You are using get_categories() function and this function have not ‘depth‘ argument. Also php is not supporting $cat-id
variable. it would be $cat_id
.
So try this kind of code:
$cat_id = get_query_var('cat');
$args=array(
'parent' => $cat_id,
'hide_empty' => 0,
'orderby' => 'name',
'order' => 'ASC'
);