Frustrated Further-Neighbor Antiferromagnetic and Electron-Hopping Interactions in the d=3 tJ Model: Finite-Temperature Global Phase Diagrams from Renormalization-Group Theory

Abstract

The renormalization-group theory of the d=3 tJ model is extended to further-neighbor antiferromagnetic or electron-hopping interactions, including the ranges of frustration. The global phase diagram of each model is calculated for the entire ranges of temperatures, electron densities, and further/first-neighbor interaction strength ratios. In addition to the ��_{tJ} phase seen in earlier studies of the nearest-neighbor d=3 tJ model, the ��_{Hb} phase seen before in the d=3 Hubbard model appears both near and away from half-filling. These distinct ��phases potentially correspond to different (BEC-like and BCS-like) superconducting phases.Improved figures, added discussions, added references. Published version. 12 pages, 5 figures, 6 tables