The stability of the spiral phase is studied in the context of the slave-fermion mean-field theory of the t-J model. For J/t small enough the spiral phase is unstable against phase separation. For larger values of J/t there exists a critical concentration of holes below which this phase is stable, while for larger doping a phase separation occurs. The phase diagram of the t-J model is presented and discussed.

Physical review. B, Condensed matterDec 1, 19919 citations

Staggered flux phase and d-wave phase of the t-J model

Guang-Jie Chen, Robert Joynt, Fu‐Chun Zhang

Journal of Physics Condensed MatterJul 8, 19914 citations

Physical review. B, Condensed matter

Phase diagram of thet-Jmodel: A semiclassical calculation

William Barford, Jian Ping Lu

Published Feb 1, 1991• 6 citations

Publisher

Abstract

DOI: 10.1103/physrevb.43.3540

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Phase diagram of the t-J model: A semiclassical calculation

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Physical review. B, Condensed matterDec 1, 19919 citations

Staggered flux phase and d-wave phase of the t-J model

Guang-Jie Chen, Robert Joynt, Fu‐Chun Zhang

The authors have numerically evaluated the energy of the staggered flux phase state (SFP), the d-wave resonating valence bond state, and the mixed SFP and d-wave state (SFP+d) of the extended t-J model at various hole densities ( delta ). The flux per plaquette and the size of the d-wave gap are taken as variational parameters. The calculation includes the kinetic energy, spin energy, the effective hole-hole interaction and the three-site pair-hopping term. They found that the SFP is stable against the projected Fermi liquid up to delta approximately=20%. For moderately large J, J/t>or=0.4, the SFP+d state may be favoured against the pure d-wave state but only at very low hole density ( delta approximately 20%). These calculations show that the pure SFP state is never the ground state at hole densities of experimental interest.The authors have numerically evaluated the energy of the staggered flux phase state (SFP), the d-wave resonating valence bond state, and the mixed SFP and d-wave state (SFP+d) of the extended t-J model at various hole densities ( delta ). The flux per plaquette and the size of the d-wave gap are taken as variational parameters. The calculation includes the kinetic energy, spin energy, the effective hole-hole interaction and the three-site pair-hopping term. They found that the SFP is stable against the projected Fermi liquid up to delta approximately=20%. For moderately large J, J/t>or=0.4, the SFP+d state may be favoured against the pure d-wave state but only at very low hole density ( delta approximately 20%). These calculations show that the pure SFP state is never the ground state at hole densities of experimental interest.

Journal of Physics Condensed MatterJul 8, 19914 citations

U

, we find metastable solutions for the staggered-flux phase, with a maximum current per bond at $U\ensuremath{\approx}3.2$. However, allowing for antiferromagnetic and superconducting long-range order it turns out that in the region at and close to half filling the antiferromagnetic phase is the most favorable energetically. The effect of nearest-neighbor interaction is also considered. Our results show that a negative nearest-neighbor interaction and finite doping favors the stability of the staggered-flux phase. We also present preliminary results for the three-band Hubbard model obtained with a restricted set of variational parameters. For this case, no spontaneous time-reversal symmetry breaking phase is found in our calculations.