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A unique non-Landau/Fermi liquid in 2d for high Tc superconductivity

2008/05/20 by Eliot Kapit, Kapit, Eliot, André LeClair +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Strongly Correlated Electrons (cond-mat.str-el) #Superconductivity (cond-mat.supr-con) #cond-mat.str-el #cond-mat.supr-con #hep-th

paper · pdf · doi:10.48550/arxiv.0805.2951

arxiv created 2008/05/20 · arxiv updated 2009/12/01

Abstract

It is shown that the main features of the phase diagram for high Tc superconductivity can be calculated as a function of doping in a simple, essentially unique non-Landau/Fermi liquid with quartic interactions. The phase diagram depends on a single parameter 0<gamma<1 determined by the strength of the interaction at short distances. A new d-wave gap equation has solutions that fall under a superconducting dome, which terminates at the renormalization group fixed point. Optimal doping is estimated to occur just below 3/2 π2. The overall scale for Tc is set by the recently measured universal nodal Fermi velocity and lattice spacing, and is estimated to be 120K < Tc < 160K for LaSrCuO.

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