Shaping chaos in bilayer graphene cavities

Fuente: arXiv
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Autori principali: Lin, Jucheng, Zhuang, Yicheng, Graf, Anton M., Keski-Rahkonen, Joonas, Heller, Eric J.
Natura: Preprint
Pubblicazione: 2025
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author Lin, Jucheng
Zhuang, Yicheng
Graf, Anton M.
Keski-Rahkonen, Joonas
Heller, Eric J.
author_facet Lin, Jucheng
Zhuang, Yicheng
Graf, Anton M.
Keski-Rahkonen, Joonas
Heller, Eric J.
contents Bilayer graphene cavities where electrons are confined within finite graphene flakes provide an alluring platform not only for the future nanoelectronic devices owing to the tunable energy gap but also for investigating the quantum nature of chaos due to the trigonal warping of their Fermi surface. Here we demonstrate that rotating the cavity boundary relative to the underlying lattice structure drives a quantum transition from nearly integrable dynamics to chaotic regime, observed as a concomitant crossover of eigenvalue statistics and eigenstate profiles. Complementing the full quantum treatment, we examine the classical backbone of this onset of chaos by employing semiclassical ray dynamics. Our results position bilayer graphene cavities as a promising venue for investigating and engineering quantum-chaotic behavior in graphene-based devices.
format Preprint
id arxiv_https___arxiv_org_abs_2512_10914
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Shaping chaos in bilayer graphene cavities
Lin, Jucheng
Zhuang, Yicheng
Graf, Anton M.
Keski-Rahkonen, Joonas
Heller, Eric J.
Mesoscale and Nanoscale Physics
Disordered Systems and Neural Networks
Statistical Mechanics
Bilayer graphene cavities where electrons are confined within finite graphene flakes provide an alluring platform not only for the future nanoelectronic devices owing to the tunable energy gap but also for investigating the quantum nature of chaos due to the trigonal warping of their Fermi surface. Here we demonstrate that rotating the cavity boundary relative to the underlying lattice structure drives a quantum transition from nearly integrable dynamics to chaotic regime, observed as a concomitant crossover of eigenvalue statistics and eigenstate profiles. Complementing the full quantum treatment, we examine the classical backbone of this onset of chaos by employing semiclassical ray dynamics. Our results position bilayer graphene cavities as a promising venue for investigating and engineering quantum-chaotic behavior in graphene-based devices.
title Shaping chaos in bilayer graphene cavities
topic Mesoscale and Nanoscale Physics
Disordered Systems and Neural Networks
Statistical Mechanics
url https://arxiv.org/abs/2512.10914