Observation of continuum Landau modes in non-Hermitian electric circuits

Observation of continuum Landau modes in non-Hermitian electric circuits

27 February 2024 | Xuewei Zhang, Chaohua Wu, Mou Yan, Ni Liu, Ziyu Wang, Gang Chen
This paper reports the experimental observation of continuum Landau modes (CLMs) in non-Hermitian electric circuits. CLMs, predicted in a non-Hermitian Dirac Hamiltonian under a uniform magnetic field, are continuous bound states that do not exist in Hermitian systems. The authors simulate the non-Hermitian Dirac Hamiltonian using non-reciprocal hoppings and introduce a pseudomagnetic field through inhomogeneous complex on-site potentials. By measuring the admittance spectrum and eigenstates, they verify key features of CLMs, including an exotic voltage response that acts as a rainbow trap or wave funnel through full-field excitation. This response is attributed to the linear relationship between the CLMs' center position and complex eigenvalues. The study also demonstrates CLMs in both 1D and 2D non-Hermitian electric circuits, highlighting their unique properties and potential applications in various fields such as sensing, lasing, and wave manipulation.This paper reports the experimental observation of continuum Landau modes (CLMs) in non-Hermitian electric circuits. CLMs, predicted in a non-Hermitian Dirac Hamiltonian under a uniform magnetic field, are continuous bound states that do not exist in Hermitian systems. The authors simulate the non-Hermitian Dirac Hamiltonian using non-reciprocal hoppings and introduce a pseudomagnetic field through inhomogeneous complex on-site potentials. By measuring the admittance spectrum and eigenstates, they verify key features of CLMs, including an exotic voltage response that acts as a rainbow trap or wave funnel through full-field excitation. This response is attributed to the linear relationship between the CLMs' center position and complex eigenvalues. The study also demonstrates CLMs in both 1D and 2D non-Hermitian electric circuits, highlighting their unique properties and potential applications in various fields such as sensing, lasing, and wave manipulation.
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