THEORY OF HOLLOW CATHODE IN ATMOSPHERIC ARC IN NOBLE GAS

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Магнитные возбуждения графена в рамках 8-спинорной реализации киральной модели

The simplest scalar chiral model of graphene suggested earlier and based on the SU(2) order parameter is generalized by including 8-spinor field as an additional order parameter for the description of spin (magnetic) excitations in graphene. As an illustration we study the interaction of the graphene layer with the external magnetic field. In the case of the magnetic field parallel to the graphene plane the diamagnetic effect is predicted, that is the weakening of the magnetic intensity in the volume of the material. However, for the case of the magnetic field orthogonal to the graphene plane the strengthening of the magnetic intensity is revealed in the central domain (at small r). Thus, the magnetic properties of the graphene prove to be strongly anisotropic.Простейшая киральная модель графена, предложенная ранее и основанная на SU(2) параметре порядка, обобщается путем введения 8-спинорного поля как дополнительного параметра порядка для описания спиновых (магнитных) возбуждений в графене. В качестве иллюстрации мы изучаем взаимодействие графенового слоя с внешним магнитным полем. В случае магнитного поля, параллельного графеновой плоскости, предсказывается диамагнитный эффект, т. е. ослабление магнитной индукции внутри образца. Однако в случае магнитного поля, ортогонального графеновой плоскости, обнаруживается усиление магнитной индукции в центральной области (при малых r). Таким образом, магнитные свойства графена оказываются сильно анизотропными

Spin and magnetic excitation in chiral model of graphene

Graphene is basically a single atomic layer of graphite; an abundant mineral which is an allotrope of carbon that is made up of very tightly bonded carbon atoms organized into a hexagonal lattice. The incorporation of magnetism to the long list of graphene capabilities has been pursued since its first isolation. In this contribution, we examine the magnetic possibilities in graphene using the chiral model. In the framework of the 8-spinor generalization of the scalar chiral model of graphene, we consider the spin and quasi-spin excitations in graphene, the interaction of graphene with uniform magnetic field and use the gauge invariance principle for introducing the electromagnetic interaction. The Lagrangian density of the model is simplified and our graphene material reveals the evident diamagnetic effect: the weakening of the magnetic field within the graphene sample. Therefore, graphene can become an ideal material for studying spin transport (spintronics). © 2017 Pushpa Publishing House, Allahabad, India

Spin and magnetic excitation in chiral model of graphene

Graphene is basically a single atomic layer of graphite; an abundant mineral which is an allotrope of carbon that is made up of very tightly bonded carbon atoms organized into a hexagonal lattice. The incorporation of magnetism to the long list of graphene capabilities has been pursued since its first isolation. In this contribution, we examine the magnetic possibilities in graphene using the chiral model. In the framework of the 8-spinor generalization of the scalar chiral model of graphene, we consider the spin and quasi-spin excitations in graphene, the interaction of graphene with uniform magnetic field and use the gauge invariance principle for introducing the electromagnetic interaction. The Lagrangian density of the model is simplified and our graphene material reveals the evident diamagnetic effect: the weakening of the magnetic field within the graphene sample. Therefore, graphene can become an ideal material for studying spin transport (spintronics). © 2017 Pushpa Publishing House, Allahabad, India