Transmission and reflection probabilities between the ν=1 and the ν= 2 3 quantum hall effects

We report a transport experiment in the quantum Hall regime on the transmission of electron waves from a region exhibiting the ν=1 integral quantum Hall effect, through a barrier region exhibiting the ν= 2 3 fractional quantum Hall effect. Our work represents the first transport study across an interface between an integral and a fractional quantum Hall effect. We analyze our data in terms of the Büttiker-Landauer formalism and conduction via Landau edge states. We find a transmission probability of 2 3 (0.999 ± 0.002) and a reflection probability of 1 3 (0.995 ± 0.003). These results can be interpreted in two ways: (1) they yield a quasi-particle charge of ( -e 3) ± 0.5% in the 2 3 effect, and (2) the single-particle electronic density of states is reduced to 2 3 the value for a non-interacting electron system. © 1990.

Duke Scholars

Author Albert M. Chang Physics