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Large scale two-dimensional (2D) moir\'e superlattices are driving a revolution in designer quantum materials. The electronic interactions in these superlattices, strongly dependent on the periodicity and symmetry of the moir\'e pattern,…

Mesoscale and Nanoscale Physics · Physics 2022-07-26 M. Kögl , P. Soubelet , M. Brotons-Gisbert , A. V. Stier , B. D. Gerardot , J. J. Finley

In recent years, materials with topological flat bands have attracted significant attention due to their association with extraordinary transport properties and strongly correlated electrons. Yet, generic principles linking lattice…

Strongly Correlated Electrons · Physics 2025-07-25 Shivam Sharma , Amartya S. Banerjee

The interplay of twist and strain in bilayer graphene enables the formation of moir\'e patterns and narrow bands that host correlated and topological phases. While magic-angle twisted bilayer graphene has been widely studied, strain…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 Federico Escudero , Dong Wang , Pierre A. Pantaleón , Shengjun Yuan , Francisco Guinea , Zhen Zhan

The electronic implications of strain in graphene can be captured at low energies by means of pseudovector potentials which can give rise to pseudomagnetic fields. These strain-induced vector potentials arise from the local perturbation to…

Mesoscale and Nanoscale Physics · Physics 2013-04-15 Alexander L. Kitt , Vitor M. Pereira , Anna K. Swan , Bennett B. Goldberg

Under the application of a force, a material will deform and, hence, the crystal lattice will experience strain. This induced strain will alter the electronic properties of the material. In particular, strain in graphene generates an…

Mesoscale and Nanoscale Physics · Physics 2014-07-08 J. A. Crosse

We investigate the electromechanical coupling in 2d materials. For non-Bravais lattices, we find important corrections to the standard macroscopic strain - microscopic atomic-displacement theory. We put forward a general and systematic…

Mesoscale and Nanoscale Physics · Physics 2016-02-03 Daniel Midtvedt , Caio H. Lewenkopf , Alexander Croy

Modulation of electronic states in two-dimensional (2D) materials can be achieved by using in-plane variations of the band gap or the average potential in lateral quantum structures. In the atomic configurations with hexagonal symmetry,…

Mesoscale and Nanoscale Physics · Physics 2016-08-10 Feng-Wu Chen , Mei-Yin Chou , Yiing-Rei Chen , Yu-Shu Wu

Group theory analysis for two-dimensional elemental systems related to phosphorene is presented, including (i) graphene, silicene, germanene and stanene, (ii) dependence on the number of layers and (iii) two stacking arrangements. Departing…

Mesoscale and Nanoscale Physics · Physics 2016-08-10 J. Ribeiro-Soares , R. M. Almeida , L. G. Cançado , M. S. Dresselhaus , A. Jorio

Several numerical studies have shown that the electronic properties of twisted bilayers of graphene (TBLG) and transition metal dichalcogenides (TMDs) are tunable by strain engineering of the stacking layers. In particular, the flatness of…

Mesoscale and Nanoscale Physics · Physics 2023-07-24 Marwa Mannaï , Sonia Haddad

We derive electronic tight-binding Hamiltonians for strained graphene, hexagonal boron nitride and transition metal dichalcogenides based on Wannier transformation of {\it ab initio} density functional theory calculations. Our microscopic…

Mesoscale and Nanoscale Physics · Physics 2018-08-14 Shiang Fang , Stephen Carr , Miguel A. Cazalilla , Efthimios Kaxiras

We theoretically investigate the quantum reflection of different atoms by two-dimensional (2D) materials of the graphene family (silicene, germanene, and stanene), subjected to an external electric field and circularly polarized light. By…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 P. P. Abrantes , Tarik P. Cysne , D. Szilard , F. S. S. Rosa , F. A. Pinheiro , C. Farina

Strain engineering is a promising approach for suppressing the OFF-state conductance in graphene-based devices that arises from Klein tunnelling. In this work, we derive a comprehensive tight-binding Hamiltonian for strained graphene that…

Mesoscale and Nanoscale Physics · Physics 2021-08-25 Maverick Chauwin , Zhuo Bin Siu , Mansoor Bin Abdul Jalil

Strain, both naturally occurring and deliberately engineered, can have a considerable effect on the structural and electronic properties of 2D and layered materials. Uniaxial or biaxial heterostrain modifies the stacking arrangement of…

Materials Science · Physics 2022-10-19 Nina C. Georgoulea , Stephen R. Power , Nuala M. Caffrey

A theory for conduction electron scattering by inhomogeneous crystal lattice strains is developed, based on the differential geometric treatment of deformations in solids. The resulting fully covariant Schr\"odinger equation shows that the…

Materials Science · Physics 2015-02-02 Koushik Viswanathan , Srinivasan Chandrasekar

In this review, we present recent works on materials whose common point is the presence of electronic bands of very low dispersion, called "flat bands", which are due to specific atomic order effects without electron interactions. These…

This review presents the state of the art in strain and ripple-induced effects on the electronic and optical properties of graphene. It starts by providing the crystallographic description of mechanical deformations, as well as the…

Mesoscale and Nanoscale Physics · Physics 2017-08-22 Gerardo G. Naumis , Salvador Barraza-Lopez , Maurice Oliva-Leyva , Humberto Terrones

Two-dimensional materials (2DMs) are fundamentally electro-mechanical systems. Their environment unavoidably strains them and modifies their quantum transport properties. For instance, a simple uniaxial strain could completely turn off the…

Mesoscale and Nanoscale Physics · Physics 2024-04-30 A. C. McRae , G. Wei , L. Huang , S. Yigen , V. Tayari , A. R. Champagne

Spintronics has become a broad and important research field that intersects with magnetism, nano-electronics, and materials science. Its overarching aim is to provide a fundamental understanding of spin-dependent phenomena in solid-state…

Mesoscale and Nanoscale Physics · Physics 2025-04-29 David T. S. Perkins , Aires Ferreira

Strain fields, dislocations and defects may be used to control electronic properties of graphene. By using advanced imaging techniques with high-resolution transmission electron microscopes, we have measured the strain and rotation fields…

Mesoscale and Nanoscale Physics · Physics 2015-10-20 L. L. Bonilla , A. Carpio , C. Gong , J. H. Warner

The analysis of the electronic properties of strained or lattice deformed graphene combines ideas from classical condensed matter physics, soft matter, and geometrical aspects of quantum field theory (QFT) in curved spaces. Recent…

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