Propagation of waves in high Brillouin zones: Chaotic branched flow and stable superwires

Alvar Daza; Eric J. Heller; Anton M. Graf; Esa Räsänen

doi:10.1073/pnas.2110285118

Propagation of waves in high Brillouin zones: Chaotic branched flow and stable superwires

Alvar Daza, Eric J. Heller, Anton M. Graf, Esa Räsänen

Physics

Research output: Contribution to journal › Article › Scientific › peer-review

Abstract

We report unexpected classical and quantum dynamics of a wave propagating in a periodic potential in high Brillouin zones. Branched flow appears at wavelengths shorter than the typical length scale of the ordered periodic structure and for energies above the potential barrier. The strongest branches remain stable indefinitely and may create linear dynamical channels, wherein waves are not confined directly by potential walls as electrons in ordinary wires but rather, indirectly and more subtly by dynamical stability. We term these superwires since they are associated with a superlattice.

Original language	English
Article number	e2110285118
Number of pages	7
Journal	Proceedings of the National Academy of Sciences of the United States of America
Volume	118
Issue number	40
DOIs	https://doi.org/10.1073/pnas.2110285118
Publication status	Published - 5 Oct 2021
Publication type	A1 Journal article-refereed

Keywords

Branched flow
Chaos
Superlattices
Wave dynamics

Publication forum classification

Publication forum level 3

ASJC Scopus subject areas

General

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10.1073/pnas.2110285118

Propagation of waves
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Cite this

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title = "Propagation of waves in high Brillouin zones: Chaotic branched flow and stable superwires",

abstract = "We report unexpected classical and quantum dynamics of a wave propagating in a periodic potential in high Brillouin zones. Branched flow appears at wavelengths shorter than the typical length scale of the ordered periodic structure and for energies above the potential barrier. The strongest branches remain stable indefinitely and may create linear dynamical channels, wherein waves are not confined directly by potential walls as electrons in ordinary wires but rather, indirectly and more subtly by dynamical stability. We term these superwires since they are associated with a superlattice.",

keywords = "Branched flow, Chaos, Superlattices, Wave dynamics",

author = "Alvar Daza and Heller, {Eric J.} and Graf, {Anton M.} and Esa R{\"a}s{\"a}nen",

note = "Funding Information: We thank Alhun Aydin, Anatoly Obzhirov, Elizabeth Kozlov, Joonas Keski-Rahkonen, Shan Deneen, and Kobra Nasiri Avanaki for useful discussions. Financial support from NSF Center for Integrated Quantum Materials Grant DMR-12 313 19 and NSF Chemistry Grant 1800 101 is acknowledged. A.D. thanks the Real Colegio Complutense, which partially supported his research at Harvard University, and he also acknowledges support from the Spanish State Research Agency (AEI) and European Regional Development Fund (European Union) Projects FIS2016-76 883-P and PID2019-105554GB-I00. Publisher Copyright: {\textcopyright} 2021 National Academy of Sciences. All rights reserved.",

year = "2021",

month = oct,

day = "5",

doi = "10.1073/pnas.2110285118",

language = "English",

volume = "118",

journal = "Proceedings of the National Academy of Sciences of the United States of America",

issn = "0027-8424",

number = "40",

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TY - JOUR

T1 - Propagation of waves in high Brillouin zones

T2 - Chaotic branched flow and stable superwires

AU - Daza, Alvar

AU - Heller, Eric J.

AU - Graf, Anton M.

AU - Räsänen, Esa

N1 - Funding Information: We thank Alhun Aydin, Anatoly Obzhirov, Elizabeth Kozlov, Joonas Keski-Rahkonen, Shan Deneen, and Kobra Nasiri Avanaki for useful discussions. Financial support from NSF Center for Integrated Quantum Materials Grant DMR-12 313 19 and NSF Chemistry Grant 1800 101 is acknowledged. A.D. thanks the Real Colegio Complutense, which partially supported his research at Harvard University, and he also acknowledges support from the Spanish State Research Agency (AEI) and European Regional Development Fund (European Union) Projects FIS2016-76 883-P and PID2019-105554GB-I00. Publisher Copyright: © 2021 National Academy of Sciences. All rights reserved.

PY - 2021/10/5

Y1 - 2021/10/5

N2 - We report unexpected classical and quantum dynamics of a wave propagating in a periodic potential in high Brillouin zones. Branched flow appears at wavelengths shorter than the typical length scale of the ordered periodic structure and for energies above the potential barrier. The strongest branches remain stable indefinitely and may create linear dynamical channels, wherein waves are not confined directly by potential walls as electrons in ordinary wires but rather, indirectly and more subtly by dynamical stability. We term these superwires since they are associated with a superlattice.

AB - We report unexpected classical and quantum dynamics of a wave propagating in a periodic potential in high Brillouin zones. Branched flow appears at wavelengths shorter than the typical length scale of the ordered periodic structure and for energies above the potential barrier. The strongest branches remain stable indefinitely and may create linear dynamical channels, wherein waves are not confined directly by potential walls as electrons in ordinary wires but rather, indirectly and more subtly by dynamical stability. We term these superwires since they are associated with a superlattice.

KW - Branched flow

KW - Chaos

KW - Superlattices

KW - Wave dynamics

U2 - 10.1073/pnas.2110285118

DO - 10.1073/pnas.2110285118

M3 - Article

AN - SCOPUS:85115968197

VL - 118

JO - Proceedings of the National Academy of Sciences of the United States of America

JF - Proceedings of the National Academy of Sciences of the United States of America

SN - 0027-8424

IS - 40

M1 - e2110285118

ER -

Propagation of waves in high Brillouin zones: Chaotic branched flow and stable superwires

Abstract

Keywords

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