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We use the conservation law of the stress-energy and spin tensors to study the motion of massive brane-like objects in Riemann-Cartan geometry. The world-sheet equations and boundary conditions are obtained in a manifestly covariant form.…

General Relativity and Quantum Cosmology · Physics 2010-10-12 Milovan Vasilic , Marko Vojinovic

Combinatorial quantum gravity is governed by a discrete Einstein-Hilbert action formulated on an ensemble of random graphs. There is strong evidence for a second-order quantum phase transition separating a random phase at strong coupling…

General Relativity and Quantum Cosmology · Physics 2022-04-20 Carlo A. Trugenberger

When a graphene layer is stressed, the strain alters the phase an electron accumulates hopping between sites in a way that can be modeled as arising from a pseudo-magnetic vector potential. We examine the case of an oscillating graphene…

Mesoscale and Nanoscale Physics · Physics 2017-11-02 Anita Bhagat , Kieran Mullen

We consider the quantum dynamics of a charged particle in Euclidean space subjected to electric and magnetic fields under the presence of a potential that forces the particle to stay close to a compact surface. We prove that, as the…

Mathematical Physics · Physics 2018-10-30 Gustavo de Oliveira

The extreme mechanical resilience of graphene and the peculiar coupling it hosts between lattice and electronic degrees of freedom have spawned a strong impetus towards strain-engineered graphene where, on the one hand, strain augments the…

Mesoscale and Nanoscale Physics · Physics 2017-08-16 Gareth W. Jones , D. A. Bahamon , A. H. Castro Neto , Vitor M. Pereira

Graphene research is currently one of the largest fields in condensed matter. Due to its unusual electronic spectrum with Dirac-like quasiparticles, and the fact that it is a unique example of a metallic membrane, graphene has properties…

Materials Science · Physics 2010-04-22 Antonio H. Castro Neto

In this work we will focus on the effects produced by topological disorder on the electronic properties of a graphene plane. The presence of this type of disorder induces curvature in the samples of this material, making quite difficult the…

Strongly Correlated Electrons · Physics 2008-11-26 Alberto Cortijo , María A. H. Vozmediano

Graphene is a one-atom-thick sheet of carbon atoms arranged in a honeycomb lattice. It was first obtained by exfoliation of graphite in 2004 and has since evolved into a thriving research topic because of its attractive mechanical, thermal,…

Optics · Physics 2014-06-04 Philippe Tassin , Thomas Koschny , Costas M. Soukoulis

Since lattice strain and charge density affect various material properties of graphene, a reliable and efficient method is required for quantification of the two variables. While Raman spectroscopy is sensitive and non-destructive, its…

Mesoscale and Nanoscale Physics · Physics 2020-08-10 Gwanghyen Ahn , Sunmin Ryu

Graphene is the first example of truly two-dimensional crystals - it's just one layer of carbon atoms. It turns out to be a gapless semiconductor with unique electronic properties resulting from the fact that charge carriers in graphene…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 M. I. Katsnelson , K. S. Novoselov

Graphene forms from a relatively dense, tightly-bound C-adatom gas, when elemental C is deposited on or segregates to the Ru(0001) surface. Nonlinearity of the graphene growth rate with C adatom density suggests that growth proceeds by…

Materials Science · Physics 2010-12-14 E. Loginova , N. C. Bartelt , P. J. Feibelman , K. F. McCarty

Graphene is a rapidly rising star on the horizon of materials science and condensed matter physics. This strictly two-dimensional material exhibits exceptionally high crystal and electronic quality and, despite its short history, has…

Materials Science · Physics 2007-05-23 A. K. Geim , K. S. Novoselov

Theoretical study of graphite (graphene) edge is done. The most stable edge orientation is calculated to be a zigzag [110] edge. Possible applications of the result to the formation of different graphitic structures are discussed.

Materials Science · Physics 2007-05-23 Slava V. Rotkin

Thermal ripples of graphene are well understood at room temperature, but their quantum counterparts at low temperatures are still in need of a realistic quantitative description. Here we present atomistic path-integral Monte Carlo…

Materials Science · Physics 2018-04-18 Juraj Hasik , Erio Tosatti , Roman Martonak

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

The linear energy dispersion of graphene electrons leads to a strongly nonlinear electromagnetic response of this material. We develop a general quantum theory of the third-order nonlinear local dynamic conductivity of graphene…

Mesoscale and Nanoscale Physics · Physics 2016-02-04 S. A. Mikhailov

We propose a novel conceptual design for a graphene-based quantum engine, driven by a superposition of mechanical strain and an external magnetic field. Engineering of strain in a nanoscale graphene flake creates a gauge field with an…

Mesoscale and Nanoscale Physics · Physics 2015-06-02 Francisco J. Peña , Enrique Muñoz

Graphene is considered to be a promising material for future electronics. The envisaged transistor applications often rely on precision cutting of graphene sheets with nanometer accuracy. In this letter we demonstrate graphene-based quantum…

Mesoscale and Nanoscale Physics · Physics 2010-07-27 S. Neubeck , L. A. Ponomarenko , F. Freitag , A. J. M. Giesbers , U. Zeitler , S. V. Morozov , P. Blake , A. K. Geim , K. S. Novoselov

Defects in solid commonly limit mechanical performance of the material. However, recent measurements reported that the extraordinarily high strength of graphene is almost retained with the presence of grain boundaries. We clarify in this…

Mesoscale and Nanoscale Physics · Physics 2014-02-06 Zhigong Song , Jian Wu , Zhiping Xu

Motivated by graphene-based quantum computer we examine the time-dependence of the position-momentum and position-velocity uncertainties in the monolayer gapped graphene. The effect of the energy gap to the uncertainties is shown to appear…

Quantum Physics · Physics 2012-03-21 Eylee Jung , Kwang S. Kim , DaeKil Park
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