Blog.php or how to display recent posts?

I created a home.php which doesn’t display the recent posts in the standard-blog-style.
Just have a look at my website to see what I mean.
I want to create a link that leads to something like “http://…./blog” where the recent posts are displayed “normally”.
I know how to do that, but what I don’t know is how to create that new “link” that leads to “…/blog”.

Is it possible to create a “blog.php” just like a “home.php” where the recent posts will be displayed?

But even if I create a “blog.php” I will get a 404 error message when clicking on “http://…/blog”.

I hope you get what I mean and can help me out here a bit.
Do I have to modify the htaccess thingie for that or what? :/

Thanks a lot in advance 🙂