Dispersionless wave packets in Dirac materials

TL;DR

This paper demonstrates that certain Dirac materials can support dispersionless, soliton-like wave packets, combining analytical and numerical methods to explore their properties and potential experimental realizations.

Contribution

It introduces a framework for constructing dispersionless wave packets in Dirac systems, specifically applied to silicene-like materials with topologically nontrivial mass.

Findings

Dispersionless wave packets can exist in Dirac materials with specific conditions.

Analytical and numerical analyses confirm the stability of these wave packets.

Potential experimental setups for observing these wave packets are discussed.

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.