Journal
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
Volume 118, Issue 40, Pages -Publisher
NATL ACAD SCIENCES
DOI: 10.1073/pnas.2110285118
Keywords
branched flow; superlattices; chaos; wave dynamics
Categories
Funding
- NSF Center for Integrated Quantum Materials Grant [DMR-12 313 19]
- NSF Chemistry Grant [1800101]
- Real Colegio Complutense
- Spanish State Research Agency (AEI)
- European Regional Development Fund (European Union) [FIS2016-76 883-P, PID2019-105554GB-I00]
- Direct For Mathematical & Physical Scien
- Division Of Chemistry [1800101] Funding Source: National Science Foundation
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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, termed superwires, associated with a superlattice.
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.
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