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We demonstrate that the concept of moir\'e flat bands can be generalized to achieve electronic band engineering in all three spatial dimensions. For many two dimensional van der Waals materials, twisting two adjacent layers with respect to…

Materials Science · Physics 2021-11-05 Lede Xian , Ammon Fischer , Martin Claassen , Jin Zhang , Angel Rubio , Dante M. Kennes

In photonics, twisted bi-layer systems have demonstrated unprecedented control over light-matter interactions, primarily through the modulation of photonic band structures and the formation of Moir\'e patterns. Meanwhile, magnetic photonic…

Optics · Physics 2025-10-10 You-Ming Liu , Shi-Kai Lin , Pei-Shi Li , Yi-Ran Hao , Biao Yang

This paper is intended to investigate the relation between electrodynamics in anisotropic material media and its analogous formulation in an spacetime, with non-null Riemann curvature tensor. After discussing the electromagnetism via chiral…

Classical Physics · Physics 2008-07-11 R. da Rocha , I. L. Freire

We characterise the dynamics of electrons in twisted bilayer graphene by analysing the time-evolution of electron waves in the atomic lattice. We perform simulations based on a kernel polynomial technique using Chebyshev polynomial; this…

Mesoscale and Nanoscale Physics · Physics 2019-04-24 H. Nam Do , H. Anh Le , D. Bercioux

In van der Waals heterostructures, electronic bands of two-dimensional (2D) materials, their nontrivial topology, and electron-electron interactions can be dramatically changed by a moire pattern induced by twist angles between different…

The localization of waves in two-dimensional clusters of scatterers arranged in relatively twisted lattices is studied by multiple scattering theory. It is found that, for a given frequency, it is always possible to find localized modes for…

Materials Science · Physics 2021-01-20 Dani Torrent , Marc Martí-Sabaté

Metamaterials and metasurfaces are designed by periodically arranged subwavelength geometries, allowing a tailored manipulation of the electromagnetic response of matter. Here, we exploit temporal variations of permittivity inside…

Optics · Physics 2025-09-24 Victor Pacheco-Peña , Nader Engheta

The ability in experiments to control the relative twist angle between successive layers in two-dimensional (2D) materials offers a new approach to manipulating their electronic properties; we refer to this approach as "twistronics". A…

Mesoscale and Nanoscale Physics · Physics 2017-02-22 Stephen Carr , Daniel Massatt , Shiang Fang , Paul Cazeaux , Mitchell Luskin , Efthimios Kaxiras

Twistronics has received much attention as a new method to manipulate the properties of 2D van der Waals structures by introducing moir\'e patterns through a relative rotation between two layers. Here we begin a theoretical exploration of…

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…

We study the energies and optical spectra of excitons in twisted bilayers of anisotropic van der Waals semiconductors exhibiting moir\'e patterns, taking phosphorene as a case study. Following the electronic Hamiltonian introduced by us in…

Mesoscale and Nanoscale Physics · Physics 2023-08-08 Isaac Soltero , David A. Ruiz-Tijerina

The engineering of the optical properties of materials in space and time is opening further directions and possibilities to control wave propagation in four dimensions (x,y,z,t). A key example of such modulations are time interfaces where…

Optics · Physics 2026-04-14 Andrew M. Naylor , Victor Pacheco-Peña

Wave phenomena in bianisotropic media have been broadly scrutinized in classical electrodynamics, as these media offer additional degrees of freedom to engineer electromagnetic waves. However, all investigations concerning such systems have…

Optics · Physics 2023-11-02 M. S. Mirmoosa , M. H. Mostafa , A. Norrman , S. A. Tretyakov

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

Studies of moire systems have elucidated the exquisite effect of quantum geometry on the electronic bands and their properties, leading to the discovery of new correlated phases. However, most experimental studies have been confined to a…

Mesoscale and Nanoscale Physics · Physics 2023-12-19 Zhurun Ji , Yuzhou Zhao , Yicong Chen , Ziyan Zhu , Yuhui Wang , Wenjing Liu , Gaurav Modi , Eugene J. Mele , Song Jin , Ritesh Agarwal

We investigate the reflection and refraction behaviors of electromagnetic waves at the interface between an isotropic material and the anisotropic medium with a unique dispersion relation. We show that the refraction angle of whether phase…

Optics · Physics 2009-11-11 Weixing Shu , Hailu Luo , Fei Li , Zhongzhou Ren

Heterostructures of transition metal dichalcogenides (TMDs) offer unique opportunities in optoelectronics due to their strong light-matter interaction and the formation of dipolar interlayer excitons. Introducing a twist angle or lattice…

Optics · Physics 2025-09-16 Giuseppe Meneghini , Samuel Brem , Ermin Malic

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…

Twisted bilayer graphene displays many fascinating properties that can be tuned by varying the relative angle (also called twist angle) between its monolayers. As a remarkable feature, both the electronic flat bands and the corresponding…

Materials Science · Physics 2022-05-06 V. Hung Nguyen , Trinh X. Hoang , J. -C. Charlier

Advances in material fabrication techniques and growth methods have opened up a new chapter for twistronics, in the form of twisted freestanding three-dimensional material membranes. Through first-principles calculations based on density…

Materials Science · Physics 2025-06-06 Seungjun Lee , D. J. P. de Sousa , Bharat Jalan , Tony Low