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Gap opening in the spectrum of some Dirac-like pseudo-differential operators

Gap opening in the spectrum of some Dirac-like pseudo-differential operators

In this paper, we study the opening of a spectral gap for a class of 2-dimensional periodic Hamiltonians which include those modelling multilayer graphene. The kinetic part of the Hamiltonian is given by σ · F (−i∇), where σ denotes the Pauli matrices and F is a sufficiently regular vector-valued …