Dispersionless wave packets in Dirac materials
arXiv:1604.00157 · doi:10.1016/j.aop.2017.01.016
Abstract
We show that a wide class of quantum systems with translational invariance can host dispersionless, soliton-like, wave packets. We focus on the setting where the effective, two-dimensional Hamiltonian acquires the form of the Dirac operator. The proposed framework for construction of the dispersionless wave packets is illustrated on silicene-like systems with topologically nontrivial effective mass. Our analytical predictions are accompanied by a numerical analysis and possible experimental realizations are discussed.
15 pages, accepted in the Annals of Physics
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