Geometric Currents in Piezoelectricity
نویسندگان
چکیده
As a simple model for piezoelectricity we consider a gas of infinitely many non-interacting electrons subject to a slowly timedependent periodic potential. We show that in the adiabatic limit the macroscopic current is determined by the geometry of the Bloch bundle. As a consequence we obtain the King-Smith and Vanderbilt formula up to errors smaller than any power of the adiabatic parameter. version: June 20, 2006
منابع مشابه
ar X iv : m at h - ph / 0 60 60 44 v 1 1 9 Ju n 20 06 GEOMETRIC CURRENTS IN PIEZOELECTRICITY
As a simple model for piezoelectricity we consider a gas of infinitely many non-interacting electrons subject to a slowly time-dependent periodic potential. We show that in the adiabatic limit the macroscopic current is determined by the geometry of the Bloch bundle. As a consequence we obtain the King-Smith and Vanderbilt formula up to errors smaller than any power of the adiabatic parameter.
متن کاملModeling Khowr-e Musa Multi-Branch Estuary Currents due to the Persian Gulf Tides Using NASIR Depth Average Flow Solver
The depth average module of NASIR finite volume solver was applied to study the tide induced currents in Khowr-e-Musa estuary. The model computes water level variation and velocity components in horizontal plane solving depth average continuity and momentum equations considering the hydrostatic pressure distribution. The software takes into account the bed and wall geometric complexities and re...
متن کاملStudy the Postbuckling of Hexagonal Piezoelectric Nanowires with Surface Effect
Piezoelectric nanobeams having circular, rectangular and hexagonal cross-sections are synthesized and used in various Nano structures; however, piezoelectric nanobeams with hexagonal cross-sections have not been studied in detail. In particular, the physical mechanisms of the surface effect and the role of surface stress, surface elasticity and surface piezoelectricity have not been discussed t...
متن کاملT-duality, Quotients and Currents for Non-Geometric Closed Strings
We use the canonical description of T-duality as well as the formulation of T-duality in terms of chiral currents to investigate the geometric and non-geometric faces of closed string backgrounds originating from principal torus bundles with constant Hflux. Employing conformal field theory techniques, the non-commutative and nonassociative structures among generalized coordinates in the so call...
متن کاملJoint T1 and Brain Fiber Log-Demons Registration Using Currents to Model Geometry
We present an extension of the diffeomorphic Geometric Demons algorithm which combines the iconic registration with geometric constraints. Our algorithm works in the log-domain space, so that one can efficiently compute the deformation field of the geometry. We represent the shape of objects of interest in the space of currents which is sensitive to both location and geometric structure of obje...
متن کامل