, amidst the greater vision of engineering metamaterials across both space and…

Optics · Physics 2022-11-24 Emanuele Galiffi , Shixiong Yin , Andrea Alù