Del. Code tit. 29, § 4605

For cause, the court may, on its own motion or upon the application of the Office of Defense Services or the indigent person, appoint the Office of Conflicts Counsel, or other qualified counsel, to represent the indigent person at any stage of the proceedings or on appeal. The attorneys contracting with the Office of Conflicts Counsel shall be awarded reasonable compensation and reimbursement for expenses necessarily incurred, to be fixed by the Chief Defender and paid through the Office of Conflicts Counsel.