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Semi-metals are characterized by nodal band structures that give rise to exotic electronic properties. The stability of Dirac semi-metals, such as graphene in two spatial dimensions (2D), requires the presence of lattice symmetries, while…

Mesoscale and Nanoscale Physics · Physics 2016-06-15 Robert-Jan Slager , Vladimir Juricic , Ville Lahtinen , Jan Zaanen

We propose that the electronic structure of twisted bilayer graphene (TBG) can be understood as Dirac fermions coupled with opposite pseudo magnetic fields generated by the moir\'e pattern. The two low-energy flat bands from each monolayer…

Mesoscale and Nanoscale Physics · Physics 2019-04-24 Jianpeng Liu , Junwei Liu , Xi Dai

It is a fundamental paradigm that the physical effects induced by electric fields are qualitatively different from those induced by magnetic fields. Here we show that electrons at a Dirac point in bilayer graphene experience an unusual type…

Mesoscale and Nanoscale Physics · Physics 2012-06-22 R. Winkler , U. Zuelicke

A transfer matrix method is presented for solving the scattering problem for the quasi one-dimensional massless Dirac equation applied to graphene in the presence of an arbitrary inhomogeneous electric and perpendicular magnetic field. It…

Mesoscale and Nanoscale Physics · Physics 2012-05-17 Sameer Grover , Sankalpa Ghosh , Manish Sharma

It is argued that Trauzettel et al. [Phys. Rev. B 75, 035305 (2007)] made some mistakes in their calculations regarding the photon-assisted transport in graphene that lead to uncoupled sidebands and emergence of step-like features in dG/dV…

Mesoscale and Nanoscale Physics · Physics 2010-10-26 M. Ahsan Zeb

Two-dimensional carbon, or graphene, is a semi-metal that presents unusual low-energy electronic excitations described in terms of Dirac fermions. We analyze in a self-consistent way the effects of localized (impurities or vacancies) and…

Strongly Correlated Electrons · Physics 2009-11-11 N. M. R. Peres , F. Guinea , A. H. Castro Neto

The work of our group on reproducing scenarios of high energy theoretical physics on Dirac materials, like graphene, is illustrated. The main goal of this paper is to explain how versatile these systems are, and how far and wide into the…

High Energy Physics - Theory · Physics 2020-05-26 Alfredo Iorio

We show that, by going beyond the low-energy approximation for which the dispersion relations of graphene are linear, the corresponding emergent field theory is a specific generalization a Dirac field theory. The generalized Dirac…

High Energy Physics - Theory · Physics 2019-10-04 Alfredo Iorio , Pablo Pais

We investigate the effects of uniaxial strain on the transport properties of vertical devices made of two twisted graphene layers, which partially overlap each other. We find that because of the different orientations of the two graphene…

Mesoscale and Nanoscale Physics · Physics 2015-02-26 Viet Hung Nguyen , Huy-Viet Nguyen , Jerome Saint Martin , Philippe Dollfus

By means of atomistic tight-binding calculations, we investigate the transport properties of vertical devices made of two incommensurately misoriented graphene layers. With a chosen transport direction (Ox-axis), we define two classes of…

Mesoscale and Nanoscale Physics · Physics 2015-12-23 Viet Hung Nguyen , Philippe Dollfus

Recent advances in chiral cavities that can couple coherently to two-dimensional materials have opened a powerful route to reshape electronic topology without an external drive. Here we establish the bulk-boundary correspondence for…

Mesoscale and Nanoscale Physics · Physics 2025-11-14 Volker Karle , Oriana K. Diessel , Vasil Rokaj , Ceren B. Dağ

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

Most materials in available macroscopic quantities are polycrystalline. Graphene, a recently discovered two-dimensional form of carbon with strong potential for replacing silicon in future electronics, is no exception. There is growing…

Mesoscale and Nanoscale Physics · Physics 2010-09-28 Oleg V. Yazyev , Steven G. Louie

An analytical study of low-energy electronic excited states in an uniformly strained graphene is carried out up to second-order in the strain tensor. We report an new effective Dirac Hamiltonian with an anisotropic Fermi velocity tensor,…

Mesoscale and Nanoscale Physics · Physics 2017-08-18 Maurice Oliva-Leyva , Chumin Wang

An electromagnetic response of a single graphene layer to a uniform, arbitrarily strong electric field $E(t)$ is calculated by solving the kinetic Boltzmann equation within the relaxation-time approximation. The theory is valid at low…

Mesoscale and Nanoscale Physics · Physics 2018-04-26 S. A. Mikhailov

Adopting a purely two dimensional relativistic equation for graphene's carriers contradicts the Heisenberg uncertainty principle since it requires setting off-the-surface coordinate of a three-dimensional wavefunction to zero. Here we…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Victor Atanasov , Avadh Saxena

One of the most important developments in condensed matter physics in recent years has been the discovery and characterization of graphene. A two-dimensional layer of Carbon arranged in a hexagonal lattice, graphene exhibits many…

High Energy Physics - Lattice · Physics 2015-09-23 Christopher Winterowd , Carleton DeTar , Savvas Zafeiropoulos

We investigate the spin-dependent transport properties of a ferromagnetic/strained/normal graphene junctions with central region subjected to a magnetic field $B$. An analytical approach, based on Dirac equation, is implemented to obtain…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Youness Zahidi , Ilham Redouani , Ahmed Jellal , Hocine Bahlouli

Although massless Dirac fermions in graphene constitute a centrosymmetric medium for in-plane excitations, their second-order nonlinear optical response is nonzero if the effects of spatial dispersion are taken into account. Here we present…

Mesoscale and Nanoscale Physics · Physics 2016-12-07 Yongrui Wang , Mikhail Tokman , Alexey Belyanin

Two monolayers of graphene twisted by a small `magic' angle exhibit nearly flat bands leading to correlated electronic states and superconductivity, whose precise nature including possible broken symmetries, remain under debate. Here we…

Strongly Correlated Electrons · Physics 2019-12-13 Jong Yeon Lee , Eslam Khalaf , Shang Liu , Xiaomeng Liu , Zeyu Hao , Philip Kim , Ashvin Vishwanath