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arXiv · 0712.2783

Orbital diamagnetism in multilayer graphenes: Systematic study with the effective mass approximation

Mikito Koshino·Tsuneya Ando
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Abstract

We present a theoretical study on the orbital magnetism in multilayer graphenes within the effective mass approximation. The Hamiltonian and thus susceptibility can be decomposed into contributions from sub-systems equivalent to monolayer or bilayer graphene. The monolayer-type subband exists only in odd layers and exhibits a delta-function susceptibility at $E_F=0$. The bilayer-type subband appearing in every layer number gives a singular structure in the vicinity of $E_F=0$ due to the trigonal warping as well as a logarithmic tail away from $E_F=0$. The integral of the susceptibility over energy is approximately given only by the layer number.

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Mikito Koshino, Tsuneya Ando. 2007-12-17. Orbital diamagnetism in multilayer graphenes: Systematic study with the effective mass approximation. https://doi.org/10.1103/physrevb.76.085425

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