In addition to the powers and jurisdiction granted to state referees under sections 52-434 and 52-434a, a Chief Justice or a judge of the Supreme Court or Appellate Court, who has ceased to hold office as justice or judge because of having retired and who has become a state referee, may be designated by the Chief Justice of the Supreme Court to be eligible to be assigned by the Chief Judge of the Appellate Court to perform such duties of the office of judge of the Appellate Court as may be requested by the Chief Judge. The Chief Judge may assign no more than one state referee to sit on any one panel. No such designation may be for a term of more than one year. In performing the duties assigned, such retired Chief Justice or retired judge of the Supreme Court or Appellate Court shall exercise the same powers and jurisdiction as does a judge of the Superior Court who is qualified to serve as a judge on the Appellate Court.