Duality symmetries and effective dynamics in disordered hopping models
نویسندگان
چکیده
We identify a duality transformation in one-dimensional hopping models that relates propagators in general disordered potentials related by an up-down inversion of the energy landscape. This significantly generalises previous results for a duality between trap and barrier models. We use the resulting insights into the symmetries of these models to develop a real-space renormalisation scheme that can be implemented computationally and allows rather accurate prediction of propagation in these models. We also discuss the relation of this renormalisation scheme to earlier analytical treatments. Duality symmetries and effective dynamics in disordered hopping models 2
منابع مشابه
The Dual Faces of String
Duality symmetries for strings moving in non-trivial spacetime backgrounds are analysed. It is shown that, for backgrounds generated from compact WZW and coset models, such duality symmetries are exact to all orders in string perturbation theory. A global treatment of duality symmetries is given, by associating them to the known symmetries of affine current algebras ( affine-Weyl group and exte...
متن کاملDuality Symmetries and Topology Change in String Theory
Duality symmetries for strings moving in non-trivial spacetime backgrounds are analysed. It is shown that for backgrounds generated from WZW and coset CFT models such duality symmetries are exact to all orders in string perturbation theory. Their implications for string dynamics in non-trivial/singular spacetimes are discussed. CERN-TH.7003/93 September 1993 ∗ Talk given at the EPS 93 Conferenc...
متن کاملElectronic Transmission Wave Function of Disordered Graphene by Direct Method and Green's Function Method
We describe how to obtain electronic transport properties of disordered graphene, including the tight binding model and nearest neighbor hopping. We present a new method for computing, electronic transport wave function and Greens function of the disordered Graphene. In this method, based on the small rectangular approximation, break up the potential barriers in to small parts. Then using the f...
متن کاملClassical Duality Symmetries in Two Dimensions 1
Many two-dimensional classical field theories have hidden symmetries that form an infinite-dimensional algebra. For those examples that correspond to effective descriptions of compactified superstring theories, the duality group is expected to be a large discrete subgroup of the hidden symmetry group. With this motivation, we explore the hidden symmetries of principal chiral models and symmetri...
متن کاملExact Steady States of Disordered Hopping Particle Models with Parallel and Ordered Sequential Dynamics
A one-dimensional driven lattice gas with disorder in the particle hopping probabilities is considered. It has previously been shown that in the version of the model with random sequential updating, a phase transition occurs from a low density inhomogeneous phase to a high density congested phase. Here the steady states for both parallel (fully synchronous) updating and ordered sequential updat...
متن کامل