The boundary of phase separation of the two-dimensional $t\ensuremath{-}J$ model is investigated by the power-Lanczos method and Maxwell construction. The method is similar to a variational approach and it determines the lower bound of the phase-separation boundary with ${J}_{c}/t=0.6\ifmmode\pm\else\textpm\fi{}0.1$ in the limit ${n}_{e}\ensuremath{\sim}1.$ In the physically interesting regime of high- ${T}_{c}$ superconductors where $0.3<J/t<0.5$ there is no phase separation.The boundary of phase separation of the two-dimensional $t\ensuremath{-}J$ model is investigated by the power-Lanczos method and Maxwell construction. The method is similar to a variational approach and it determines the lower bound of the phase-separation boundary with ${J}_{c}/t=0.6\ifmmode\pm\else\textpm\fi{}0.1$ in the limit ${n}_{e}\ensuremath{\sim}1.$ In the physically interesting regime of high-${T}_{c}$ superconductors where $0.3<J/t<0.5$ there is no phase separation.

arXiv:cond-mat/9705156Physical review. B, Condensed matterJan 1, 199842 citations

Limits on phase separation for two-dimensional strongly correlated electrons

W. O. Putikka, Marco U. Luchini

From calculations of the high-temperature series for the free energy of the two-dimensional t- $J$ model we construct a series for ratios of the free energy per hole. The ratios can be extrapolated very accurately to low temperatures and used to investigate phase separation. Our results confirm that phase separation occurs only for $J/t\ensuremath{\gtrsim}1.2.$ Also, the phase transition into the phase-separated state has ${T}_{c}\ensuremath{\approx}0.25J$ for large $J/t.$ From calculations of the high-temperature series for the free energy of the two-dimensional t-$J$ model we construct a series for ratios of the free energy per hole. The ratios can be extrapolated very accurately to low temperatures and used to investigate phase separation. Our results confirm that phase separation occurs only for $J/t\ensuremath{\gtrsim}1.2.$ Also, the phase transition into the phase-separated state has ${T}_{c}\ensuremath{\approx}0.25J$ for large $J/t.$

arXiv:cond-mat/9912294Physical review. B, Condensed matterJul 15, 200023 citations

{T}_{c}

superconductors where

0.3<J/t<0.5

there is no phase separation.

From calculations of the high-temperature series for the free energy of the two-dimensional t-

J

model we construct a series for ratios of the free energy per hole. The ratios can be extrapolated very accurately to low temperatures and used to investigate phase separation. Our results confirm that phase separation occurs only for $J/t\ensuremath{\gtrsim}1.2.$ Also, the phase transition into the phase-separated state has ${T}_{c}\ensuremath{\approx}0.25J$ for large

J/t.