Literature Reference: 自到西川住，唯君别有情。常逢对门远，又隔一重城。—— 《移住别居》 Since arriving in Sichuan, only you have a special affection. Often facing the distant neighbor, yet separated by another city wall. Source from 'Yi Zhu Bie Ju'.
别: To decompose, it also carries the meanings of separation, division, and categorization.
居:
"Dwelling. The character derives from the wood radical, aiding in the harmonious expression of auspicious energies."
Meaning: Bieju signifies a dwelling after separation, embodying the emotions of parting and the meaning of independence.