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Dispersionless wave packets in Dirac materials
Mesoscale and Nanoscale Physics · Submitted 1 Apr 2016
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that a wide class of quantum systems with translational invariance can host dispersionless, soliton-like, wave packets.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We show that a wide class of quantum systems with translational invariance can host dispersionless, soliton-like, wave packets. | result 0.61 | 0.92 | 0.83 | asserted 0.99 |
| s1 | We focus on the setting where the effective, two-dimensional Hamiltonian acquires the form of the Dirac operator. | method 0.50 | 0.49 | 0.07 | asserted 0.88 |
| s2 | The proposed framework for construction of the dispersionless wave packets is illustrated on silicene-like systems with topologically nontrivial effective mass. | contribution 0.66 | 0.82 | 0.11 | asserted 0.98 |
| s3 | Our analytical predictions are accompanied by a numerical analysis and possible experimental realizations are discussed. | method 0.57 | 0.87 | 0.05 | asserted 0.63 |
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The paper
Original 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.
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2 arXiv papers cite this in 3 sentences
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Notice that, although we have primarily graphene in mind, many of the following considerations apply also to other two-dimensional crystals, with hexagonal symmetry, including, e.g., silicene, germanene, dichalcogenides and the artificial graphene, among others (see [ref] ).
(Anti-)de Sitter, Poincar\'{e}, Super symmetries, and the two Dirac points of graphene · Introduction · 0.86
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