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We present a general introduction to the Gutzwiller-RVB
approach to strongly correlated electron systems with
particular emphasis on the electronic structure of a strongly
correlated d-wave superconducting state. Combining a renormalized mean
field theory with direct calculation of matrix elements, we obtain
explicit analytical results for the nodal Fermi velocity,
v_F, the Fermi wave vector, k_F, and momentum distribution,
n_k and the quasiparticle renormalization factor Z. We
discuss comparison with ARPES for the HTSC
and the difficulties encountered by attempts
to understand these results in terms of the a general
momentum and frequency dependent self energy.
We discuss, in addition, some of the prevalent methods used to determine the FS and show that they lead generally to erroneous results close to half filling and at low temperatures, due to the large momentum-dependent superconducting gap (pseudogap) below (above) the superconducting transition temperature of the HTSC. [1] B. Edegger, V.N. Muthukumar, C. Gros, Gutzwiller-RVB Theory of High Temperature Superconductivity: Results from Renormalized Mean Field Theory and Variational Monte Carlo Calculations, Adv. Phys. 56, 927 (2007). [2] C. Gros, B. Edegger, V.N. Muthukumar, P.W. Anderson, Determining the underlying Fermi surface of strongly correlated superconductors, PNAS 103, 14298 (2006). [3] B. Edegger, V.N. Muthukumar, C. Gros, P.W. Anderson, Electronic structure of strongly correlated d-wave superconductors, Phys. Rev. Lett. 96, 207002 (2006). [4] N. Fukushima, B. Edegger, V.N. Muthukumar, C. Gros, On the evaluation of matrix elements in partially projected wave functions, Phys. Rev. B 72, 144505 (2005). |
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