Sentence examples for new cold war from inspiring English sources

The phrase 'new cold war' is correct and usable in written English.
You can use this phrase when referring to a period of tensions and increased hostility between two or more parties that may be reminiscent of the Cold War between the US and the USSR. For example, "Recent military actions in the Middle East have led some to worry that the world may be on the brink of a new cold war."