= Landauer-Büttiker formula
{c}
{title2=$I_i=(e^2/h)[N_iV_i-\sum_jT_{ij}V_j]$}
A multi-reservoir <quantum transport> relation. Here $I_i$ is conventional current injected from reservoir $i$, $N_i$ counts outgoing spin-resolved modes and $T_{ij}$ counts transmission from reservoir $j$ into $i$. Ideal voltage probes draw zero net current and equilibrate incident carriers. On a chiral integer Hall edge with $N$ modes, $I_i=(Ne^2/h)(V_i-V_{i-1})$ for the stated circulation order.
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