Here is a list of steps to help you fix a broken or unresponsive home button:

1. Backup your important data.
2. Restart your device.
3. Go to the Settings and check if the home button is enabled.
4. Check if the home button works in some other application.
5. Update the software to the latest version.
6. Reset settings to factory defaults.
7. Take your device to an authorized service center, if the issue still persists.

If professional help is not required, you should also try a few home button related troubleshooting steps like cleaning the button, restarting the phone few times or trying it using a bluetooth or external keyboards.