Study about Diatomic Chain with a Mass Impurity
The recurrence relations approach is used to investigate how an impurity influences a harmonic oscillator chain. A standard diatomic chain with one mass impurity is analysed. Two pairs of resonant poles and three branch cuts provide the impurity’s momentum Autocor- relation function. The pole contribution is provided by cosine(s), whereas the cut contribution is provided by the acoustic and optic branches. The extension of even-order Bessel functions is used to express both branches. For the acoustic branch, the expansion coefficients are integrals of Jacobian elliptic functions along the real axis in a complex plane, and for the optical branch, integrals along a contour parallel to the imaginary axis. The estimated pole and cut contributions show how the mass impurity affects the mass impurity’s momentum autocorrelation function in a typical diatomic chain, and so give greater insight into the mass impurity’s momentum autocorrelation function.
Ming B. Yu,
8000 Badura Ave. Unit 1053, Las Vegas, NV. 89113, USA.
Please see the link here: https://stm.bookpi.org/NTPSR-V5/article/view/7163