This is tabbed from the arctic monkeys at the apollo dvd

  |-----------------|
B |-----------------|
G |-----------------|
D |-----------------|
A |-----------------|
E |--555  44  3  2--| (Main Riff Repeated Throughout)

(Breakdown/ Bridge)

For this part make a Open G Shape on the 2nd fret and remove your first finger , leaving 
your middle and ring finger   on  Both E Strings Of The 2nd Fret. Then Pluck the bottom 
top e string at the same time. This is done best with the thumb and first finger.

E |--2--------------------|
B |-----------------------|
G |-----------------------|
D |-----------------------|
A |-----------------------|
E |--2--------------------|


For the 2nd part of the bridge the same shape and plucking method is used again but  , 
on the 5th fret and advancing up towards the 2nd with one pluck of each.

E |--5  4  3  2--------------------|
B |--------------------------------|
G |--------------------------------|
D |--------------------------------|
A |--------------------------------|
E |--5-4-3-2-----------------------|