Random Dimer Model: Escape from Localization
نویسنده
چکیده
The Anderson localization is introduced as well as the scaling theory of localization. These predict the absence of the metallic state in 1 and 2 dimensions. In such a theoretical background, the random dimmer model is shown to be novel due to its ability to escape from localization. This model is also shown to be applicable to describe the insulator-metal transition in a wide range of conducting polymer, such as polyaniline.
منابع مشابه
The generalized localization lengths in one dimensional systems with correlated disorder
The scale invariant properties of wave functions in finite samples of one dimensional random systems with correlated disorder are analyzed. The random dimer model and its generalizations are considered and the wave functions are compared. Generalized entropic localization lengths are introduced in order to characterize the states and compared with their behavior for exponential localization. An...
متن کاملLocalization-delocalization transition in a presence of correlated disorder: The Random Dimer Model
The one dimensional dimer model is investigated and the localization length calculated exactly. The presence of delocalized states at Ec = ǫa,b of two possible values of the chemical potential in case of | ǫa − ǫb |≤ 2 is confirmed and the corresponding indices of the localization length were calculated. The singular integral equation connecting the density of states with the Lyapunov exponent ...
متن کاملar X iv : m at h - ph / 0 21 10 57 v 1 2 2 N ov 2 00 2 LOCALIZATION FOR DISCRETE ONE DIMENSIONAL RANDOM WORD MODELS
We consider Schrödinger operators in ℓ 2 (Z) whose potentials are obtained by randomly concatenating words from an underlying set W according to some probability measure ν on W. Our assumptions allow us to consider models with local correlations, such as the random dimer model or, more generally , random polymer models. We prove spectral localization and, away from a finite set of exceptional e...
متن کاملPhoton localization and Dicke superradiance in atomic gases.
Photon propagation in a gas of N atoms is studied using an effective Hamiltonian describing photon-mediated atomic dipolar interactions. The density P(Gamma) of photon escape rates is determined from the spectrum of the NxN random matrix Gamma_{ij}=sin(x_{ij})/x_{ij}, where x_{ij} is the dimensionless random distance between any two atoms. Varying disorder and system size, a scaling behavior is...
متن کاملLocalization for Discrete One Dimensional Random Word Models
We consider Schrödinger operators in l(Z) whose potentials are obtained by randomly concatenating words from an underlying set W according to some probability measure ν on W. Our assumptions allow us to consider models with local correlations, such as the random dimer model or, more generally, random polymer models. We prove spectral localization and, away from a finite set of exceptional energ...
متن کامل