Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2007-05-21
Phys. Rev. B 77, 035130 (2008)
Physics
Condensed Matter
Strongly Correlated Electrons
corrected and enlarged version
Scientific paper
We show that the recently proposed doped carrier Hamiltonian formulation of the t-J model should be complemented with the constraint that projects out the unphysical states. With this new important ingredient, the previously used and seemingly different spin-fermion representations of the t-J model are shown to be gauge related to each other. This new constraint can be treated in a controlled way close to half-filling suggesting that the doped carrier representation provides an appropriate theoretical framework to address the t-J model in this region. This constraint also suggests that the t-J model can be mapped onto a Kondo-Heisenberg lattice model. Such a mapping highlights important physical similarities between the quasi two-dimensional heavy fermions and the high-T$_c$ superconductors. Finally we discuss the physical implications of our model representation relating in particular the small versus large Fermi surface crossover to the closure of the lattice spin gap.
Ferraz Alvaro
Kochetov Evgueny
Pepino Rafael T.
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