I'm not entirely sure as I don't usually read this type of fanfiction. But I imagine one trope could be the miscommunication that leads to the cheating situation. Another might be the introduction of new characters that cause the relationship problems. However, the 'lemon' aspect might bring in tropes related to adult - like situations, which is not really in line with the original Percy Jackson which is more aimed at younger audiences.
In 'Percy Jackson Cheating Lemon Fanfiction', a common trope might be the 'betrayal' trope where one character cheats on another, causing a rift in the relationship. This could be due to jealousy or a sense of being unappreciated. Regarding the 'lemon' aspect, it may include tropes like the use of seduction or the idea of a passionate but wrong relationship. However, these tropes are quite far from the original themes of the Percy Jackson series which are centered around heroism, loyalty, and the struggle against the forces of evil. Also, such fanfictions may not be appropriate for the general audience of the Percy Jackson books, especially younger readers.
One common trope is the 'Reluctant Partners'. Percy or the other character involved is usually very reluctant about the arranged marriage at first. They might resist it and try to find a way out. For example, Percy might think it goes against his free - will and his loyalty to his friends and previous relationships.
I'm not really into fanfictions that involve cheating themes as they can be a bit unethical in the context of the original characters. However, you might be able to find some by searching on dedicated fanfiction websites. Just keep in mind that the 'lemon' aspect often implies mature or inappropriate content, so it's best to avoid those if you're looking for more positive or canon - friendly stories.
One common trope is the outcast status. Since Hera is not the most liked among the gods in the Percy Jackson universe, her son is often made an outcast among the demigods. Another is the special powers. He might have some unique abilities related to Hera's domain, like control over family bonds or something similar.
Another theme is the exploration of forbidden love. Hera is a married goddess in the original mythology, so a relationship with Percy would be considered taboo. Fanfictions often play with this idea, creating a sense of danger and excitement. The lemon aspect usually comes in to heighten the emotional and physical connection between them within this forbidden context.
One common theme is the strong bond of family. Sally's love for Percy is often at the center, showing how she would do anything to protect him. Another theme is the idea of home. Since Sally represents home for Percy, many fanfictions explore this concept.
One major theme is self - discovery. Zoe may discover new sides of herself through her interactions with Percy, and vice versa. Also, the theme of loyalty is present. They have to be loyal to each other in the face of danger and the many foes in the Percy Jackson universe.
Love and romance can also be a theme. Some fanfictions develop a romantic relationship between Percy and Kelli. This can add a whole new layer of drama and emotion to the story. And then there's the theme of self - discovery. As they interact, both characters might learn more about themselves, like their strengths and weaknesses.
One common trope could be the 'unexpected allure' trope. Where Percy suddenly has this overwhelming charm that catches everyone off - guard. Another might be the 'love triangle' trope, with Percy as the center of attraction between multiple characters due to his new - found'sex god' status.
Well, in 'cliche percy jackson fanfic', there's often the 'lost sibling' trope. For example, a character suddenly discovers they are Percy's long - lost sister or brother, which then leads to a whole bunch of drama and exploration of their new relationship. Then there's the 'mentor - like figure' who shows up out of nowhere to help the main character in the fanfic. This figure usually has some ancient and super - wise knowledge. And of course, the 'prophecy' trope. The main character is given a prophecy that they must fulfill, which drives the whole plot forward and usually involves a lot of dangerous quests.
The 'fish - out - of - water' trope is also seen a lot. When Percy ends up in Thor's world or vice versa, they are both out of their element. Percy has to deal with the strange Norse landscapes and customs, while Thor might struggle with the modern - day world if he goes to Percy's. It creates a lot of comical and interesting situations in the fanfiction.