A unified non-interacting-electron theory of the integer and fractional quantum Hall conductance

التفاصيل البيبلوغرافية
العنوان: A unified non-interacting-electron theory of the integer and fractional quantum Hall conductance
المؤلفون: DelRe, Eugenio, Di Porto, Paolo
سنة النشر: 2022
المجموعة: Condensed Matter
مصطلحات موضوعية: Condensed Matter - Mesoscale and Nanoscale Physics
الوصف: We generalize the Laughlin argument for the integer quantum Hall effect of non-interacting two-dimensional electrons by taking into account the full three-dimensional nature of gauge symmetry. This naturally leads to the prediction of the principal experimental results on the quantum Hall effect, including the integer and fractional values and plateau widths of quantized Hall conductance. The approach includes, in a fundamental way, the influence of spin, allowing the description of both single electrons and Cooper pairs. Not requiring the introduction of strongly correlated multi-particle states nor a key role for disorder, the unified analysis sheds light on the profound connection between dimensionality, symmetry, and quantum behavior.
Comment: 6 pages, 3 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2206.06038
رقم الأكسشن: edsarx.2206.06038
قاعدة البيانات: arXiv