For a circular dot with the lateral size larger than the exchange length l(
ex)(= A(1/2)/M-s), it is well known that the stable remanent state is a vor
tex structure where the spins around the center of the dot direct up- or do
wn-ward. If only these two states are allowed in the vortex structure, it i
s possible to use it as a bi-stable memory element. In order to check this
possibility, we have investigated vertical magnetization process of various
sub-micron permalloy dots by PMOKE and MFM. Polycrystalline circular dots
with 180-4000 nm in diameter and 40-80 mn in height were fabricated using e
lectron-lithography and a lift-off technique. While PMOKE measurements show
very low remanence against vertical field, MFM detects distinct spin vorte
x structures where spins around the dot centers direct up- or down-ward. Th
is result suggests a possibility of spin vortex structures as bi-stable swi
tching memory elements, although their averaged remanence is quite small. F
rom LLG calculations, it is found that lateral dimension of the spin vortex
coincides with the exchange length l(ex) = A(1/2)/M-s similar to 15 run re
gardless of the dot diameter. Furthermore we have established a magnetic ph
ase diagram of permalloy dots as functions of dot diameter and height.