Localization for a Matrix-valued Anderson Model
نویسندگان
چکیده
منابع مشابه
Localization for a Matrix-valued Anderson Model
We study localization properties for a class of one-dimensional, matrix-valued, continuous, random Schrödinger operators, acting on L2(R) ⊗ C , for arbitrary N ≥ 1. We prove that, under suitable assumptions on the Fürstenberg group of these operators, valid on an interval I ⊂ R, they exhibit localization properties on I, both in the spectral and dynamical sense. After looking at the regularity ...
متن کاملPositivity of Lyapunov Exponents for a Continuous Matrix-valued Anderson Model
Abstract. We study a continuous matrix-valued Anderson-typemodel. Both leading Lyapunov exponents of this model are proved to be positive and distinct for all energies in (2,+∞) except those in a discrete set, which leads to absence of absolutely continuous spectrum in (2,+∞). This result is an improvement of a previous result with Stolz. The methods, based upon a result by Breuillard and Gelan...
متن کاملHölder Continuity of the Ids for Matrix-valued Anderson Models
We study a class of continuous matrix-valued Anderson models acting on L2(Rd) ⊗ C . We prove the existence of their Integrated Density of States for any d ≥ 1 and N ≥ 1. Then for d = 1 and for arbitrary N , we prove the Hölder continuity of the Integrated Density of States under some assumption on the group GμE generated by the transfer matrices associated to our models. This regularity result ...
متن کاملThe two - dimensional Anderson model of localization
We examine the localization properties of the 2D Anderson Hamiltonian with oo-diagonal disorder. Investigating the behavior of the participation numbers of eigenstates as well as studying their multifractal properties, we nd states in the center of the band which show critical behavior up to the system size N = 200200 considered. This result is connrmed by an independent analysis of the localiz...
متن کاملAnderson Localization
From the start of their studies students in condensed matter physics are exposed to ordered systems. These systems can be very simple and give insight into the physics of many materials. However it seems that much of what is learned in ordered systems cannot be brought to disordered systems. Instead new conceptual understandings much be reached will very different consquences. One of these is t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Physics, Analysis and Geometry
سال: 2009
ISSN: 1385-0172,1572-9656
DOI: 10.1007/s11040-009-9061-3