If you want to sound like the Artic Monkeys, you should choose one of the amplifiers they use. You will probably also need some of the effects they use as well because most professional musicians do not rely on the amplifier to produce the sound they want. They put together a unique combination of pedal effects to do that instead. The amplifier then just gives a good clean sound to reproduce effects sound they are using. Here is the equipment list for that band:
http://www.dolphinmusic.co.uk/article/1516-how-to-sound-like-the-arctic-monkeys-the-complete-gear-guide-.html
The lead guitar player, as you can see, plays through at Hiwatt Custom 50-Watt 2×12 Combo amplifier. Musician's Friend sell only the Hi Gain version of that amplifier http://guitars.musiciansfriend.com/product/Hiwatt-HiGain-50-50W-2x12-Tube-Guitar-Combo-Amp?sku=487180 - The price they need to charge for it (since it's imported) is way too much for a 50 watt amplifier. If you are playing a gig, you realistically need 100 to 150 watts minimum (I have 500 watts).
A similar sounding amplifier would be a VOX - http://guitars.musiciansfriend.com/product/Vox-Valvetronix-VT100-100W-2x12-Guitar-Combo-Amp?sku=424009 - As you can see, this is much more reasonably priced.
The Artic Monkeys combine a mostly clean sounding guitar with and occasional dirty (distorted) sound that gives them a rather unique sound overall. So, what you really need is a clean sounding amplifier and some exceptional effects pedals. They use The MXR distortion+ pedal http://www.youtube.com/watch?v=Dv3jMXbuONI - http://guitars.musiciansfriend.com/product/MXR-M104-DISTORTION-Plus-Guitar-Pedal?sku=151102 - But, that's not all they use ... As you can see, from the above link to their equipment list, there are two guitar players and a wide variety of pedals. At an average cost per pedal of aound $100, in my opinion, you're much better off buying a BOSS GT-10 multi-effects pedal for a lot less. Why spend premium prices for a collection of effects pedals when you can get a complete array of guitar effects from the leading choice in effects pedals among professional musicians, the BOSS GT-10: http://www.youtube.com/watch?v=WtdfQIZhq7g
Getting back to the amplifier choice. One of the cleanest sounding amplifiers made is the Fender. Any of the following would be good choices for a really clean sound to run your effects through.
http://guitars.musiciansfriend.com/product/Fender-Frontman-212R-100W-2x12-Guitar-Combo-Amp?sku=481601 - or - http://guitars.musiciansfriend.com/product/Fender-Vintage-Reissue-65-Twin-Reverb-Guitar-Amp?sku=480505#used
Personally to get the best clean sound imaginable and incredible power to boot at the very best possible price, I play my guitar though a 500 watt per channel QSC stereo power amplifier that I paid approximately $400 for (new). http://pro-audio.musiciansfriend.com/product/QSC-GX5-Stereo-Power-Amplifier?sku=481805 - the real quality of sound however, comes from the speakers so, I drive that 500 watts of power thought a pair of JBL JRX115 2-way speaker cabinets - http://pro-audio.musiciansfriend.com/product/JBL-JRX115-15-2Way-Speaker-Cabinets-Pair?sku=600347 (these are incredible sounding speakers) and for my effects, I use the BOSS GT-10. So for a total of less than $1500 including the cables, I can make my guitar sound like anyone (you can custom program the GT-10) and I can play absolutely anywhere with 500 watts behind me. So, save your money. Or, buy the system a piece at a time like I did. I have guitar player's coming up to me all the time on a gig asking what kind of amplifier I have that puts out that incredible sound. Many of those guys have confided in me that they spent $2,000 to $3,000 or more for their systems and they don't have my sound or my power. Hope this helps you.