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Theoretical progress in graphene physics has largely relied on the application of a simple nearest-neighbor tight-binding model capable of predicting many of the electronic properties of this material. However, important features that…

Mesoscale and Nanoscale Physics · Physics 2019-04-03 Z. M. Abd El-Fattah , M. A. Kher-Elden , I. Piquero-Zulaica , F. J. Garcia de Abajo , J. E. Ortega

When two-dimensional crystals are brought into close proximity, their interaction results in strong reconstruction of electronic spectrum and local crystal structure. Such reconstruction strongly depends on the twist angle between the two…

Mesoscale and Nanoscale Physics · Physics 2025-10-27 C. R. Woods , P. Ares , H. Nevison-Andrews , M. J. Holwill , R. Fabregas , F. Guinea , A. K. Geim , K. S. Novoselov , N. R. Walet , L. Fumagalli

Motivated by the recent observation of correlated insulator states and unconventional superconductivity in twisted bilayer graphene, we study the dependence of electron correlations on the twist angle and reveal the existence of strong…

Strongly Correlated Electrons · Physics 2019-09-18 Zachary A. H. Goodwin , Fabiano Corsetti , Arash A. Mostofi , Johannes Lischner

We present a model of the electronic properties of monolayer transition-metal dichalcogenides based on a tight binding approach which includes the effects of strain and curvature of the crystal lattice. Mechanical deformations of the…

Mesoscale and Nanoscale Physics · Physics 2016-10-14 Alexander J. Pearce , Eros Mariani , Guido Burkard

We present an accurate \textit{ab-initio} tight-binding hamiltonian for the transition-metal dichalcogenides, MoS$_2$, MoSe$_2$, WS$_2$, WSe$_2$, with a minimal basis (the \textit{d} orbitals for the metal atoms and \textit{p} orbitals for…

Mesoscale and Nanoscale Physics · Physics 2015-11-09 Shiang Fang , Rodrick Kuate Defo , Sharmila N. Shirodkar , Simon Lieu , Georgios A. Tritsaris , Efthimios Kaxiras

Among exciting recent advances in the field of two-dimensional (2D) materials, the successful fabrications of the C60 fullerene networks has been a particularly inspiring accomplishment. Motivated by the recent achievements, herein we…

Materials Science · Physics 2023-08-11 Bohayra Mortazavi , Yves Remond , Hongyuan Fang , Timon Rabczuk , Xiaoying Zhuang

The tight-binding model of electrons in graphene is reviewed. We derive low-energy Hamiltonians supporting massless Dirac-like chiral fermions and massive chiral fermions in monolayer and bilayer graphene, respectively, and we describe how…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Edward McCann

An application of the tight binding approximation is presented for the description of electronic structure and interatomic force in magnetic iron, both pure and containing hydrogen impurities. We assess the simple canonical d-band…

Materials Science · Physics 2015-05-19 A. T. Paxton , C. Elsaesser

In this study, we highlight the potential of strain engineering in graphene/hBN (hexagonal Boron nitride) 2D heterostructures, enabling their use as wide-range light absorbers with significant implications for optoelectronic applications.…

Mesoscale and Nanoscale Physics · Physics 2024-07-17 Priyanka Sinha , Prasanta K. Panigrahi , Bheemalingam Chittari

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…

Using density functional theory, we determine parameters of tight-binding Hamiltonians for a variety of Fabre charge transfer salts, focusing in particular on the effects of temperature and pressure. Besides relying on previously published…

Strongly Correlated Electrons · Physics 2013-04-25 A. C. Jacko , H. Feldner , E. Rose , F. Lissner , M. Dressel , Roser Valentí , Harald O. Jeschke

A computationally efficient workflow for obtaining the low-energy symmetric tight-binding Hamiltonians for twisted multilayer systems is presented in this work. We apply this scheme to twisted bilayer graphene at the first magic angle. As…

Strongly Correlated Electrons · Physics 2022-11-24 Arkadiy Davydov , Kenny Choo , Mark H. Fischer , Titus Neupert

We performed calculations of electronic, optical and transport properties of graphene on hBN with realistic moir\'e patterns. The latter are produced by structural relaxation using a fully atomistic model. This relaxation turns out to be…

Mesoscale and Nanoscale Physics · Physics 2015-11-05 G. J. Slotman , M. M. van Wijk , Pei-Liang Zhao , A. Fasolino , M. I. Katsnelson , Shengjun Yuan

Experiments on hexagonal graphene-like structures using microwave measuring techniques are presented. The lowest transverse-electric resonance of coupled dielectric disks sandwiched between two metallic plates establishes a tight-binding…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 S. Barkhofen , M. Bellec , U. Kuhl , F. Mortessagne

Current interest in two-dimensional materials extends from graphene to others systems like single-layer hexagonal boron-nitride (h-BN), for the possibility of making heterogeneous structures to achieve exceptional properties that cannot be…

Materials Science · Physics 2013-09-04 Jiangtao Wu , Baolin Wang , Yujie Wei , Ronggui Yang , Mildred Dresselhaus

Using density-functional theory and a tight-binding approach we investigate the physical origin of distinct favourable geometries of adsorbed hydrogen atoms in various graphyne structures, and the relation with electronic properties. In…

Materials Science · Physics 2014-02-07 Hunpyo Lee , Jahyun Koo , Massimo Capone , Yongkyung Kwon , Hoonkyung Lee

Mathematical descriptions of the interplay between strong electron correlations and lattice degrees of freedom are of enormous importance in the development of new devices based on metal oxides such as VO$_{2}$ and the Cuprate…

Strongly Correlated Electrons · Physics 2020-12-03 Jamie M Booth

The experimental observations of many interaction-driven electronic phases in moir\'e superlattices have stimulated intense theoretical and experimental efforts to understand and engineer these correlated physics. Strain is a powerful tool…

Mesoscale and Nanoscale Physics · Physics 2026-03-11 Federico Escudero , Francisco Guinea , Zhen Zhan

Although the strongly interacting flat bands in twisted bilayer graphene (TBG) have been approached using the minimal Bistritzer-MacDonald (BM) Hamiltonian, there is mounting evidence that strain and lattice relaxation are essential in…

Mesoscale and Nanoscale Physics · Physics 2025-09-26 Jonah Herzog-Arbeitman , Jiabin Yu , Dumitru Călugăru , Haoyu Hu , Nicolas Regnault , Oskar Vafek , Jian Kang , B. Andrei Bernevig

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