60 citations · 231 across the 14 of their papers we have counts for
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Bloch electrons interacting with an external electromagnetic field and Bloch electrons in interaction
Pierre Gosselin, Herve Mohrbach
We apply a general method developed recently for the derivation of the diagonal representation of an arbitrary matrix valued quantum Hamiltonian to the particular case of Bloch ele…
Quantum Hamiltonian diagonalization and Equations of Motion with Berry Phase Corrections
Pierre Gosselin, Alain Berard, Herve Mohrbach
It has been recently found that the equations of motion of several semiclassical systems must take into account anomalous velocity terms arising from Berry phase contributions. Tho…
Semiclassical quantization of electrons in magnetic fields: the generalized Peierls substitution
Pierre Gosselin, Hocine Boumrar, Herve Mohrbach
A generalized Peierls substitution which takes into account a Berry phase term must be considered for the semiclassical treatment of electrons in a magnetic field. This substitutio…
Berry Curvature in Graphene: A New Approach
Pierre Gosselin, Alain Bérard, Hervé Mohrbach +1
In the present paper we have directly computed the Berry curvature terms relevant for Graphene in the presence of an \textit{inhomogeneous} lattice distortion. We have employed the…
Diagonal Representation for a Generic Matrix Valued Quantum Hamiltonian
Pierre Gosselin, Herve Mohrbach
A general method to derive the diagonal representation for a generic matrix valued quantum Hamiltonian is proposed. In this approach new mathematical objects like non-commuting ope…