【摘要】 对具有在位势且含杂质的一维双原子链的晶格振动方程组进行求解,得到了局域振动的解析解,给出了在位势对局域振动影响的基本特征,并简要讨论了局域模的存在形式.通过研究发现,在位势的存在使得杂质产生的高频模和隙模的频率升高,局域性变好,于一定条件下在声学支内和光学支内产生新的局域模,从而显著影响了晶格局域振动的色散关系.更多还原

【Abstract】 The lattice vibration equations of a diatomic chain with an impurity atom and on-site potential are solved.The analytic solutions of local vibration are obtained.The basic features of the effect of onsite potential on the local vibration are given,and the existence forms of localized mode are also discussed. With the on-site potential existence,it is found that the frequency of the high frequency mode and gap vibration mode increase,the degree of locality get better and the new local vibration mode are generated in the acoustic branch and optical branch,which means the disperse relation of the lattice vibration is effected markedly by the on-site potential.更多还原