کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9495468 1335131 2005 72 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Linear response theory for magnetic Schrödinger operators in disordered media
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Linear response theory for magnetic Schrödinger operators in disordered media
چکیده انگلیسی
We justify the linear response theory for an ergodic Schrödinger operator with magnetic field within the noninteracting particle approximation, and derive a Kubo formula for the electric conductivity tensor. To achieve that, we construct suitable normed spaces of measurable covariant operators where the Liouville equation can be solved uniquely. If the Fermi level falls into a region of localization, we recover the well-known Kubo-Str˘eda formula for the quantum Hall conductivity at zero temperature.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 226, Issue 2, 15 September 2005, Pages 301-372
نویسندگان
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