Hall-effect metamaterials and “anti-Hall bars”

Multiprobe quantum spin Hall bars

We analyze electron transport in multiprobe quantum spin Hall (QSH) bars using the Büttiker formalism and draw parallels with their quantum Hall (QH) counterparts. We find that in a QSH bar the measured resistance changes upon introducing side voltage probes, in contrast to the QH case. We also study fourand six-terminal geometries and derive the expressions for the resistances. For these our a...

Current distribution in Hall bars and breakdown of the quantum Hall effect

A numerical study is made of current distribution in small Hall bars with disorder. It is observed , in particular, that in the Hall-plateau regime the Hall current tends to concentrate near the sample edges while it diminishes on average in the sample interior as a consequence of localization. Also reported is another numerical experiment on a related, but rather independent topic, the breakdo...

اثر هال (hall effect)

Anti-Lecture Hall Compositions

We study the set Ak of integer sequences = ( 1; : : : ; k), de ned by 1 1 2 2 : : : k k 0; and show that the generating function is X 2Ak q j = k Y

The Quantized Hall Effect