Torsional topology and fermion-like behavior of elastic waves in phononic structures

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
JournalComptes Rendus - Mecanique
DOIs
StateAccepted/In press - Jan 15 2015

Fingerprint

Fermions
Elastic waves
Wave functions
Topology
Phonons
Wavelength

Keywords

  • Fermions
  • Phononic structure
  • Phonons
  • Topological elastic waves

ASJC Scopus subject areas

  • Mechanics of Materials
  • Materials Science(all)

Cite this

@article{33809177dc8d4336871f585b89398a8b,
title = "Torsional topology and fermion-like behavior of elastic waves in phononic structures",
abstract = "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.",
keywords = "Fermions, Phononic structure, Phonons, Topological elastic waves",
author = "Deymier, {Pierre A} and Runge, {Keith A} and Nick Swinteck and Krishna Muralidharan",
year = "2015",
month = "1",
day = "15",
doi = "10.1016/j.crme.2015.07.003",
language = "English (US)",
journal = "Comptes Rendus - Mecanique",
issn = "1631-0721",
publisher = "Elsevier Masson",

}

TY - JOUR

T1 - Torsional topology and fermion-like behavior of elastic waves in phononic structures

AU - Deymier, Pierre A

AU - Runge, Keith A

AU - Swinteck, Nick

AU - Muralidharan, Krishna

PY - 2015/1/15

Y1 - 2015/1/15

N2 - 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.

AB - 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.

KW - Fermions

KW - Phononic structure

KW - Phonons

KW - Topological elastic waves

UR - http://www.scopus.com/inward/record.url?scp=84937834050&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84937834050&partnerID=8YFLogxK

U2 - 10.1016/j.crme.2015.07.003

DO - 10.1016/j.crme.2015.07.003

M3 - Article

AN - SCOPUS:84937834050

JO - Comptes Rendus - Mecanique

JF - Comptes Rendus - Mecanique

SN - 1631-0721

ER -