Non-equilibrium excited-state fractionally quantized Hall effects observed via current bias spectroscopy

Studies of fractional quantum Hall effects (FQHE) across various two-dimensional electronic systems (2DES) have helped to establish the equilibrium FQHE many-body ground states with fractionally charged excitations and composite particles in condensed matter. Then, the question arises whether an FQHE system driven to non-equilibrium can approach a different stationary state from the known equilibrium FQHE states. To investigate this question, we examine FQHE over filling factors, ν, 2 ≥ ν ≥ 1 under non-equilibrium finite bias conditions realized with a supplementary dc-current bias, IDC, in high mobility GaAs/AlGaAs devices. Here, we show that all observable canonical equilibrium FQHE resistance minima at ∣IDC∣ = 0 undergo bimodal splitting vs. IDC, yielding branch-pairs and diamond shapes in color plots of the diagonal resistance, as canonical FQHE are replaced, with increasing IDC, by excited-state fractionally quantized Hall effects at branch intersections. A tunneling model serves to interpret the results. Equilibrium transport phenomena known as fractional quantum Hall effects (FQHE) have elucidated the quantum ground states of interacting many-body systems. This study of FQHE transport in the non-equilibrium context finds a bimodal dc-bias-induced splitting of canonical FQHE, a diamond pattern in the resistance minima trajectories vs. the magnetic field and the dc-bias, and excited-state FQHE.