Magnetism and superconductivity in the $t-t^{\prime }-J$ model

Abstract

We present a systematic study of the phase diagram of the $t-t^{\prime }-J$ model by using the Green's function Monte Carlo (GFMC) technique, implemented within the fixed-node (FN) approximation and a wave function that contains both antiferromagnetic and d-wave pairing. This enables us to study the interplay between these two kinds of order and compare the GFMC results with the ones obtained by the simple variational approach. By using a generalization of the forward-walking technique, we are able to calculate true FN ground-state expectation values of the pair-pair correlation functions. In the case of $t^{\prime }=0$, there is a large region with a coexistence of superconductivity and antiferromagnetism, that survives up to ${\delta }_c\sim 0.10$ for $J/t=0.2$ and ${\delta }_c\sim 0.13$ for $J/t=0.4$. The presence of a finite $t^{\prime }/t<0$ induces a strong suppression of both magnetic (with ${\delta }_c\lesssim 0.03$, for $J/t=0.2$ and $t^{\prime }/t=-0.2$) and pairing correlations. In particular, the latter ones are depressed both in the low-doping regime and around $\delta \sim 0.25$, where strong size effects are present.

10 pages, 9 figures

References in corpus (7)

• Unidirectional d-wave superconducting domains in the two-dimensional t-J model
• Superconductivity and antiferromagnetism in the two-dimensional Hubbard model: a variational study
• A magnetic analog of the isotope effect in cuprates
• Slave-boson approach to the metallic stripe phases with large unit cells
• Finite compressibility in the low-doping region of the two-dimensional $t-J$ model
• Quasiparticle spectral weights of Gutzwiller-projected high T_c superconductors
• Antiferromagnetism in two-dimensional t-J model: pseudospin representation

Cited by in corpus (12)

• Resonating valence bond wave function with molecular orbitals: Application to first-row molecules
• Competition between antiferromagnetism and superconductivity, electron-hole doping asymmetry and "Fermi Surface" topology in cuprates
• Superconductivity in a Hubbard-Froehlich Model and in cuprates
• Stability of RVB hole stripes in high-temperature superconductors
• Electronic structure of kinetic energy driven cuprate superconductors
• Conditions for magnetically induced singlet d-wave superconductivity on the square lattice
• Fidelity and superconductivity in two-dimensional t-J models
• Effect of long-range hopping on Tc in a two-dimensional Hubbard-Holstein model of the cuprates
• The Resonating-Valence-Bond Ground State of Li Nanoclusters
• Magnetic order, Bose-Einstein condensation, and superfluidity in a bosonic t-J model of CP^1 spinons and doped Higgs holons
• Supersolid phases of a doped valence-bond quantum antiferromagnet: Evidence for a coexisting superconducting order parameter
• Ising t-J model close to half filling: A Monte Carlo study