If you want to stop your neighbor's cat from visiting your home without leaving any traces, here are some methods to consider: 1. Use natural repellents: Place some smells that cats don't like, such as citrus peels, coffee grounds or vinegar, outside your home or in your garden. 2. Ultrasonic cat repellents: There are some ultrasonic devices on the market that are specifically designed to repel cats. They emit high-frequency sounds that cats can hear but people can't hear, and are usually effective in keeping cats away. 3. Rearrange your yard or garden: Change the layout of your yard or garden, such as adding some obstacles to make it difficult for cats to pass through certain parts of your home. 4. Spray a water gun: Prepare a water spray device and gently spray water when a cat approaches. Cats usually don't like water, and this experience will make it difficult for cats to come back easily next time. 5. Keep the garbage clean: Make sure there is no food or garbage exposed to attract cats. 6. Plant plants that cats don't like: Some plants, such as lavender and rosemary, have smells that cats don't like, so you can try planting them in the yard. While using these methods, it's best to communicate with your neighbors to understand why cats frequently visit and try to find a more appropriate solution.