Before it even reaches major Western markets, Sony's 2014 flagship Xperia Z2 has been rooted by XDA Recognized Developer DooMLoRD, who also managed to include ClockworkMod Recovery. If you're wondering why you should consider getting an Xperia Z2 when the Galaxy S5 and the HTC One M8 are getting most of the hype these days, I'll remind you that all of the Z2's specs are either on par with its more celebrated counterparts or are better.
Like its competitors, the Xperia Z2 has a Snapdragon 801 application processor with an Adreno 330 GPU. Fun fact: "Adreno" is a deliberate letter jumble of "Radeon" in recognition of AMD's legendary graphics cards. Other than the CPU/GPU combo, I think you'll find that most of the Xperia Z2's specs eclipse those of the Galaxy S5 and HTC One M8. I'll let you judge for yourselves:
[*]5.2-inch Triluminos 1080p display
[*]3GB RAM
[*]Up to 16GB internal storage, with MicroSD expansion up to 64GB
[*]20.7MP camera with 4K video recording (3840×2160) - something the 20.7MP camera in the Z1 lacks
[*]3200 mAh battery
[*]Dust-proof and waterproof (IP55 and IP58 standards)
[*]Android 4.4 KitKat with Sony's relatively lightweight custom skin
Of course, the spec from this list that stands out the most is the 20MP camera with the famous Exmor RS sensor.
I should note that DooMLoRD posted that he doesn't have the device himself, so he had to have simply downloaded and modified the stock firmware, which is often how root is first achieved (another example is jcase - he achieved root for the HTC One M8 without actually having the device).
The instructions for rooting the Xperia Z2 are found in DooMLoRD's XDA post, but I would like to make a special mention of the prerequisites here. You need the bootloader to be unlocked first, a working fastboot, and the stock firmware 7.1.A.2.36 - v01.
The reason I mentioned these here is that when the phone arrives in the U.S. the bootloader will almost certainly be locked. Even T-Mobile, which normally leaves the bootloaders of its flagship phones alone or at least allows you to use the OEM's official unlock, doesn't allow this with its Sony flagships. Therefore you'll likely have to wait for an unofficial bootloader unlock or another root method that doesn't require an unlocked bootloader in combination with a Safestrap recovery.
Source: XDA-Developers h/t Xperia blog
Like its competitors, the Xperia Z2 has a Snapdragon 801 application processor with an Adreno 330 GPU. Fun fact: "Adreno" is a deliberate letter jumble of "Radeon" in recognition of AMD's legendary graphics cards. Other than the CPU/GPU combo, I think you'll find that most of the Xperia Z2's specs eclipse those of the Galaxy S5 and HTC One M8. I'll let you judge for yourselves:
[*]5.2-inch Triluminos 1080p display
[*]3GB RAM
[*]Up to 16GB internal storage, with MicroSD expansion up to 64GB
[*]20.7MP camera with 4K video recording (3840×2160) - something the 20.7MP camera in the Z1 lacks
[*]3200 mAh battery
[*]Dust-proof and waterproof (IP55 and IP58 standards)
[*]Android 4.4 KitKat with Sony's relatively lightweight custom skin
Of course, the spec from this list that stands out the most is the 20MP camera with the famous Exmor RS sensor.

The instructions for rooting the Xperia Z2 are found in DooMLoRD's XDA post, but I would like to make a special mention of the prerequisites here. You need the bootloader to be unlocked first, a working fastboot, and the stock firmware 7.1.A.2.36 - v01.
The reason I mentioned these here is that when the phone arrives in the U.S. the bootloader will almost certainly be locked. Even T-Mobile, which normally leaves the bootloaders of its flagship phones alone or at least allows you to use the OEM's official unlock, doesn't allow this with its Sony flagships. Therefore you'll likely have to wait for an unofficial bootloader unlock or another root method that doesn't require an unlocked bootloader in combination with a Safestrap recovery.
Source: XDA-Developers h/t Xperia blog