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Using full-potential density functional theory (DFT) calculations, we found a small asymmetry in the Fermi velocity of electrons and holes in graphene. These Fermi velocity values and their average were found to decrease with increasing…

Mesoscale and Nanoscale Physics · Physics 2013-02-08 Harihar Behera , Gautam Mukhopadhyay

The computation of the optical conductivity of strained and deformed graphene is discussed within the framework of quantum field theory in curved spaces. The analytical solutions of the Dirac equation in an arbitrary static background…

Materials Science · Physics 2015-12-01 W. de Paula , a. Chaves , O. Oliveira , T. Frederico

Nonuniform strain in graphene induces a position dependence of the Fermi velocity, as recently demonstrated by scanning tunnelling spectroscopy experiments. In this work, we study the effects of a position-dependent Fermi velocity on the…

Mesoscale and Nanoscale Physics · Physics 2018-07-09 M. Oliva-Leyva , J. E. Barrios-Vargas , Chumin Wang

We consider the effect of the Coulomb interaction in strained graphene using tight-binding approximation together with the Hartree-Fock interactions. The many-body energy dispersion relation, anisotropic Fermi velocity renormalization and…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 H. Rostami , Reza Asgari

The relevance of the strain-induced Dirac point shift to obtain the appropriate anisotropic Fermi velocity of strained graphene is demonstrated. Then a critical revision of the available effective Dirac Hamiltonians is made by studying in…

Mesoscale and Nanoscale Physics · Physics 2015-09-01 M. Oliva-Leyva , Gerardo G. Naumis

We investigate the low energy continuum limit theory for electrons in a graphene sheet under strain. We use the quantum field theory in curved spaces to analyze the effect of the system deformations into an effective gauge field. We study…

Mesoscale and Nanoscale Physics · Physics 2015-12-15 Enrique Arias , Alexis R. Hernández , Caio Lewenkopf

A continuum model to study the influence of dislocations on the electronic properties of condensed matter systems is described and analyzed. The model is based on a geometrical formalism that associates a density of dislocations with the…

Mesoscale and Nanoscale Physics · Physics 2012-03-22 Fernando de Juan , Alberto Cortijo , María A. H. Vozmediano

Recent studies show that periodic potentials can generate superlattice Dirac points at energies in graphene (is the Fermi velocity of graphene and G is the reciprocal superlattice vector). Here, we perform scanning tunneling microscopy and…

Mesoscale and Nanoscale Physics · Physics 2013-02-21 Hui Yan , Zhao-Dong Chu , Wei Yan , Mengxi Liu , Lan Meng , Mudan Yang , Yide Fan , Jiang Wang , Rui-Fen Dou , Yanfeng Zhang , Zhongfan Liu , Jia-Cai Nie , Lin He

We study uniaxially strained graphene under the influence of non-uniform magnetic fields perpendicular to the material sample with a coordinate independent strain tensor. For that purpose, we solve the Dirac equation with anisotropic Fermi…

Strongly Correlated Electrons · Physics 2018-06-12 Yajaira Concha Sanchez , Adolfo Huet , Alfredo Raya , David Valenzuela

The Fermi velocity is one of the key concepts in the study of a material, as it bears information on a variety of fundamental properties. Upon increasing demand on the device applications, graphene is viewed as a prototypical system for…

Mesoscale and Nanoscale Physics · Physics 2012-08-21 Choongyu Hwang , David A. Siegel , Sung-Kwan Mo , William Regan , Ariel Ismach , Yuegang Zhang , Alex Zettl , Alessandra Lanzara

The low energy excitations of graphene can be described by a massless Dirac equation in two spacial dimensions. Curved graphene is proposed to be described by coupling the Dirac equation to the corresponding curved space. This covariant…

Strongly Correlated Electrons · Physics 2009-11-13 Maria A. H. Vozmediano , Fernando de Juan , Alberto Cortijo

We generalize the scalable tight-binding model for graphene, which allows for efficient quantum transport simulations in the Dirac regime, to account for elastic strain. We show that the original scalable model with scaling factor $s$ is…

Mesoscale and Nanoscale Physics · Physics 2026-05-28 Ming-Hao Liu , Christophe De Beule , Alina Mreńca-Kolasińska , Hsin-You Wu , Aitor Garcia-Ruiz , Denis Kochan , Klaus Richter

The behavior of electrons in strained graphene is usually described using effective pseudomagnetic fields in a Dirac equation. Here we consider the particular case of a spatially constant strain. Our results indicate that lattice…

Mesoscale and Nanoscale Physics · Physics 2013-09-10 M. Oliva-Leyva , G. G. Naumis

We consider systems described by the two-dimensional Dirac equation where the Fermi velocity is inhomogeneous as a consequence of mechanical deformations. We show that the mechanical deformations can lead to deflection and focusing of the…

Mesoscale and Nanoscale Physics · Physics 2021-11-23 Alonso Contreras-Astorga , Vit Jakubsky , Alfredo Raya

The quantum Hall effect in curved space has been the subject of many theoretical investigations in the past, but devising a physical system to observe this effect is hard. Many works have indicated that electronic excitations in strained…

Strongly Correlated Electrons · Physics 2026-03-20 Glenn Wagner , Fernando de Juan , Dung X. Nguyen

Electron group velocity for graphene under uniform strain is obtained analitically by using the Tight-Binding approx- imation. Such closed analytical expressions are useful in order to calculate electronic, thermal and optical properties of…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 Wilfrido A. Gómez-Arias , Gerardo G. Naumis

In this work we compare two fundamentally different approaches to the electronic transport in deformed graphene: a) the condensed matter approach in which current flow paths are obtained by applying the non-equilibrium Green's function…

Mesoscale and Nanoscale Physics · Physics 2016-05-23 Thomas Stegmann , Nikodem Szpak

Motivated by very recent studies of Coulomb drag in grahene-BN-graphene system we develop a theory of Coulomb drag for the Fermi liquid regime, for the case when the ratio of spacer thickness $d$ to the Fermi wavelength of electrons is…

Mesoscale and Nanoscale Physics · Physics 2011-07-26 M. I. Katsnelson

The framework of locally covariant quantum field theory, an axiomatic approach to quantum field theory in curved spacetime, is reviewed. As a specific focus, the connection between spin and statistics is examined in this context. A new…

General Relativity and Quantum Cosmology · Physics 2016-05-25 Christopher J. Fewster

We revise the tight binding approach to strained or curved graphene in the presence of external probes such as Photoemission or Scanning Tunneling Microscopy experiments. We show that extra terms arise in the continuum limit of the tight…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Fernando de Juan , Juan L. Mañes , María A. H. Vozmediano
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