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We investigate electronic band-structure images in reciprocal space of few layer graphene epitaxially grown on SiC(000-1). In addition to the observation of commensurate rotation angles of the graphene layers, the k-space images recorded…

Materials Science · Physics 2018-06-19 C. Mathieu , E. H. Conrad , F. Wang , J. E. Rault , V. Feyer , C. M. Schneider , O. Renault , N. Barrett

We analyze a two-dimensional Kondo lattice model with special emphasis on non-Hermitian properties of the single-particle spectrum, following a recent proposal by Kozii and Fu. Our analysis based on the dynamical mean-field theory…

Strongly Correlated Electrons · Physics 2018-08-01 Tsuneya Yoshida , Robert Peters , Norio Kawakami

A graphene superlattice is formed by a one-dimensional periodic potential and is characterized by the emergence of new Dirac points in the electronic structure. The group velocity of graphene's massless Dirac fermions at the new points is…

We consider graphene superlattice miniband fermions probed by electronic interferometry in magneto-transport experiments. By decoding the observed Fabry-P\'erot interference patterns together with our corresponding quantum transport…

Mesoscale and Nanoscale Physics · Physics 2020-11-25 R. Kraft , M. -H. Liu , P. B. Selvasundaram , S. -C. Chen , R. Krupke , K. Richter , R. Danneau

A transfer matrix approach is used to study the electronic transport in graphene superlattices with long-range correlated barrier spacements. By considering the low-energy electronic excitations as massless Dirac fermions, we compute by…

Mesoscale and Nanoscale Physics · Physics 2020-05-22 Anderson L. R. Barbosa , Jonas R. F. Lima , Ícaro S. F. Bezerra , Marcelo L. Lyra

We investigate the electronic structure of graphene monolayers subjected to patterned dielectric superlattices. Through a quantum capacitance model approach, we simulate realistic devices capable of imposing periodic potentials on graphene.…

Mesoscale and Nanoscale Physics · Physics 2025-01-27 Zhen Zhan , Yonggang Li , Pierre A. Pantaleon

We consider the gapped graphene superlattice (SL) constructed in accordance with the Fibonacci rule. Quasi-periodic modulation is due to the difference in the values of the energy gap in different SL elements. It is shown that the effective…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 A. M. Korol , V. M. Isai

We present a first-principles investigation of the phonon-induced electron self-energy in graphene. The energy dependence of the self-energy reflects the peculiar linear bandstructure of graphene and deviates substantially from the usual…

Materials Science · Physics 2007-08-23 Cheol-Hwan Park , Feliciano Giustino , Marvin L. Cohen , Steven G. Louie

The propagation of Dirac fermions in graphene through a long-period periodic potential would result in a band folding together with the emergence of a series of cloned Dirac points (DPs). In highly aligned graphene/hexagonal boron nitride…

General properties of long wavelength triangular graphene superlattice are studied. It is shown that Dirac points with and without gaps can arise at a number of high symmetry points of the Brillouin Zone. The existence of gaps can lead to…

Mesoscale and Nanoscale Physics · Physics 2010-11-12 F. Guinea , T. Low

We show that, if graphene is subjected to the potential from an external superlattice, a band gap develops at the Dirac point provided the superlattice potential has broken inversion symmetry. As a numerical example, we calculate the band…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Rakesh P Tiwari , D. Stroud

The Schr\"odinger equation dictates that the propagation of nearly free electrons through a weak periodic potential results in the opening of band gaps near points of the reciprocal lattice known as Brillouin zone boundaries. However, in…

We demonstrate from a fundamental perspective the physical and mathematical origins of band warping and band non-parabolicity in electronic and vibrational structures. Remarkably, we find a robust presence and connection with pairs of…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 Lorenzo Resca , Nicholas A. Mecholsky , Ian L. Pegg

Semiconductor superlattices may display dispersions that are degenerate either at the zone center or zone boundary. We show that they are linear upon the wave-vector in the vicinity of the crossing point. This establishes a realisation of…

Mesoscale and Nanoscale Physics · Physics 2015-01-15 Francesca Carosella , Andreas Wacker , Robson Ferreira , Gérald Bastard

Lattice fermions in a fluctuating gauge field can show localization, much like electrons in a disordered potential. We study the spectrum of localized and extended states of supercritical Wilson fermions in gauge ensembles generated with…

High Energy Physics - Lattice · Physics 2007-05-23 Benjamin Svetitsky , Yigal Shamir , Maarten Golterman

Emergent Dirac fermion states underlie many intriguing properties of graphene, and the search for them constitute one strong motivation to explore two-dimensional (2D) allotropes of other elements. Phosphorene, the ultrathin layers of black…

We present a computational study of the two-phonon Raman spectra of silicene and graphene within a density-functional non-orthogonal tight-binding model. Due to the presence of linear bands close to the Fermi energy in the electronic…

Mesoscale and Nanoscale Physics · Physics 2016-04-29 Valentin N. Popov , Philippe Lambin

We analyze the energy spectrum of graphene in the presence of spin-orbit coupling and a unidirectionally periodic Zeeman field, focusing on the stability and location of Dirac points it may support. It is found that the Dirac points at the…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 Luis Brey , A. R. Carvalho , H. A. Fertig

Periodic photonic structures enable precise control over the light-matter interaction through band structure engineering. Certain lattice geometries exhibit dispersionless flat bands, characterized by vanishing group velocity and diverging…

The properties of Dirac electrons in a magnetic superlattice (SL) on graphene consisting of very high and thin (delta-function) barriers are investigated. We obtain the energy spectrum analytically and study the transmission through a…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 M. Ramezani Masir , P. Vasilopoulos , F. M. Peeters