"sharp spike" is correct and usable in written English.
You can use it to refer to a sudden or quick increase in an amount or value. For example, "After the news broke, there was a sharp spike in the company's stock prices."
Afghanistan has recently seen a sharp spike in violence.
Everyone's work needs pushback, nitpicking and, occasionally, a nice sharp spike.
The Border Patrol reported a sharp spike in assaults that year.
Their results show a sharp spike in air pressure racing along in front of the thunderstorms.
After close to a decade of annual declines, recession triggered a sharp spike in suicide.
What's more, Washington would have to expect a sharp spike in Iranian-sponsored international terrorism.
Airfares have been rising steadily since well before the latest sharp spike in oil prices.
Few things could help the Romney campaign more than a sharp spike in gas prices.
A sharp spike in the number of restrictive policies took place in 2011.
The amplitude ratio is set to be around 0.85 during the scanning to avoid the damage of the sharp spike.
At the start of the rainy season, the UN has warned of a sharp spike in cholera cases.
