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• W1579667033 abstract "We investigate the phase diagram of the two-dimensional $tensuremath{-}J$ model using a recently developed technique that allows one to solve the mean-field model Hamiltonian with a variational calculation. The accuracy of our estimate is controlled by means of a small parameter $frac{1}{q}$, analogous to the inverse spin magnitude $frac{1}{s}$ employed in studying quantum spin systems. The mathematical aspects of the method and its connection with other large-spin approaches are discussed in detail. In the large-$q$ limit the problem of strongly correlated electron systems turns into the minimization of a total-energy functional. We have performed this optimization numerically on a finite but large $Lifmmodetimeselsetexttimesfi{}L$ lattice. For a single hole the static small-polaron solution is stable except for small values of $J$, where polarons of increasing sizes have lower energy. At finite doping we recover phase separation above a critical $J$ and for any electron density, showing that the Emery et al. picture represents the semiclassical behavior of the $tensuremath{-}J$ model. Quantum fluctuations are expected to be very important, especially in the small-$J$-small-doping region, where phase separation may also be suppressed." @default.
• W1579667033 created "2016-06-24" @default.
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• W1579667033 date "1993-04-01" @default.
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• W1579667033 title "Phase separation in the large-spin<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mi>J</mml:mi></mml:math>model" @default.
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• W1579667033 doi "https://doi.org/10.1103/physrevb.47.8858" @default.
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