We do not carry hardware for our Doors. It is difficult to recommend specific hardware, as installation requirements vary widely.
Please check with your local hardware store, as many carry hardware specifically for the narrower frames of Screen Doors. You can also research online. Below are some websites that had screen door hardware when we last checked. At each, follow their menus to locate Screen Door Hardware or search the site for 'screen door hardware'.
Alternatively, it may be possible to purchase just a narrow backplate (Google 'door hardware backplate' for starters) to use with hardware not specifically designed for Screen Doors.
We have many of our Screen Doors installed in our remote "accounting and advertising" offices. These are our standard Screen Doors, except we've fitted the storm glass option in place of screens to use them as interior french doors. We used french door-style latch/handle hardware, as this style of hardware features a narrow backplate.