Localization in the Anderson Model with Long Range Hopping
نویسنده
چکیده
We give a proof of exponential localization in the Anderson model with long range hopping based on a multiscale analysis.
منابع مشابه
Anderson localization on Falicov-Kimball model with next-nearest-neighbor hopping and long-range correlated disorder
The phase diagram of correlated, disordered electron systems is calculated within dynamical mean-field theory for the Anderson-Falicov-Kimball model with nearest-neighbors and next-nearestneighbors hopping. The half-filled band is analyzed in terms of the chemical potential of the system using the geometric and arithmetic averages. We also introduce the on-site energies exhibiting a long-range ...
متن کاملHopping Conductivity in Single Crystals (Cd0.6Zn0.32Mn0.08)3As2 (RESEARCH NOTE)
The growth processes of Tetragonal single crystals of solid solution (Cd0.6Zn0.32Mn0.08)3As2, space group P42/nmc, has been synthesized by Bridgman method. Conductivity and magnetoresistance of (Cd0.6Zn0.32Mn0.08)3As2 were measured in the range 1.6K to 300K and in magnetic field up to 25 T. Crossover from Mott variable-range-hopping conductivity mechanism close to helium temperatures. In this w...
متن کاملرسانایی و ابررسانایی توسط تهی جاهای الماسی
Motivated by the idea of impurity band superconductivity in heavily Boron doped diamond, we investigate the doping of various elements into diamond to address the question, which impurity band can offer a better DOS at the Fermi level. Surprisingly, we find that the vacancy does the best job in producing the largest DOS at the Fermi surface. To investigate the effect of disorder in Anderson l...
متن کاملModifications to Walker-Anderson Model for Analysis of High-velocity Penetration of an Eroding Long-rod Projectile into Semi-infinite Concrete Targets
This paper presents a modified form of the Walker-Anderson (W-A) model for analyzing high velocity penetration of an eroding projectile into a concrete target in which the W-A model is improved by incorporating calculations for the plastic flow field of concrete in terms of its compressibility and strain rate sensitivity under severe pressure. With the changes to and calculations of plastic fie...
متن کاملLocalization and Eigenvalue Statistics for the Lattice Anderson model with Discrete Disorder
We prove localization and probabilistic bounds on the minimum level spacing for the Anderson tight-binding model on the lattice in any dimension, with singlesite potential having a discrete distribution taking N values, with N large. These results hold for all energies under an assumption of weak hopping.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1997