Abstract

The normal transverse electric field which appears in impurity graphene spontaneously in the presence of a high applied electric field was calculated. The given effect can be associated with non-equilibrium of electron subsystem in graphene. The characteristics of spontaneous field on the parameters of the problem were investigated.

Highlights

  • A study of phase transitions is the one of the famous paradigm in modern fundamental physics

  • The normal transverse electric field which appears in impurity graphene spontaneously in the presence of a high applied electric field was calculated

  • In [1,2] it was shown theoretically that under the action of a high electric field non-equilibrium phase transitions are possible in the electron gas in conductors with a body-centered cubic lattice

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Summary

Introduction

A study of phase transitions is the one of the famous paradigm in modern fundamental physics. All these conditions are carried out for the impurity graphene, and one can investigate an existence possibility of phase transitions in impurity graphene, which is considered in the frameworks of the Anderson model. It can be expect the appearance of transverse component E x when a filed E y is applied (which plays the role of order parameter). We note that electromagnetic waves in the carbon structures become strongly nonlinear even in the weak fields that gives rise to spread possibility of solitary electromagnetic waves in the graphene and carbon nanotubes These properties of carbon nanostructures have theoretical interest and attempts of applying in the nonlinear optics [7]. Summarizing, one can draw a conclusion, that the problem of graphene response in the magnetic field with taking into account Anderson interaction between the impurity and graphene electrons, is very important and actual

Basic Equations
H Hh Him Hhyb
Calculation Results
Conclusions
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