You could use windowed COUNT:
SELECT sub.name, sub.employee_id
FROM (SELECT *, COUNT(*) OVER(PARTITION BY employee_id) AS c
FROM users) AS sub
WHERE c > 1;
LiveDemo
or simple IN:
SELECT *
FROM users
WHERE employee_id IN (SELECT employee_id
FROM users
GROUP BY employee_id
HAVING COUNT(employee_id) > 1);
LiveDemo2
or correlated subquery:
SELECT name, employee_id
FROM users u
,LATERAL (SELECT COUNT(*) FROM users u2 WHERE u.employee_id = u2.employee_id) AS s(c)
WHERE c > 1;
SqlFiddleDemo