Hi Michael Holthausen,

Yes you can search it alphabetically,

you need to add this field in (search view). (using code side)

so you can search alphabetical order. 

if you need to add odoo fronted though then

Enable developer mode:

After click on bug icon

Edit controlpanel view open and add your field which not search and save.

Thanks.

The Name column (translated_display_name) is dynamically calculated (not stored in the database) so cannot be sorted. 

We are working on a solution to sort non-stored fields in a future version of Odoo.