RT Journal Article T1 Two-dimensional collective electron magnetotransport, oscillations, and chaos in a semiconductor superlattice A1 López Bonilla, Luis Francisco A1 Carretero Cerrajero, Manuel A1 Segura Aragónes, Andrés AB When 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. PB American Physical Society SN 2470-0045 YR 2017 FD 2017-12-22 LK https://hdl.handle.net/10016/31439 UL https://hdl.handle.net/10016/31439 LA eng NO This work has been supported by Ministerio de Economía y Competitividad (Spain) Grant No. MTM2014-56948-C2-2-P. DS e-Archivo RD 1 sept. 2024