One common theme is power dynamics. Since Yellow Diamond is a very powerful figure and Peridot is much lower in the hierarchy, their interactions often explore this difference in power. Another theme is redemption. Sometimes, the fanfics will have Yellow Diamond seeking redemption for her past actions, and Peridot plays a role in that process.
I've read a 'peridot x yellow diamond fanfic' where it was set in a post - war scenario. The fanfic delved deep into how they both had to adjust to the new world order. Peridot was trying to find her place among the gems, and Yellow Diamond was dealing with the loss of her authority. Their relationship in this fanfic was a slow - burn type, starting from mutual suspicion to gradually understanding each other. It was really well - written with great character development.
Redemption and growth are also themes. Maybe Peridot helps Yellow Diamond see a different side of things, leading to her becoming a more empathetic character. Or vice versa, with Yellow Diamond guiding Peridot in some way. It could be about them growing together in an unexpected relationship.
You can try searching on fanfiction websites like Archive of Our Own (AO3) or FanFiction.net. There are often specific tags for Steven Universe characters, so you can look for 'Yellow Diamond x Peridot' under the relevant sections.
Their relationship could develop through mutual discovery. For example, Peridot could show Yellow Diamond the unique aspects of Earth that she has come to appreciate. Yellow Diamond, in turn, could share some of her knowledge of the Gem Homeworld with Peridot, creating a bond based on the exchange of ideas.
Emotional exploration is quite common. Since they are complex characters, fics might look at their hidden emotions, like love, envy, or respect. For example, a fic could show how they struggle to understand their feelings for each other. Friendship or a deeper relationship is also a theme that comes up a lot in these fics.
In 'pink diamond x yellow diamond fanfic', a common theme is the concept of change. How they change over time, either due to external factors or because of their relationship with each other. For example, yellow diamond might become more empathetic because of pink diamond, or vice versa. Another theme is the idea of legacy. Since they are diamonds, their actions and relationships can have a significant impact on their legacy, and this is often explored in fanfics.
One idea could be a story where Peridot tries to prove her worth to Yellow Diamond in a non - traditional way. Maybe she discovers a new form of energy on Earth that could benefit the Diamond Authority, and she has to convince Yellow Diamond to give her a chance to explore it further.
Since I don't know the specific 'yellow x white diamond fanfic', I can't say for sure about its plot. It could potentially be about the relationship between two entities named yellow and white diamond, perhaps their adventures, conflicts, or how they interact with other elements in the story's universe.
One popular 'yellow diamond x blue diamond fanfic' might be 'The Bond of Diamonds'. It delves into their complex relationship, exploring how their different personalities interact. In this fic, the author beautifully portrays the power dynamics between them.