How to componentize Ember.js controller?

I have a JSTree tree schema that I've implemented in an Ember app. I'd like to break it out into a component, but I'm kind of stuck.

Currently I have this controller, which I have moved wholesale into a component in the directory with the rest of my components called tree-schema.js:

export default Ember.Controller.extend({
  schema: Ember.computed.alias('model'),
  themes: null,
  treeSchema: Ember.computed('schema', function treeSchema() {
    // treeSchema config
  }),

});

But when I try to reference the component's treeSchema attribute in my emblem template it never hits this if block:

  if treeSchema
    .integrations-list
      tree-schema [
        / tree-schema attrs
      ]

What am I missing?