Phonon Frequency Spectrum and Lattice Dynamics and Normal Coordinate Analysis of HTSC Tl2Ca2Ba2Cu3O10

doi:10.7176/apta/80-04

Abstract

The lattice dynamics of the high temperature superconductors Tl 2 Ca 2 Ba 2 Cu 3 O 10 has been investigated on the basis of the three body force shell model (TSM). The various interactions between ions are treated on a general way without making them numerically equal. The phonon frequency at the zone centre of Brillouin zone are presented and the vibrational assignments are discussed. Further the normal coordinate calculation has also been employed to study the vibrational analysis of this compound. The normal coordinate analysis of the superconductor Tl 2 CaBa 2 Cu 2 O 8 has been calculated by using Wilson’s F-G matrix method which is useful for the confirmation of our present investigation. The vibrational frequencies and the potential energy distribution (PED) of the optically active phonon modes are also presented. DOI : 10.7176/APTA/80-04 Publication date :October 31 st 2019

Highlights

The study of the lattice dynamics of the high-temperature superconductors is of importance for the overall physical characterization of these compounds and for an assessment of the role played by the phonons i.e., the superconducting phenomenon
A lattice dynamical study requires the knowledge of the crystal structure and the particle interactions
For particle interactions one has to use models, which represent the characteristic of the electronic structure and its effect on ionic interaction in a relevant manner

Summary

Introduction

The study of the lattice dynamics of the high-temperature superconductors is of importance for the overall physical characterization of these compounds and for an assessment of the role played by the phonons i.e., the superconducting phenomenon. The evaluated Raman phonon frequency at 401 cm-1 is due to the vibration of O(1), O(4) and Ca atoms and the Ca atom is vibrating 180 out of phase to O (1) and O(4) atoms and the observed frequency 407 cm-1 agrees very well with the calculated frequency.

Results

Conclusion