The stress field and energy of screw dislocation in smectic-A liquid crystals and on the mistakes of the classical solution

摘要

The mistakes of the classical solution of screw dislocations in smectic-Aliquid crystals are pointed out. This reveals a serious problem of thewell-known theory, which may be named de Gennes-Kleman-Pershan paradox, formany decades in the scientific community of liquid crystal study. The correctsolution is given in this letter in terms of simplest, elementary andstraightforward solution method. Furthermore, the stress filed and energy ofdislocation are discussed in detail. The present article gives a correctedstress field and dislocation energy as well.