The AMD Barton core is just the name AMD gave to their newest CPU. The materials used in it are exactly the same as in many other chips (this is not exactly true as there are more chip-technologies, but true enough for now).
A chip is made of chemically almost pure mono-crystalline silicium. 'Almost' is the key word here: silicon is a *semi* conductor which means that it conducts very poorly compared to real conductors (like copper, gold), but it conducts very well compared to insulators (like plastics, ceramics and silicon-oxide). Pure silicon is a very poor conductor, but you can make it to conduct much better by polluting it with small quantities (very small, much less than 1 percent) of other elements. Still many materials (especially metals and alloys) conduct far better than silicium.
The chip-production process involves polluting the silicium crystal at exactly the right spots, oxidizing it at other spots where you need an insulator, or putting a metal on it where you need a conductor. (I believe the metal used mostly is aluminum) The process of putting all these materials on the right spots is called photolitography. Actually only one side of the chip is being processed.
Now this chip is glued onto a substrate (this could be anything: glass, ceramics, plastics, metal), epoxy-resin in the case of the Barton CPU. This substrate contains the metal pins which connects the chip to the outside world. In earlier days the chip was then connected to the pins by welding very thin golden threads from the pins to the chip; nowadays the chip is placed directly on a contact-area where tiny metal balls provide the contact between chip and contact area.
Now an answer for your question:
any superconductor will conduct better than a barton core.
most metals and alloys will conduct better than the silicium used in the barton core.
Any conductor or semi conductor will conduct better than silicium-oxide.
Aluminum (used in the chip as conductor) will be outperformed by copper, which will be outperformed by silver, which will be outperformed by gold.
As for the pins: these are made of a very good conductor, sometimes alloys, or gold-plated to avoid oxidation.
You may check the "Handbook of Chemistry and Phyisics" for the exact conductivity of these materials.