Contrasting Pathways to Mott Gap Collapse in Electron and Hole Doped Cuprates

Recent ARPES measurements on the electron-doped cuprate Nd_{2-x}Ce_xCuO_4 can be interpreted in a mean field model of uniform doping of an antiferromagnet, with the Mott gap closing near optimal doping. Mode coupling calculations confirm the mean field results, while clarifying the relation between the Mott gap and short-range magnetic order. The same calculations find that hole doped cuprates should follow a strikingly different doping dependence, involving instability toward spiral phases or stripes. Nevertheless, the magnetic order (now associated with stripes) again collapses near optimal doping.Comment: 5 eps figures, revtex. Presented at the ``Workshop on Intrinsic Multiscale Structure and Dynamics in Complex Electronic Oxides'', at the International Center for Theoretical Physics, Trieste, Italy, July 1-4, 2002; to be published, in ``Intrinsic Multiscale Structure and Dynamics in Complex Electronic Oxides'', edited by A.R. Bishop, S.R. Shenoy, and S. Sridhar, World Scientific (2003

Chaos in a Jahn-Teller Molecule

The Jahn-Teller system E x b_1 + b_2 has a particular degeneracy, where the vibronic potential has an elliptical minimum. In the general case where the ellipse does not reduce to a circle, the classical motion in the potential is chaotic, tending to trapping near one of the extrema of the ellipse. In the quantum problem, the motion consists of correlated tunneling from one extremum to the opposite, leading to an average angular momentum reminiscent of that of the better known E x e dynamic Jahn-Teller system.Comment: 7 eps figures, revtex. To be published, Phys. Rev.

Sampled data analysis of a computer-controlled manipulator

A comprehensive sampled data analysis of a computer-controlled manipulator is presented in terms of root loci for gain selection and transient responses to step input functions. All parameter values and their derivations where applicable were tabulated. The analysis, while quite specific, uses normalized gain parameters, which allows the results to be applied to any similar system regardless of individual hardware parameter values