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The effect of a varying pseudo-magnetic field, which falls as $1/x^2$, on a two dimensional electron gas in graphene is investigated. By considering the second order Dirac equation, we show that its correct general solution is that which…

Mesoscale and Nanoscale Physics · Physics 2015-01-29 L. G. da Silva Leite , D. Cogollo , C. Filgueiras , Edilberto O. Silva

In a heterostructure of graphene and the ferromagnetic insulator EuO, the Eu atoms induce proximity exchange and inter-valley interactions in the graphene layer. Constrained by the lattice symmetries, and guided by ab initio calculations, a…

Materials Science · Physics 2017-04-11 Shanshan Su , Yafis Barlas , Roger K. Lake

Quantum geometric electronic responses are often viewed through a non-interacting lens: independent quasiparticles accumulate Berry phases as they move through a static crystal and background potential. Here we argue that the combined…

Mesoscale and Nanoscale Physics · Physics 2025-12-09 John Tan , Oles Matsyshyn , Giovanni Vignale , Justin C. W. Song

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

Exerting control of the magnetic exchange interaction in heterostructures is of both basic interest and has potential for use in spin-based applications relying on quantum effects. We here show that the sign of the exchange interaction in a…

Superconductivity · Physics 2019-07-03 Jabir Ali Ouassou , Jacob Linder

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

Recent reports of spin-orbit coupling enhancement in chemically modified graphene have opened doors to studies of the spin Hall effect with massless chiral fermions. Here, we theoretically investigate the interaction and impurity density…

Mesoscale and Nanoscale Physics · Physics 2016-11-15 Mirco Milletari , Aires Ferreira

A new mechanism that induces charge density variations in corrugated graphene is proposed. Here it is shown how the interplay between lattice deformations and exchange interactions can induce charge separation, i.e., puddles of electrons…

Mesoscale and Nanoscale Physics · Physics 2008-01-08 L. Brey , J. J. Palacios

We previously show [JETP Letters, {\bf 114}, 763 (2021)] that a graphene sample placed on a ferromagnetic substrate demonstrates a cooperative magnetoelectronic instability. The instability induces a gap in the electronic spectrum and a…

Mesoscale and Nanoscale Physics · Physics 2022-04-29 D. N. Dresviankin , A. V. Rozhkov , A. O. Sboychakov

The rules that govern spin exchange interaction in pristine graphene nanostructures are constrained by the bipartite character of the lattice, so that the sign of the exchange is determined by whether magnetic moments are on the same…

Mesoscale and Nanoscale Physics · Physics 2016-09-16 R. Ortiz , J. L. Lado , M. Melle-Franco , J. Fernandez-Rossier

We review field theoretical studies dedicated to understanding the effects of electron-electron interaction in graphene, which is characterized by gapless bands, strong electron-electron interactions, and emerging Lorentz invariance deep in…

High Energy Physics - Theory · Physics 2023-05-30 A. V. Kotikov

The indirect exchange interaction between magnetic impurities localized in a graphene plane is considered theoretically, with the influence of intrinsic spin-orbit interaction taken into account. Such an interaction gives rise to an energy…

Materials Science · Physics 2015-06-25 V. K. Dugaev , V. I. Litvinov , J. Barnas

Experiments are finally revealing intricate facts about graphene which go beyond the ideal picture of relativistic Dirac fermions in pristine two dimensional (2D) space, two years after its first isolation. While observations of rippling…

Other Condensed Matter · Physics 2009-11-13 Eun-Ah Kim , A. H. Castro Neto

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…

The unique optical properties of graphene, with broadband absorption and ultrafast response, make it a critical component of optoelectronic and spintronic devices. Using time-resolved momentum microscopy with high data rate and high dynamic…

The conductance of ballistic graphene at the neutrality point is due to coherent electron tunneling between the leads, the so called pseudodiffusive regime. The conductance scales as function of the sample dimensions in the same way as in a…

Mesoscale and Nanoscale Physics · Physics 2014-09-17 F. Guinea , M. I. Katsnelson

We analyze the scattering from one-dimensional defects in intrinsic graphene. The Coulomb repulsion between electrons is found to be able to induce singularities of such scattering at zero temperature as in one-dimensional conductors. In…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 M. Kindermann

The role of graphene in mediating the exchange interaction is theoretically investigated when it is placed between two ferromagnetic dielectric materials. The calculation based on a tight-binding model illustrates that the magnetic…

Materials Science · Physics 2009-11-13 Y. G. Semenov , J. M. Zavada , K. W. Kim

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

Exploiting 2D materials for spintronic applications can potentially realize next-generation devices featuring low-power consumption and quantum operation capability. The magnetic exchange field (MEF) induced by an adjacent magnetic…