A one-dimensional block-spring model that supports rotational waves is analyzed within Dirac formalism. We show that the wave functions possess a spinor and a spatio-temporal part. The spinor part leads to a non-conventional torsional topology of the wave function. In the long-wavelength limit, field theoretical methods are used to demonstrate that rotational phonons can exhibit fermion-like behavior. Subsequently, we illustrate how information can be encoded in the spinor-part of the wave function by controlling the phonon wave phase.
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@article{CRMECA_2015__343_12_700_0,
author = {Pierre A. Deymier and Keith Runge and Nick Swinteck and Krishna Muralidharan},
title = {Torsional topology and fermion-like behavior of elastic waves in phononic structures},
journal = {Comptes Rendus. M\'ecanique},
pages = {700--711},
publisher = {Elsevier},
volume = {343},
number = {12},
year = {2015},
doi = {10.1016/j.crme.2015.07.003},
language = {en},
}
TY - JOUR AU - Pierre A. Deymier AU - Keith Runge AU - Nick Swinteck AU - Krishna Muralidharan TI - Torsional topology and fermion-like behavior of elastic waves in phononic structures JO - Comptes Rendus. Mécanique PY - 2015 SP - 700 EP - 711 VL - 343 IS - 12 PB - Elsevier DO - 10.1016/j.crme.2015.07.003 LA - en ID - CRMECA_2015__343_12_700_0 ER -
%0 Journal Article %A Pierre A. Deymier %A Keith Runge %A Nick Swinteck %A Krishna Muralidharan %T Torsional topology and fermion-like behavior of elastic waves in phononic structures %J Comptes Rendus. Mécanique %D 2015 %P 700-711 %V 343 %N 12 %I Elsevier %R 10.1016/j.crme.2015.07.003 %G en %F CRMECA_2015__343_12_700_0
Pierre A. Deymier; Keith Runge; Nick Swinteck; Krishna Muralidharan. Torsional topology and fermion-like behavior of elastic waves in phononic structures. Comptes Rendus. Mécanique, Volume 343 (2015) no. 12, pp. 700-711. doi : 10.1016/j.crme.2015.07.003. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2015.07.003/
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