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Molecules are a powerful platform to probe fundamental symmetry violationsbeyond the Standard Model, as they offer both large amplification factors androbustness against systematic errors. As experimental sensitivities improve, itis important to develop new methods to suppress sensitivity to externalelectromagnetic fields, as limits on the ability to control these fields are amajor experimental concern. Here we show that sensitivity to both externalmagnetic and electric fields can be simultaneously suppressed using engineeredradio frequency, microwave, or two-photon transitions that maintain largeamplification of CP-violating effects. By performing a clock measurement onthese transitions, CP-violating observables including the electron electricdipole moment, nuclear Schiff moment, and magnetic quadrupole moment can bemeasured with suppression of external field sensitivity of $\gtrsim$100generically, and even more in many cases. Furthermore, the method is compatiblewith traditional Ramsey measurements, offers internal co-magnetometry, and isuseful for systems with large angular momentum commonly present in molecularsearches for nuclear CP-violation.

Engineering field-insensitive molecular clock transitions for symmetry violation searches