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

FINDING PHASE SEPARATION IN THE t–J MODEL NUMERICALLY

C. Stephen Hellberg, Efstratios Manousakis

Journal of Physics and Chemistry of SolidsOct 1, 19986 citations

Ground-state properties of the two-dimensional t-J model

Masanori Kohno

The two-dimensional t-J model in the ground state is investigated by the power Lanczos method. The pairing-pairing correlation function for ${\mathrm{d}}_{{\mathrm{x}}^{2}\mathrm{\ensuremath{-}}{\mathrm{y}}^{2}}$-wave symmetry is enhanced in the realistic parameter regime for high- ${\mathrm{T}}_{\mathrm{c}}$ superconductors. The charge susceptibility ${\mathrm{\ensuremath{\chi}}}_{\mathrm{c}}$ shows divergent behavior as ${\mathrm{\ensuremath{\chi}}}_{\mathrm{c}}$\ensuremath{\propto}${\mathrm{\ensuremath{\delta}}}^{\mathrm{\ensuremath{-}}1}$ near half filling for the doping concentration \ensuremath{\delta}, indicating that the value of the dynamical exponent z is four under the assumption of hyperscaling. The peak height of the spin structure factor ${\mathrm{S}}_{\mathrm{max}}$ (Q) also behaves as ${\mathrm{S}}_{\mathrm{max}}$ (Q)\ensuremath{\propto}${\mathrm{\ensuremath{\delta}}}^{\mathrm{\ensuremath{-}}1}$ near half filling, which leads to the divergence of the antiferromagnetic correlation length ${\ensuremath{\xi}}_{\mathrm{m}}$ as ${\ensuremath{\xi}}_{\mathrm{m}}$\ensuremath{\propto}${\mathrm{\ensuremath{\delta}}}^{\mathrm{\ensuremath{-}}1\mathrm{/}2}$. The boundary of phase separation is estimated on the basis of the Maxwell construction. Numerical results are compared with experimental features observed in high- ${\mathrm{T}}_{\mathrm{c}}$ cuprates.The two-dimensional t-J model in the ground state is investigated by the power Lanczos method. The pairing-pairing correlation function for ${\mathrm{d}}_{{\mathrm{x}}^{2}\mathrm{\ensuremath{-}}{\mathrm{y}}^{2}}$-wave symmetry is enhanced in the realistic parameter regime for high-${\mathrm{T}}_{\mathrm{c}}$ superconductors. The charge susceptibility ${\mathrm{\ensuremath{\chi}}}_{\mathrm{c}}$ shows divergent behavior as ${\mathrm{\ensuremath{\chi}}}_{\mathrm{c}}$\ensuremath{\propto}${\mathrm{\ensuremath{\delta}}}^{\mathrm{\ensuremath{-}}1}$ near half filling for the doping concentration \ensuremath{\delta}, indicating that the value of the dynamical exponent z is four under the assumption of hyperscaling. The peak height of the spin structure factor ${\mathrm{S}}_{\mathrm{max}}$(Q) also behaves as ${\mathrm{S}}_{\mathrm{max}}$(Q)\ensuremath{\propto}${\mathrm{\ensuremath{\delta}}}^{\mathrm{\ensuremath{-}}1}$ near half filling, which leads to the divergence of the antiferromagnetic correlation length ${\ensuremath{\xi}}_{\mathrm{m}}$ as ${\ensuremath{\xi}}_{\mathrm{m}}$\ensuremath{\propto}${\mathrm{\ensuremath{\delta}}}^{\mathrm{\ensuremath{-}}1\mathrm{/}2}$. The boundary of phase separation is estimated on the basis of the Maxwell construction. Numerical results are compared with experimental features observed in high-${\mathrm{T}}_{\mathrm{c}}$ cuprates.

arXiv:cond-mat/9610081Physical review. B, Condensed matterJan 15, 199759 citations

Phase Separation in a t - J Model

Michael P Marder, N. Papanicolaou, G. C. Psaltakis

NATO ASI series. Series B : PhysicsJan 1, 199113 citations

{T}_{c}

superconductors where

0.3<J/t<0.5

there is no phase separation.

{\mathrm{T}}_{\mathrm{c}}

superconductors. The charge susceptibility ${\mathrm{\ensuremath{\chi}}}_{\mathrm{c}}$ shows divergent behavior as ${\mathrm{\ensuremath{\chi}}}_{\mathrm{c}}$\ensuremath{\propto}${\mathrm{\ensuremath{\delta}}}^{\mathrm{\ensuremath{-}}1}$ near half filling for the doping concentration \ensuremath{\delta}, indicating that the value of the dynamical exponent z is four under the assumption of hyperscaling. The peak height of the spin structure factor

{\mathrm{S}}_{\mathrm{max}}

(Q) also behaves as

{\mathrm{S}}_{\mathrm{max}}

(Q)\ensuremath{\propto}${\mathrm{\ensuremath{\delta}}}^{\mathrm{\ensuremath{-}}1}$ near half filling, which leads to the divergence of the antiferromagnetic correlation length ${\ensuremath{\xi}}_{\mathrm{m}}$ as ${\ensuremath{\xi}}_{\mathrm{m}}$\ensuremath{\propto}${\mathrm{\ensuremath{\delta}}}^{\mathrm{\ensuremath{-}}1\mathrm{/}2}$. The boundary of phase separation is estimated on the basis of the Maxwell construction. Numerical results are compared with experimental features observed in high-

{\mathrm{T}}_{\mathrm{c}}

cuprates.