Non-Hermitian exceptional Landau quantization in electric circuits

Alternating current RLC electric circuits form an accessible and highly tunable platform simulating Hermitian as well as non-Hermitian quantum systems. We propose here a realization of a time-reversal invariant pseudo-magnetic field, enabling the exploration of non-Hermitian physics under external magnetic field. Based on circuit realizations of non-Hermitian Dirac and Weyl systems under magnetic field, we identify the low-energy physics with a generic real energy spectrum from the non-Hermitian relativistic Landau quantization of exceptional points and rings, avoiding the non-Hermitian skin effect and providing a physical example of quasiparticles moving in the complex plane. Realistic detection schemes are designed that can be used to probe the flat energy bands, sublattice polarization, edge states protected by a non-Hermitian sublattice symmetry, and a characteristic nodeless probability distribution.