The most directly relevant dua mentioned specifically for love is a supplication for Allah's love and the love of those whom Allah loves, ultimately leading to Allah's love becoming greater than the love of oneself.
Here's the dua:
Arabic: اللَّهُمَّ إِنِّي أَسْأَلُكَ حُبَّكَ، وَحُبَّ مَنْ يُحِبُّكَ، وَالْعَمَلَ الَّذِي يُبَلِّغُنِي حُبَّكَ. اللَّهُمَّ اجْعَلْ حُبَّكَ أَحَبَّ إِلَيَّ مِنْ نَفْسِي، وَأَهْلِي، وَمِنَ الْمَاءِ الْبَارِدِ
Transliteration: Allahumma inni as'aluka Hubbaka, wa Hubba man yuHibbuka, wal-'amalalladhi yuballighuni Hubbaka. Allahumm-aj'al Hubbaka ahabba ilayya min nafsi, wa ahli, wa minal-ma'il-baridi.
Translation: "O Allah, I ask You for Your Love, and the love of those who love You, and deeds which will cause me to attain Your Love. O Allah, make Your Love dearer to me than myself, my family, and cold water." (At-Tirmidhi)
This dua is powerful because it asks Allah (SWT) to instill in the supplicant a deep love for Him, for those who love Him, and to guide them toward actions that bring them closer to His love. The ultimate goal is to have Allah's love supersede all other loves, including self-love, familial love, and even the love for basic necessities like cold water in a desert climate. This signifies a complete devotion and reliance on Allah (SWT).
While this dua is primarily for divine love, its sincere recitation can indirectly influence human relationships. When someone's heart is filled with the love of Allah, it naturally reflects in their interactions with others, fostering kindness, compassion, and genuine affection. It creates a foundation for healthier and more loving relationships with family, friends, and spouses.
