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

^*Tämän työn vastaava kirjoittaja

Tutkimustuotos: Artikkeli › Tieteellinen › vertaisarvioitu

15 Sitaatiot (Scopus)

35 Lataukset (Pure)

Abstrakti

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.

Alkuperäiskieli	Englanti
Artikkeli	e2110285118
Sivumäärä	7
Julkaisu	Proceedings of the National Academy of Sciences of the United States of America
Vuosikerta	118
Numero	40
DOI - pysyväislinkit	https://doi.org/10.1073/pnas.2110285118
Tila	Julkaistu - 5 lokak. 2021
OKM-julkaisutyyppi	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Rahoitus

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.

Julkaisufoorumi-taso

Jufo-taso 3

!!ASJC Scopus subject areas

General

Pääsy asiakirjaan

10.1073/pnas.2110285118

Propagation of waves
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Accepted author manuscript, 16 MBLisenssi: Unspecified

https://arxiv.org/abs/2103.08943Lisenssi: CC BY
https://urn.fi/URN:NBN:fi:tuni-202110287938Lisenssi: Unspecified

Siteeraa tätä

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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",

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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

SN - 0027-8424

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

IS - 40

M1 - e2110285118

ER -

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

Abstrakti

Rahoitus

Julkaisufoorumi-taso

!!ASJC Scopus subject areas

Pääsy asiakirjaan

Sormenjälki

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