A different property of the resistive region with an antisymmetric tensor to that with a symmetric tensor

Let R
a1
be the resistance of two electrodes attached to opposite sides of the rectangular anisotropic region whose ratio of the two sides forming the right angle is l, and R
a2
be the resistance of the region whose ratio is 2l. In this letter, it is shown that R
a1
and R
a2
make the relations as: 1) R
a2
≥ 2R
a1
for the region with a symmetric surface resistivity tensor and 2) R
a2
≤ 2R
a1
for the region with an antisymmetric tensor.