J. Kishine et K. Yonemitsu, ANTIFERROMAGNETIC PHASE-TRANSITION AND CROSSOVER TO FERMI-LIQUID PHASE IN A WEAKLY COUPLED HALF-FILLED CHAIN SYSTEM, Journal of the Physical Society of Japan, 67(8), 1998, pp. 2590-2593
Effects of the intrachain electron-electron umklapp process and the in
terchain one-particle hopping, II, in a weakly coupled half-filled cha
in system have been studied, based on the perturbative renormalization
-group approach. By solving the scaling equations, we found that the i
ntrachain umklapp process strongly suppresses an interchain one-partic
le process and causes a finite critical value for t(perpendicular to),
t(perpendicular to c). For t(perpendicular to) < t(perpendicular to c
), as the temperature decreases, the system undergoes a phase transiti
on into an antiferromagnetic long-range-ordered phase at a transition
temperature T-N which increases with the increasing t(perpendicular to
). On the other hand, for t(perpendicular to) > t(perpendicular to c),
the system undergoes a crossover to the Fermi liquid phase where the
interchain coherent propagation of quasi-particles occurs.