Abstract
Smoothness of the integrated density of states, k( E), of random Schrödinger operators, i.i.d. and non-i.i.d. cases, on a discrete strip lattice is investigated. It is proven that k( E) is C ∞ if only the potentials on the top surface of the strip have distributions with compactly supported densities in some fractional Sobolev space. The C ∞-result for the case of the Anderson model, i.e., all potentials having a distribution with compactly supported density in some Sobolev space, is also recovered.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
