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Related papers: Tight-binding approach to penta-graphene

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An electrodynamic response of graphene to a strong electromagnetic radiation is considered. A hot electron model (HEM) is introduced and a corresponding system of nonlinear equations is formulated. Solutions of this system are found and…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 S. A. Mikhailov

We study a Hubbard hamiltonian, including a quite general nearest-neighbor interaction, parametrized by repulsion V, exchange interactions Jz, Jperp, bond-charge interaction X and hopping of pairs W. The case of correlated hopping, in which…

Superconductivity · Physics 2009-10-31 A. A. Aligia , Liliana Arrachea

We develop an analytical scattering formalism for computing the transmittance through periodic defect lines within the tight-binding model of graphene. We first illustrate the method with a relatively simple case, the pentagon-only defect…

Mesoscale and Nanoscale Physics · Physics 2013-07-17 J. N. B. Rodrigues , N. M. R. Peres , J. M. B. Lopes dos Santos

We introduce and solve a two-band model of spinless fermions with $p_x$-wave pairing on a square lattice. The model reduces to the well-known extended Harper-Hofstadter model with half-flux quanta per plaquette and weakly coupled Kitaev…

Superconductivity · Physics 2021-01-04 Haiping Hu , Erhai Zhao , Indubala I. Satija

A new supersymmetric model for electrons with generalized hopping terms and Hubbard interaction on a one-dimensional lattice is solved by means of the Bethe Ansatz. We investigate the phase diagram of this model by studying the ground state…

Condensed Matter · Physics 2009-10-28 Gerald Bedürftig , Holger Frahm

Graphene, a two-dimensional monolayer of sp2-bonded carbon atoms in a honeycomb lattice, possesses exceptional electronic, mechanical, and quantum properties, making it highly attractive for energy storage, spintronics, and…

Materials Science · Physics 2025-12-30 Chien-Hsu Chen , Huan Niu , Hung-Kai Yu , Tsung Te Lin , Yao-Tung Hsu

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 propose twisted homobilayer of a carbon allotrope, C$_{568}$, to be a promising platform to realize controllable square lattice single-band extended Hubbard model. This setup has the advantage of a widely tunable $t'/t$ ratio without…

Strongly Correlated Electrons · Physics 2025-09-11 Toshikaze Kariyado , Ashvin Vishwanath , Zhu-Xi Luo

We show that a two-band model with ${\bf k}$-dependent superconducting gaps well describes the transmission and optical conductivity measured for MgB$_2$ thin films. It is also shown that the two-band anisotropic model consistently…

Superconductivity · Physics 2009-11-10 Takashi Yanagisawa , Hajime Shibata

A simple model which combines tight-binding (TB) approximation with parameters derived from first principle calculations is developed for studying the influence of edge passivation and uniaxial strain on electron effective mass of armchair…

Mesoscale and Nanoscale Physics · Physics 2014-06-06 Benjamin O. Tayo

The metal atoms, the alkali ones excepted, might provide the multiple outermost orbitals for the multi-orbital hybridizations with the out-of-plane $\pi$ bondings on the honeycomb lattice. This will dominate the fundamental properties of…

Mesoscale and Nanoscale Physics · Physics 2018-06-15 S. Y. Lin , M. F. Lin

We give a self contained review of a recently developed strong coupling theory of magic-angle graphene. An advantage of this approach is that a single formulation can capture both the insulating and superconducting states, and with a few…

Strongly Correlated Electrons · Physics 2021-12-21 Patrick J. Ledwith , Eslam Khalaf , Ashvin Vishwanath

In recent years, various doping methods for epitaxial graphene have been demonstrated through atom substitution and adsorption. Here we observe by angle-resolved photoemission spectroscopy (ARPES) a coupling-induced Dirac cone…

In this paper, we develop an accurate and efficient framework for computing subwavelength guided modes in high-contrast periodic media with line defects, based on a tight-binding approximation. The physical problem is formulated as an…

Mathematical Physics · Physics 2026-01-21 Habib Ammari , Erik Orvehed Hiltunen , Ping Liu , Borui Miao , Yi Zhu

We analytically calculate the nuclear-spin interactions of a single electron confined to a carbon nanotube or graphene quantum dot. While the conduction-band states in graphene are p-type, the accordant states in a carbon nanotube are…

Mesoscale and Nanoscale Physics · Physics 2009-10-02 Jan Fischer , Bjoern Trauzettel , Daniel Loss

We show that the many-body features of graphene band structure and electronic response can be accurately evaluated by applying many-body perturbation theory to a tight-binding (TB) model. In particular, we compare TB results for the optical…

Atomic and Molecular Clusters · Physics 2025-06-10 Alberto Guandalini , Giovanni Caldarelli , Francesco Macheda , Francesco Mauri

In this paper we introduce a new structure similar to the graphane which we call it penta graphane. This structure is obtained by adding hydrogen to penta graphene bond. We study the electronic and phononic structure of penta graphane. We…

Mesoscale and Nanoscale Physics · Physics 2018-06-27 H. Einollahzadeh , R. S. Dariani , S. M. Fazeli

The abundant bonding possibilities of Carbon stimulate the design of numerous carbon allotropes, promising the foundation for exploring structure-functionality relationships. Herein, utilizing the space bending strategy, we successfully…

Atomic Physics · Physics 2024-01-25 Linfeng Yu , Yi Zhang , Jianzhou Lin , Kexin Dong , Xiong Zheng , Zhenzhen Qin , Guangzhao Qin

Weak-coupling phenomena of the two-dimensional Hubbard model is gaining momentum as a new interesting research field due to its extraordinarily rich behavior as a function of the carrier density and model parameters. Salmhofer [{\it Commun.…

Mesoscale and Nanoscale Physics · Physics 2021-06-16 Sushant Kumar Behera , Madhavi Ahalawat , Subrata Jana , Prasanjit Samal , Pritam Deb

It is commonly believed that weak light-matter interactions in low-mobility graphene dramatically limits tunability of graphene-based optoelectronic devices, such as tunable absorbers or switches. In this paper, we develop and use a simple…

Optics · Physics 2018-12-11 Xuchen Wang , Sergei A. Tretyakov
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