1996/02/15 by Anne-Marie Daré, Y. M. Vilk, A. -M. S. Tremblay · 1 citation
Physics and Astronomy · #cond-mat
paper · pdf · doi:10.1103/physrevb.53.14236
published as Phys. Rev. B 53, 14 236 - 14 251 (1996) (16 pages). · Revtex, 23 pages + 6 postcript figures (with epsfile)
arxiv created 1996/02/15 · arxiv updated 2016/08/14
The crossover from two- to three-dimensional critical behavior of nearly antiferromagnetic itinerant electrons is studied in a regime where the inter-plane single-particle motion of electrons is quantum-mechanically incoherent because of thermal fluctuations. This is a relevant regime for very anisotropic materials like the cuprates. The problem is studied within the Two-Particle Self-Consistent approach (TPSC), that has been previously shown to give a quantitative description of Monte Carlo data for the Hubbard model. It is shown that TPSC belongs to the n→ ∞ limit of the O( n) universality class. However, contrary to the usual approaches, cutoffs appear naturally in the microscopic TPSC theory so that parameter-free calculations can be done for Hubbard models with arbitrary band structure. A general discussion of universality in the renormalized-classical crossover from d=2 to d=3 is also given.