López Bonilla, Luis FranciscoCarretero Cerrajero, ManuelSegura Aragónes, Andrés2020-11-182020-11-182017-12-22Bonilla, L. L., Carretero, M. y Segura, A. (2017). Two-dimensional collective electron magnetotransport, oscillations, and chaos in a semiconductor superlattice. Physical Review E, 96(6), 062215.2470-0045https://hdl.handle.net/10016/31439When quantized, traces of classically chaotic single-particle systems include eigenvalue statistics and scars in eigenfuntions. Since 2001, many theoretical and experimental works have argued that classically chaotic single-electron dynamics influences and controls collective electron transport. For transport in semiconductor superlattices under tilted magnetic and electric fields, these theories rely on a reduction to a one-dimensional self-consistent drift model. A two-dimensional theory based on self-consistent Boltzmann transport does not support that single-electron chaos influences collective transport. This theory agrees with existing experimental evidence of current self-oscillations, predicts spontaneous collective chaos via a period doubling scenario, and could be tested unambiguously by measuring the electric potential inside the superlattice under a tilted magnetic field.10eng© 2017 American Physical Society.research articleMatemáticashttps://doi.org/10.1103/PhysRevE.96.062215open access6 (062215)Physical Review E96AR/0000020884