Spin-Density-Wave Phase Transitions in Quasi-One-Dimensional Dimerized Quarter-Filled Organic Conductors

Abstract

We have studied spin density wave (SDW) phase transitions in dimerized quarter-filled Hubbard chains weakly coupled via interchain one-particle hopping, $t_{b0}$. It is shown that there exists a critical value of $t_{b0}$, $t_b^{\ast }$, between the incoherent metal regime ($t_{b0}<t_b^{\ast }$) and the Fermi liquid regime ($t_{b0}>t_b^{\ast }$) in the metallic phase above the SDW transition temperature. By using the 2-loop perturbative renormalization-group approach together with the random-phase-approximation, we propose a SDW phase diagram covering both of the regimes. The SDW phase transition from the incoherent metal phase for $t_{b0}<t_b^{\ast }$ is caused by growth of the intrachain electron-electron umklapp scattering toward low temperatures, which is regarded as preformation of the Mott gap. We discuss relevance of the present result to the SDW phase transitions in the quasi-one-dimensional dimerized quarter-filled organic conductors, (TMTTF)${}_2$X and (TMTSF)${}_2$X.

19 pages, 13 eps figures, uses jpsj.sty, corrected typo in the text and figures, no changes to the paper, to appear in J. Phys. Soc. Jpn. 68, No.8 (1999)

References in corpus (4)

• Antiferromagnetic Phases of One-Dimensional Quarter-Filled Organic Conductors
• On-chain electrodynamics of metallic (TMTSF)_2 X salts: Observation of Tomonaga-Luttinger liquid response
• Confinement of Interchain Hopping by Umklapp Scattering in Two-Coupled Chains
• Effects of Spin Fluctuations in Quasi-One-Dimensional Organic Superconductors

Cited by in corpus (3)

• Charge Ordering in the One-Dimensional Extended Hubbard Model: Implication to the TMTTF Family of Organic Conductors
• Two-loop renormalization-group theory for the quasi-one-dimensional Hubbard model at half filling
• Quantum phase transitions and collapse of the Mott gap in the $d=1+\epsilon$ dimensional half-filled Hubbard model