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- W1979389109 abstract "We present the detailed formalism of the extremely correlated Fermi liquid theory, developed for treating the physics of the $tensuremath{-}J$ model. We start from the exact Schwinger equation of motion for the Green's function for projected electrons, and develop a systematic expansion in a parameter $ensuremath{lambda}$, relating to the double occupancy. The resulting Green's function has a canonical part arising from an effective Hamiltonian of the auxiliary electrons, and a caparison part playing the role of a frequency-dependent adaptive spectral weight. This adaptive weight balances the requirement at low $ensuremath{omega}$ of the invariance of the Fermi volume, and at high $ensuremath{omega}$ of decaying as $frac{{c}_{0}}{iensuremath{omega}}$, with a correlation-depleted ${c}_{0}<1$. The effective Hamiltonian ${H}_{mathrm{eff}}$ describing the auxiliary fermions is given a natural interpretation with an effective interaction ${V}_{mathrm{eff}}$ containing both the exchange ${J}_{ij}$ and the hopping parameters ${t}_{ij}$. It is made Hermitian by adding suitable terms that ultimately vanish, in the symmetrized theory developed in this paper. Simple but important shift invariances of the $tensuremath{-}J$ model are noted with respect to translating its parameters uniformly. These play a crucial role in constraining the form of ${V}_{mathrm{eff}}$ and also provide checks for further approximations. The auxiliary and physical Green's function satisfy two sum rules, and the Lagrange multipliers for these are identified. A complete set of expressions for the Green's functions to second order in $ensuremath{lambda}$ is given, satisfying various invariances. A systematic iterative procedure for higher order approximations is detailed. A superconducting instability of the theory is noted at the simplest level with a high transition temperature." @default.
- W1979389109 created "2016-06-24" @default.
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- W1979389109 date "2013-03-15" @default.
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- W1979389109 title "Extremely correlated Fermi liquids: The formalism" @default.
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- W1979389109 doi "https://doi.org/10.1103/physrevb.87.125124" @default.
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