Fig. 4: Manifestation of non-equilibrium FQHE at branch line intersections. | Communications Physics

Fig. 4: Manifestation of non-equilibrium FQHE at branch line intersections.

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

Fig. 4

The three columns examine the trajectory intersections that are marked by colored dots in panels (ac), within the domain spanned by vertical lines. The second row with panels (df) shows a magnified image of the relevant part of the color plots of the diagonal resistance from the first row. In panels (gl), IDC is the bias current, Rxx is the diagonal resistance, and Rxy is the off-diagonal Hall resistance. Panels (gi), show line graphs of the Rxx, and Rxy for 0.525 ≤ IDC ≤ 0.675 μA, 0.175 ≤ IDC ≤ 0.325 μA, and 0.475 ≤ IDC ≤ 0.625 μA, respectively. Panels (gi) should be compared with panels (jl), which show line graphs of Rxx and Rxy for IDC = 0 μA. Fractionally quantized Hall effects in panels (gl) are marked by short horizontal line segments. A comparision of the panel-pair (j, g) shows that the 4/3 and 7/5 FQHEs disappear in favor of 15/11. Similarly, the panel pair (k, h) shows that the 7/5 and 10/7 FQHEs disappear in favor of 17/12. Finally, the panel pair (l, i) shows that the 5/3 and 8/5 FQHEs disappear in favor of 13/8.

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