Sunday 9 August 2015

quantum mechanics - Why electrons are relativistic in Graphene and non relativistic in vacuum?


If a free region in space has a potential difference of one volt, an electron in this region will acquire kinetic energy of 1 eV. Its speed will be much smaller than the speed of light hence it will be a non relativistic electron.


On the other hand conduction electrons in graphene are relativistic for the same potential difference.



Question is how come that when the electrons are in vacuum they are non relativistic, and when they are inside Graphene they are relativistic (for the same potential difference)?




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