Eur. Phys. J. B 51, 461-472 (2006)
https://doi.org/10.1140/epjb/e2006-00258-x

d = 3 anisotropic and d = 2 tJ models: phase diagrams, thermodynamic properties, and chemical potential shift

¹ Feza Gürsey Research Institute, TÜBITAK - Bosphorus University, Çengelköy 34680, Istanbul, Turkey
² Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts, 02139, USA
³ Department of Physics, Koç University, Sarı yer 34450, Istanbul, Turkey
⁴ Department of Physics, Istanbul Technical University, Maslak 34469, Istanbul, Turkey

Corresponding author: ^a nberker@ku.edu.tr

Received: 24 January 2006
Published online: 28 June 2006

Abstract

The anisotropic d=3 tJ model is studied by renormalization-group theory, yielding the evolution of the system as interplane coupling is varied from the isotropic three-dimensional to quasi-two-dimensional regimes. Finite-temperature phase diagrams, chemical potential shifts, and in-plane and interplane kinetic energies and antiferromagnetic correlations are calculated for the entire range of electron densities. We find that the novel τ phase, seen in earlier studies of the isotropic d=3 tJ model, persists even for strong anisotropy. While the τ phase appears at low temperatures at 30–35% hole doping away from 〈 n_i〉=1, at smaller hole dopings we see a complex lamellar structure of antiferromagnetic and disordered regions, with a suppressed chemical potential shift, a possible marker of incommensurate ordering in the form of microscopic stripes. An investigation of the renormalization-group flows for the isotropic two-dimensional tJ model also shows a clear pre-signature of the τ phase, which in fact appears with finite transition temperatures upon addition of the smallest interplane coupling.