mysql query to sort alphabetically group by item with count >1 and count = 1 separately on same list

I have a list of listings with

1. Texas with count 5
2. New york with count 6
3. Alabama with count 4
4. LA with 1
5. Boston with 1
6. Washington with 1

I want to order to

1. Alabama
2. Newyork
3. Texas
4. Boston
5. LA
6. Washington

So anything with count()>1 should be arrange alphabetically to top of list and anything with count()1 should be arrange alphabetically at bottom of list.

Currently i have used

 $orderby = 'counter DESC, display_value ASC';

but its giving me

1. New york
2. Texas
3. Alabama
4. Boston
5. LA
6. Washington