What is Archbishop?

Legal Definition
In Christianity, an archbishop (/ˌɑːrˈbɪʃəp/, via Latin archiepiscopus, from Greek ἀρχιεπίσκοπος, from ἀρχι-, "chief", and ἐπίσκοπος, "bishop") is a bishop of higher rank or office. In some cases, like the Lutheran Church of Sweden, it is the denomination leader title. Like popes, patriarchs, metropolitans, cardinal bishops, diocesan bishops, and suffragan bishops, archbishops are in the highest of the three traditional orders of bishops, priests, also called presbyters, and deacons. An archbishop may be granted the title, or ordained as chief pastor of a metropolitan see or another episcopal see to which the title of archbishop is attached.
-- Wikipedia
Legal Definition
Eccl. law. The chief of the clergy of a whole province. He has the, inspection of the bishops of that province, as well as of the inferior clergy, and may deprive them on notorious cause. The archbishop has also his own diocese, in which he exercises, episcopal jurisdiction, as in his province he exercises archiepiscopal authority. 1 Bl. Com. 380; L. Raym. 541; Code, 1, 2.
-- Bouviers Law Dictionary
Legal Definition
In English ecolesias-tical law. The chief of the clergy in his province, having supreme power under the king or queen in all ecolesiastical causes.
-- Black's Law Dictionary
Legal Definition
The head of the ecclesiastical power in his province.
-- Ballentine's Law Dictionary