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arxiv: 0805.2951 · v1 · submitted 2008-05-20 · ❄️ cond-mat.str-el · cond-mat.supr-con· hep-th

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

classification ❄️ cond-mat.str-el cond-mat.supr-conhep-th
keywords fermidiagramdopingestimatedhighliquidnon-landauphase
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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 \pi^2. 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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