Double up some diamonds
SOGL V0.12, 24 bytes
ā.∫ā;∫ \*+}ø┼↔±╬¡;øΚ┼}╬³

Try it Here!
Explanation:
ā                         push an empty array (the main canvas)
 .∫                  }    iterate over the input, pushing 1-indexed iteration
   ā;                       push an empty array below the iteration
     ∫    }                 iterate over the iteration counter
       \*                     push current iteration amount of slashes
         +                    append those to the 2nd array
           ø┼               append nothing (so it'd space the array to a square)
             ↔±             reverse horizontally (swapping slashes)
               ╬¡           quad-palindromize with 0 overlap and swapping characters as required
                 ;          get the canvas ontop
                  øΚ        prepend to it an empty line (so the now bigger romb would be one up)
                    ┼       append horizontally the canvas to the current romb
                      ╬³  palindromize horizontally with no overlap and swapping characters