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Related papers: Ab initio tight-binding Models for Mono- and Bilay…

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We calculate the interactions between the Wannier functions of the 8-orbital model for twisted bilayer graphene (TBG). In this model, two orbitals per valley centered at the AA regions, the AA-p orbitals, account for the most part of the…

Strongly Correlated Electrons · Physics 2020-11-04 M. J. Calderón , E. Bascones

Many of the important phases observed in twisted transition metal dichalcogenide homobilayers are driven by short-range interactions, which should be captured by a local tight binding description since no Wannier obstruction exists for…

Strongly Correlated Electrons · Physics 2024-10-02 Valentin Crépel , Andrew Millis

Rational design of artificial lattices yields effects unavailable in simple solids, and vertical superlattices of multilayer semiconductors are already used in optical sensors and emitters. Manufacturing lateral superlattices remains a much…

We propose a new class of tight-binding models where a flat band is either gapped from or crossing right through a dispersive band on two-band (i.e., two sites/unit cell) tetragonal and honeycomb lattices. By imposing a condition on the…

Materials Science · Physics 2017-10-27 Tatsuhiro Misumi , Hideo Aoki

It is widely known that the twisted bilayer graphene (TBG) shows flat bands at magic angles, which can be well described by the effective continuum model derived by Bistritzer and MacDonald (BM). We propose in this paper a similar twisted…

Mesoscale and Nanoscale Physics · Physics 2022-04-22 Y. Soeda , K. Asaga , T. Fukui

Using the method developed in the companion paper, we construct the effective continuum theories for two different microscopic tight binding models of the twisted bilayer graphene at the twist angle of $1.05^\circ$, one Slater-Koster based…

Strongly Correlated Electrons · Physics 2023-02-24 Jian Kang , Oskar Vafek

Hexagonal boron nitride (h-BN) is a promising two-dimensional insulator with a large band gap and low density of charged impurities that is isostructural and isoelectronic with graphene. Here we report the chemical and atomic-scale…

Twisted moir\'e supercells, which can be approximated as a combination of sliding bilayers and constitute various topologically nontrivial polarization patterns, attract extensive attention recently. However, because of the excessive size…

The interlayer sliding energy landscape of hexagonal boron nitride (h-BN) is investigated via a van der Waals corrected density functional theory approach. It is found that the main role of the van der Waals forces is to "anchor" the layers…

We report intriguing and hitherto overlooked low-field room temperature extremely large magnetoresistance (XMR) patterns in graphene/hexagonal boron nitride (h-BN) superlattices that emerge due to the existence of open orbits within each…

Motivated by recent studies that reported the successful synthesis of monolayer Mg(OH)$_{2}$ [Suslu \textit{et al.}, Sci. Rep. \textbf{6}, 20525 (2016)] and hexagonal (\textit{h}-)AlN [Tsipas \textit{et al}., Appl. Phys. Lett. \textbf{103},…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 C. Bacaksiz , A. Dominguez , A. Rubio , R. T. Senger , H. Sahin

Hexagonal boron nitride (hBN) is a wide band gap, van der Waals material that is highly promising for solid-state quantum technologies as a host of optically addressable, paramagnetic spin defects. Intrinsic and extrinsic point defects…

Quantum Physics · Physics 2025-09-12 Petros-Panagis Filippatos , Tom J. P. Irons , Katherine Inzani

Lateral superlattices in 2D materials are emerging as a powerful platform for exploring novel quantum phenomena, which can be realized through the proximity coupling in forming moir\'e pattern with another layer. This approach, however, is…

Mesoscale and Nanoscale Physics · Physics 2021-04-14 Pei Zhao , Chengxin Xiao , Wang Yao

Tight-binding models provide great insight and are a low-cost alternative to \emph{ab initio} methods for calculation of a material's electronic structure. These models are used to calculate optical responses, including nonlinear optical…

Materials Science · Physics 2025-09-29 Andreas Ghosh , Aaron M. Schankler , Andrew M. Rappe

We examine the origin of the formation of narrow bands in LK-99 (Pb$_{9}$Cu(PO$_4$)$_6$O) and the parent compound without the Cu doping using density functional theory calculations and model Hamiltonian studies. Explicit analytical…

Superconductivity · Physics 2023-08-28 Mayank Gupta , S. Satpathy , B. R. K. Nanda

We perform extensive first-principles calculations for heterostructures composed of monolayer graphene and hexagonal boron nitride (hBN). Employing a symmetry-derived minimal tight-binding model, we extract orbital and spin-orbit coupling…

Mesoscale and Nanoscale Physics · Physics 2019-03-29 Klaus Zollner , Martin Gmitra , Jaroslav Fabian

Hexagonal boron nitride (hBN) has emerged as a promising material platform for nanophotonics and quantum sensing, hosting optically-active defects with exceptional properties such as high brightness and large spectral tuning. However,…

In this work, we present an empirical force field for hexagonal boron nitride (hBN) monolayers, derived via a bottom-up strategy from first principles calculations. We aim to deliver a simple analytical force field for boron nitride which…

Mesoscale and Nanoscale Physics · Physics 2025-05-06 Aristotelis P. Sgouros , Markos Arapchatzis , Nektarios N. Lathiotakis , Konstantinos Papagelis , George Kalosakas

Interlayer electron transport through a graphene / hexagonal boron-nitride (h-BN) / graphene heterostructure is strongly affected by the misorientation angle $\theta$ of the h-BN with respect to the graphene layers with different physical…

Twisted bilayer graphene (tBLG) forms a quasicrystal whose structural and electronic properties depend on the angle of rotation between its layers. Here we present a scanning tunneling microscopy study of gate-tunable tBLG devices supported…