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Title: Phonons in complex twisted crystals: Angular momenta, interactions, and topology

Abstract

We report phonons and their interactions are critically important for a variety of energy-relevant applications ranging from low thermal resistance substrates to thermal barrier coatings. Fundamental insights into the nature of phonons and allowed interactions are governed by the underlying symmetries of the crystal lattice. In this paper, we provide a comprehensive and detailed description of lattice dynamics derived from twist symmetries of chiral and achiral crystals—twist dynamics. Phonon bands naturally carry quantized crystal angular momentum derived from rotational phases, which give insights into the nature of band crossings and avoided crossings, selection rules for phonon interactions, and topological band crossing behaviors. Twist dynamics is demonstrated for a variety of materials covering a range of space groups, symmetry operations, twist axis orientations, and constituent elements. Furthermore, twist symmetry offers insights into peculiar features observed in scattering measurements. In this context, we present inelastic neutron scattering measurements for rutile TiO2 and explain them using twist dynamics.

Authors:
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]
  1. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Publication Date:
Research Org.:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division
OSTI Identifier:
1888927
Grant/Contract Number:  
AC05-00OR22725; AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. B
Additional Journal Information:
Journal Volume: 106; Journal Issue: 9; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; lattice dynamics; phonons; symmetry protected topological states; density functional calculations; inelastic neutron scattering

Citation Formats

Juneja, Rinkle, Li, Xun, Thebaud, Simon, Moseley, Duncan, Cheng, Yongqiang, Hermann, Raphael P., Lindsay, Lucas, and Manley, Michael E. Phonons in complex twisted crystals: Angular momenta, interactions, and topology. United States: N. p., 2022. Web. doi:10.1103/physrevb.106.094310.
Juneja, Rinkle, Li, Xun, Thebaud, Simon, Moseley, Duncan, Cheng, Yongqiang, Hermann, Raphael P., Lindsay, Lucas, & Manley, Michael E. Phonons in complex twisted crystals: Angular momenta, interactions, and topology. United States. https://doi.org/10.1103/physrevb.106.094310
Juneja, Rinkle, Li, Xun, Thebaud, Simon, Moseley, Duncan, Cheng, Yongqiang, Hermann, Raphael P., Lindsay, Lucas, and Manley, Michael E. Thu . "Phonons in complex twisted crystals: Angular momenta, interactions, and topology". United States. https://doi.org/10.1103/physrevb.106.094310. https://www.osti.gov/servlets/purl/1888927.
@article{osti_1888927,
title = {Phonons in complex twisted crystals: Angular momenta, interactions, and topology},
author = {Juneja, Rinkle and Li, Xun and Thebaud, Simon and Moseley, Duncan and Cheng, Yongqiang and Hermann, Raphael P. and Lindsay, Lucas and Manley, Michael E.},
abstractNote = {We report phonons and their interactions are critically important for a variety of energy-relevant applications ranging from low thermal resistance substrates to thermal barrier coatings. Fundamental insights into the nature of phonons and allowed interactions are governed by the underlying symmetries of the crystal lattice. In this paper, we provide a comprehensive and detailed description of lattice dynamics derived from twist symmetries of chiral and achiral crystals—twist dynamics. Phonon bands naturally carry quantized crystal angular momentum derived from rotational phases, which give insights into the nature of band crossings and avoided crossings, selection rules for phonon interactions, and topological band crossing behaviors. Twist dynamics is demonstrated for a variety of materials covering a range of space groups, symmetry operations, twist axis orientations, and constituent elements. Furthermore, twist symmetry offers insights into peculiar features observed in scattering measurements. In this context, we present inelastic neutron scattering measurements for rutile TiO2 and explain them using twist dynamics.},
doi = {10.1103/physrevb.106.094310},
journal = {Physical Review. B},
number = 9,
volume = 106,
place = {United States},
year = {Thu Sep 22 00:00:00 EDT 2022},
month = {Thu Sep 22 00:00:00 EDT 2022}
}

Works referenced in this record:

Generalized Gradient Approximation Made Simple
journal, October 1996

  • Perdew, John P.; Burke, Kieron; Ernzerhof, Matthias
  • Physical Review Letters, Vol. 77, Issue 18, p. 3865-3868
  • DOI: 10.1103/PhysRevLett.77.3865

Phonon angular momentum and chiral phonons
journal, January 2018


Topological chiral phonons in center-stacked bilayer triangle lattices
journal, May 2018

  • Xu, Xifang; Zhang, Wei; Wang, Jiaojiao
  • Journal of Physics: Condensed Matter, Vol. 30, Issue 22
  • DOI: 10.1088/1361-648X/aabf5e

Topological phonons in oxide perovskites controlled by light
journal, November 2020


Equivalent expression of Z 2 topological invariant for band insulators using the non-Abelian Berry connection
journal, August 2011


Two-Dimensional Phonon Transport in Supported Graphene
journal, April 2010


Intrinsic anharmonicity and thermal properties of ultralow thermal conductivity Ba 6 Sn 6 Se 13
journal, August 2021


Projector augmented-wave method
journal, December 1994


Chiral Phonons at High-Symmetry Points in Monolayer Hexagonal Lattices
journal, September 2015


Observation of chiral phonons
journal, February 2018


Charge-four Weyl phonons
journal, April 2021


Neutron Scattering with a Triple-Axis Spectrometer
book, January 2009


Intrinsic ripples in graphene
journal, September 2007

  • Fasolino, A.; Los, J. H.; Katsnelson, M. I.
  • Nature Materials, Vol. 6, Issue 11
  • DOI: 10.1038/nmat2011

Double-Weyl Phonons in Transition-Metal Monosilicides
journal, January 2018


Distributions of phonon lifetimes in Brillouin zones
journal, March 2015


Chiral phonons and pseudoangular momentum in nonsymmorphic systems
journal, February 2022


Propagating Chiral Phonons in Three-Dimensional Materials
journal, March 2021


A mixed-space approach to first-principles calculations of phonon frequencies for polar materials
journal, April 2010


The role of symmetry in fundamental physics
journal, December 1996


Rutile-type compounds. IV. SiO2, GeO2 and a comparison with other rutile-type structures
journal, November 1971

  • Baur, W. H.; Khan, A. A.
  • Acta Crystallographica Section B Structural Crystallography and Crystal Chemistry, Vol. 27, Issue 11
  • DOI: 10.1107/S0567740871005466

Horace : Software for the analysis of data from single crystal spectroscopy experiments at time-of-flight neutron instruments
journal, October 2016

  • Ewings, R. A.; Buts, A.; Le, M. D.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 834
  • DOI: 10.1016/j.nima.2016.07.036

Flexural Phonons in Free-Standing Graphene
journal, February 2008


ShengBTE: A solver of the Boltzmann transport equation for phonons
journal, June 2014

  • Li, Wu; Carrete, Jesús; A. Katcho, Nebil
  • Computer Physics Communications, Vol. 185, Issue 6
  • DOI: 10.1016/j.cpc.2014.02.015

Topological quantum properties of chiral crystals
journal, October 2018


Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set
journal, July 1996


New quantum transition in Weyl semimetals with correlated disorder
journal, January 2017


Filling-Enforced Gaplessness in Band Structures of the 230 Space Groups
journal, August 2016


Composite Weyl nodes stabilized by screw symmetry with and without time-reversal invariance
journal, July 2017


Ab initio molecular dynamics for open-shell transition metals
journal, November 1993


Chiral Phonon Diode Effect in Chiral Crystals
journal, February 2022


Three-nodal surface phonons in solid-state materials: Theory and material realization
journal, October 2021


Theory of thermal transport in multilayer hexagonal boron nitride and nanotubes
journal, January 2012


High-Dimensional Disorder-Driven Phenomena in Weyl Semimetals, Semiconductors, and Related Systems
journal, March 2018


Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set
journal, October 1996


First principles phonon calculations in materials science
journal, November 2015


Elastic properties of single-walled carbon nanotubes
journal, January 2000


Simulation of Inelastic Neutron Scattering Spectra Using OCLIMAX
journal, January 2019

  • Cheng, Y. Q.; Daemen, L. L.; Kolesnikov, A. I.
  • Journal of Chemical Theory and Computation, Vol. 15, Issue 3
  • DOI: 10.1021/acs.jctc.8b01250

Quasiparticle twist dynamics in non-symmorphic materials
journal, November 2021


Connectivity of energy bands in crystals
journal, March 1999


Restoring the Density-Gradient Expansion for Exchange in Solids and Surfaces
journal, April 2008


Design and operation of the wide angular-range chopper spectrometer ARCS at the Spallation Neutron Source
journal, January 2012

  • Abernathy, D. L.; Stone, M. B.; Loguillo, M. J.
  • Review of Scientific Instruments, Vol. 83, Issue 1
  • DOI: 10.1063/1.3680104

Symmetry-enforced Weyl phonons
journal, July 2020


Diameter dependence of carbon nanotube thermal conductivity and extension to the graphene limit
journal, October 2010


Ground State of the Electron Gas by a Stochastic Method
journal, August 1980


Elementary energy bands in crystals are connected
journal, February 2001


Effect of Time-Reversal Symmetry on Energy Bands of Crystals
journal, August 1937


Multi-Weyl Topological Semimetals Stabilized by Point Group Symmetry
journal, June 2012


Selection rules for polymers and quasi one-dimensional crystals. II. Kronecker products for the line groups isogonal to D n
journal, March 1984

  • Damnjanovic, M.; Bozovic, I.; Bozovic, N.
  • Journal of Physics A: Mathematical and General, Vol. 17, Issue 4
  • DOI: 10.1088/0305-4470/17/4/016

Symmetry-driven phonon chirality and transport in one-dimensional and bulk B a 3 N -derived materials
journal, December 2018

  • Pandey, Tribhuwan; Polanco, Carlos A.; Cooper, Valentino R.
  • Physical Review B, Vol. 98, Issue 24
  • DOI: 10.1103/PhysRevB.98.241405

Phonon thermal transport in strained and unstrained graphene from first principles
journal, April 2014


Chiral and Achiral Crystal Structures
journal, April 2003


Zur kinetischen Theorie der Wärmeleitung in Kristallen
journal, January 1929


Crystallographic shelves: space-group hierarchy explained
journal, September 2018

  • Nespolo, Massimo; Aroyo, Mois Ilia; Souvignier, Bernd
  • Journal of Applied Crystallography, Vol. 51, Issue 5
  • DOI: 10.1107/S1600576718012724

Electronic level degeneracy in nonsymmorphic periodic or aperiodic crystals
journal, December 1997


Flexural phonons and thermal transport in graphene
journal, September 2010