  Thermochromic VO2 films were prepared by reactive DC magnetron sputtering
onto heated sapphire substrates and were used to make 100-nm-thick samples that
were 10 {\mu}m wide and 100 micron long. The resistance of these samples
changed by a factor of about 2000 in the 50 < Ts < 70 C range of temperature Ts
around the "critical" temperature Tc between a low-temperature semiconducting
phase and a high-temperature metallic-like phase of VO2. Power density spectra
S(f) were extracted for resistance noise around Tc and demonstrated unambiguous
1/f behavior. Data on S(10Hz)/Rs^2 scaled as Rs^x, where Rs is sample
resistance; the noise exponent x was -2.6 for Ts < Tc and +2.6 for Ts > Tc.
These exponents can be reconciled with the Pennetta-Trefan-Reggiani theory [C.
Pennetta, G. Trefanan, and L. Reggiani, Phys. Rev. Lett. 85, 5238 (2000)] for
lattice percolation with switching disorder ensuing from random defect
generation and healing in steady state. Our work hence highlights the dynamic
features of the percolating semiconducting and metallic-like regions around Tc
in thermochromic VO2 films.
