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Spin-1/2 particles such as the electron are described by the Dirac equation, which allows for two spin eigenvalues (up or down) and two types of energy eigenvalues (positive or negative, corresponding to the electron and the positron). A…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Matthew Mecklenburg , B. C. Regan

The paper presents the author view on spin-rooted properties of graphene supported by numerous experimental and calculation evidences. Dirac fermions of crystalline graphene and local spins of graphene molecules are suggested to meet a…

Materials Science · Physics 2016-12-28 Elena F. Sheka

The effect of strain in graphene is usually modeled by a pseudo-magnetic vector potential which is, however, derived in the limit of small strain. In realistic cases deviations are expected in view of graphene's very high strain tolerance,…

Mesoscale and Nanoscale Physics · Physics 2014-01-27 D. Moldovan , M. Ramezani Masir , F. M. Peeters

In contrast to recent description [Phys. Rev. Lett. 106 (2011)116803], we show that pseudo spin in graphene is not completely a real angular momentum. The pseudo spin only in the direction perpendicular to graphene sheet is real angular…

Mesoscale and Nanoscale Physics · Physics 2014-09-12 Bumned Soodchomshom

Pseudospin, an additional degree of freedom inherent in graphene, plays a key role in understanding many fundamental phenomena such as the anomalous quantum Hall effect, electron chirality and Klein paradox. Unlike the electron spin, the…

We propose a first principles effective medium formalism to study the propagation of electron waves in semiconductor heterostructures with a zero-band gap. Our theory confirms that near the K-point the dynamics of a two-dimensional electron…

Mesoscale and Nanoscale Physics · Physics 2016-10-20 Sylvain Lannebère , Mário G. Silveirinha

Electrons in graphene are described by relativistic Dirac-Weyl spinors with a two-component pseudospin1-12. The unique pseudospin structure of Dirac electrons leads to emerging phenomena such as the massless Dirac cone2, anomalous quantum…

We revisit the theory of the pseudo magnetic field as induced by strain in graphene using the tight-binding approach. A systematic expansion of the hopping parameter and the deformation of the lattice vectors is presented from which we…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 M. Ramezani Masir , D. Moldovan , F. M. Peeters

We present a detailed theoretical study of bilayer-graphene's electronic properties in the presence of electric and magnetic fields. Using group-theoretical methods, we derive an invariant expansion of the Hamiltonian for electron states…

Mesoscale and Nanoscale Physics · Physics 2015-07-01 R. Winkler , U. Zülicke

It is well established that some kinds of lattice deformations in graphene monolayer, which change electron hopping in sublattice and affect in-plane motion of electrons, may induce out-of-plane pseudo-magnetic fields as large as 100 T.…

Mesoscale and Nanoscale Physics · Physics 2014-04-10 Wen-Yu He , Ying Su , Mudan Yang , Lin He

We investigate from first principles a variety of low-dimensional open quantum spin systems based on magnetic nanographene structures that contain spin-1/2 and spin-1 triangulenes and/or olympicenes. These graphene nanostructures behave as…

Mesoscale and Nanoscale Physics · Physics 2025-11-25 Gabriel Martínez-Carracedo , Amador García-Fuente , László Oroszlány , László Szunyogh , Jaime Ferrer

We study the electronic structure and topological properties of monolayer and ABC-stacked multilayer of graphyne-$N$, which are a family of planar carbon sheets consisting of $sp$ and $sp_2$-bonding. By using the density-functional theory…

Mesoscale and Nanoscale Physics · Physics 2020-09-24 Takuto Kawakami , Takafumi Nomura , Mikito Koshino

The low-energy physics of graphene is described by relativistic Dirac fermions with spin and valley degrees of freedom. Mechanical strain can be used to create a pseudo magnetic field pointing to opposite directions in the two valleys. We…

Strongly Correlated Electrons · Physics 2017-08-29 Ying-Hai Wu , Tao Shi , G. J. Sreejith , Zheng-Xin Liu

It is well-known that the dynamics of low energy electron in graphene honeycomb lattice near the K/K' points can be described, in tight-binding approximation, by 2+1 massless Dirac equation. Graphene's spin equivalent, "pseudospin", arises…

Mesoscale and Nanoscale Physics · Physics 2012-08-17 P. Kosinski , P. Maslanka , J. Slawinska , I. Zasada

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

The naturally weak spin-orbit coupling in Graphene can be largely enhanced by adatom deposition (e.g. Weeks et al. Phys. Rev. X 1, 021001 (2011)). However, the dynamics of the adatoms also induces a coupling between phonons and the electron…

Mesoscale and Nanoscale Physics · Physics 2015-07-29 Jhih-Shih You , Daw-Wei Wang , Miguel A. Cazalilla

We study the ground state properties of an ABA-stacked trilayer graphene. The low energy band structure can be described by a combination of both a linear and a quadratic particle-hole symmetric dispersions, reminiscent of monolayer- and…

Mesoscale and Nanoscale Physics · Physics 2012-03-08 Ralph van Gelderen , Lih-King Lim , C. Morais Smith

Carbon based systems are prominent candidates for a solid-state spin-qubit due to weak spin-orbit and hyperfine interactions in combination with a low natural abundance of spin carrying isotopes. We consider the effect of the hyperfine…

Mesoscale and Nanoscale Physics · Physics 2012-08-03 Moritz Fuchs , Valentin Rychkov , Björn Trauzettel

The electronic behavior in graphene under arbitrary uniaxial deformations, such as foldings or flexural fields is studied by including in the Dirac equation pseudoelectromagnetic fields. General foldings are thus studied by showing that…

Mesoscale and Nanoscale Physics · Physics 2023-03-23 Abdiel E. Champo , Gerardo G. Naumis

Pseudospin plays a central role in many novel physical properties of graphene and other artificial systems which have pseudospins of 1/2. Here we show that in certain photonic crystals (PCs) exhibiting conical dispersions at k = 0, the…

Optics · Physics 2016-01-22 A. Fang , Z. Q. Zhang , Steven G. Louie , C. T. Chan
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