15 papers
Shaping chaos in bilayer graphene cavities
Jucheng Lin, Yicheng Zhuang, Anton M. Graf +2
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 tunabl…
Coexistence of Anderson Localization and Quantum Scarring in Two Dimensions
Fartash Chalangari, Anant Vijay Varma, Joonas Keski-Rahkonen +1
We investigate finite two-dimensional disordered systems with periodic confinement. At low energies, eigenstates exhibit strong Anderson localization, while at higher energies a su…
Elastic, Quasielastic, and Superelastic Electron Scattering from Thermal Lattice Distortions in Perfect Crystals
Eric J. Heller, Anton M. Graf, Yubo Zhang +2
In standard treatments of electron transport, momentum relaxation in a perfect, defect-free crystal is linked with phonon creation or annihilation. In this work, we reconsider this…
Mobility Crossover in Two-Dimensional Berry Crystals
Zixuan Chai, Si-Yuan Chen, Chenzheng Yu +3
A Berry crystal is a random superposition of N plane waves of equal amplitude and fixed wavevector magnitude, propagating in different directions. Using numerical simulations of wa…
Quantum Birthmarks: Ergodicity Breaking Beyond Scarring
Anton M. Graf, Saul Atwood, Mingxuan Xiao +3
A hallmark of classical ergodicity is the complete loss of memory of the initial conditions due to eventual uniform covering of {\it a priori} available phase space. In quantum cou…
Universal Quantum Birthmark: Ghost of the quantum past
Ivy Xiaoya, Anton M. Graf, Eric J. Heller +1
Quantum dynamics retains a permanent and universal memory of its initial conditions, even in systems whose spectra display fully chaotic, random-matrix behavior. This effect, known…