ALERT: This system is being upgraded on Tuesday December 12. It will not be available for use for several hours that day while the upgrade is in progress. Deposits to DukeSpace will be disabled on Monday December 11, so no new items are to be added to the repository while the upgrade is in progress. Everything should be back to normal by the end of day, December 12.

Now showing items 1-2 of 2

    • Defect resonances of truncated crystal structures 

      Lu, Jianfeng; Marzuola, Jeremy L; Watson, Alexander B
      Defects in the atomic structure of crystalline materials may spawn electronic bound states, known as \emph{defect states}, which decay rapidly away from the defect. Simplified models of defect states typically assume the ...
    • Riesz Energy on the Torus: Regularity of Minimizers 

      Lu, Jianfeng; Steinerberger, Stefan (2017-11-30)
      We study sets of $N$ points on the $d-$dimensional torus $\mathbb{T}^d$ minimizing interaction functionals of the type \[ \sum_{i, j =1 \atop i \neq j}^{N}{ f(x_i - x_j)}. \] The main result states that for a class of functions ...