Thursday, August 26, 2010

Black hole theory relevant to non-fermi liquid problem ?

Although I have not fully read it, this interesting report has captured my curiosity. It is said that an idea emerging in gravitational theory, in the strong limit and the weak limit, provides insights in the strange metal behaviors of cuprate superconductors.
Fermi liquid theory explains the thermodynamic and transport properties of most metals. The so-called non-Fermi liquids deviate from these expectations and include exotic systems such as the strange metal phase of cuprate superconductors and heavy fermion materials near a quantum phase transition. We used the anti–de-Sitter/conformal field theory correspondence to identify a class of non-Fermi liquids; their low-energy behavior is found to be governed by a nontrivial infrared fixed point, which exhibits nonanalytic scaling behavior only in the time direction.
For some representatives of this class, the resistivity has a linear temperature dependence, as is the case for strange metals.

SCIENCE VOL 329:1043 (2010)

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