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• W2018974377 abstract "We argue that the $t$-$J$ model and the recently proposed Ising version of this model give the same physical picture of the Nagaoka regime for $J/tensuremath{ll}1$. In particular, both models are shown to give compatible results for a single Nagaoka polaron as well as for a Nagaoka bipolaron. When compared to the standard $t$-$J$ or $t$-${J}_{z}$ models, the Ising version allows for a numerical analysis on much larger clusters by means of classical Monte Carlo simulations. Taking advantage of this fact, we study the low doping regime of the $t$-$J$ model for $J/tensuremath{ll}1$ and show that the ground state exhibits phase separation into hole-rich ferromagnetic and hole-depleted antiferromagnetic regions. This picture holds true up to a threshold concentration of holes $ensuremath{delta}ensuremath{le}{ensuremath{delta}}_{t}ensuremath{simeq}0.44sqrt{J/t}$. Analytical calculations show that ${ensuremath{delta}}_{t}=sqrt{J/2ensuremath{pi}t}$." @default.
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• W2018974377 date "2012-06-14" @default.
• W2018974377 modified "2023-09-25" @default.
• W2018974377 title "Effective approach to the Nagaoka regime of the two-dimensional<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>t</mml:mi></mml:math>-<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>J</mml:mi></mml:math>model" @default.
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• W2018974377 doi "https://doi.org/10.1103/physrevb.85.245113" @default.
• W2018974377 hasPublicationYear "2012" @default.
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