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Non-Fermi liquid (NFL) is a metallic state which deviates from Fermi liquid theory. For usual metals, temperature dependence of transport and thermodynamic quantities, such as resistivity and specific heat, obey Fermi liquid theory which predicts specific heat to have linear Temperature dependence and resistivity to T-square. But those quantities of NFL materials have strange T-dependences. This strange state happens when one suppresses transition temperature of antiferromagnetic order (T_N) to zero by applying pressure or magnetic field or doping impurities. Now many condensed matter scientists are working on how to understand this state and its mechanism. One more thing which is making this very interesting is that unconventional superconductivity (SC) happens often when a material has NFL state at temperatures above SC transition. Many scientists believe that NFL state is a prerequisite for unconventional SC.
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