Daniel Hansen, B. Sriram Shastry
We present detailed results from a recent microscopic theory of extreme correlated Fermi liquids, applied to the t-J model in two dimensions. We use two typical sets of band parameters relevant to the cuprate superconductors. The second order theory in the parameter \lambda is valid in the overdoped regime where $0 \leq n \lsim 0.7$, where n is the particle density (related to hole density x by n =1-x). The calculation involves the self consistent solution of equations for an auxiliary Fermi liquid type Greens function and an adaptive spectral weight, or caparison factor, described in recent papers by Shastry. We present the numerical results at low as well as high T at various low densities in the normal phase. We display the (two) chemical potential(s), the momentum space occupation function $m_k$, various energy dispersions locating the peaks of spectral functions, the optical conductivity, relaxation rates for quasiparticles, and the electronic spectral functions along various directions and with typical additional elastic scattering. The line shapes have characteristic shapes that are very similar to those from approximate treatments of the equations in recent work, and display frequently observed features such as the high energy kink, that depend on the bare band dispersion.
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http://arxiv.org/abs/1211.0594
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