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The value is called the quasiparticle residue and is very characteristic of Fermi liquid theory.
Furthermore, the 1-D nature of the material causes a breakdown of the Fermi liquid theory for electron behavior.
The Fermi liquid theory by Landau provides a good model to describe the properties of most heavy fermion materials at low temperatures.
Important examples of where Fermi liquid theory has been successfully applied are most notably electrons in most metals and Liquid He-3.
Fermi liquid theory (also known as Landau-Fermi liquid theory) is a theoretical model of interacting fermions that describes the normal state of most metals at sufficiently low temperatures.
Russian physicist Lev Landau used the idea for the Fermi liquid theory wherein low energy properties of interacting fermion systems were given in terms of what are now known as Landau-quasiparticles.
He also received the Lars Onsager Prize in 2008 "for fundamental applications of statistical physics to quantum fluids, including Fermi liquid theory and ground-state properties of dilute quantum gases, and for bringing a conceptual unity to these areas" along with Christopher Pethick and Tin-Lun Ho.