Change only status bar's color in Flutter

I have a layout like this and I want to change the color of only the status bar as I have not used an Appbar.

Here's the code I have used for this:

class Home extends StatelessWidget {
  @override
  Widget build(BuildContext context) {
    return Scaffold(
      body: SafeArea(
        child: Column(children: [
          Container(
              color: Colors.green,
              padding: EdgeInsets.all(15),
              child: TextFormField(
                cursorColor: Colors.green,
                decoration: InputDecoration(
                  contentPadding:
                      EdgeInsets.symmetric(vertical: 0.0, horizontal: 10.0),
                  hintText: 'Search a product',
                  fillColor: Colors.white,
                  filled: true,
                  prefixIcon: Visibility(
                    visible: true,
                    child: Icon(
                      Icons.search,
                      color: Colors.grey.shade900,
                    ),
                  ),
                  enabledBorder: OutlineInputBorder(
                      borderRadius: BorderRadius.circular(6),
                      borderSide: BorderSide(
                          color: Colors.grey.shade200, width: 1.5
                    )
                  ),
                )
              ),
            ),

            //AND OTHER ELEMENTS

        ],),
      ),
    );
  }
}

I want to change the color of the status bar to a darker shade of green

In our main.dart, we can use the SystemChrome class:

SystemChrome.setSystemUIOverlayStyle(SystemUiOverlayStyle(
  statusBarColor: Colors.green
));