N.M. Const. art. IV, § 28

[Appointment of present and former legislators to office; interest of legislators in contracts.] No member of the legislature shall, during the term for which he was elected, be appointed to any civil office in the state, nor shall he within one year thereafter be appointed to any civil office created, or the emoluments of which were increased during such term; nor shall any member of the legislature during the term for which he was elected nor within one year thereafter, be interested directly or indirectly in any contract with the state or any municipality thereof, which was authorized by any law passed during such term.