Role of Interchain Hopping in the Magnetic Susceptibility of Quasi-One-Dimensional Electron Systems

Abstract

The role of interchain hopping in quasi-one-dimensional (Q-1D) electron systems is investigated by extending the Kadanoff-Wilson renormalization group of one-dimensional (1D) systems to Q-1D systems. This scheme is applied to the extended Hubbard model to calculate the temperature ($T$) dependence of the magnetic susceptibility, $\chi (T)$. The calculation is performed by taking into account not only the logarithmic Cooper and Peierls channels, but also the non-logarithmic Landau and finite momentum Cooper channels, which give relevant contributions to the uniform response at finite temperatures. It is shown that the interchain hopping, $t_{\perp }$, reduces $\chi (T)$ at low temperatures, while it enhances $\chi (T)$ at high temperatures. This notable $t_{\perp }$ dependence is ascribed to the fact that $t_{\perp }$ enhances the antiferromagnetic spin fluctuation at low temperatures, while it suppresses the 1D fluctuation at high temperatures. The result is at variance with the random-phase-approximation approach, which predicts an enhancement of $\chi (T)$ by $t_{\perp }$ over the whole temperature range. The influence of both the long-range repulsion and the nesting deviations on $\chi (T)$ is further investigated. We discuss the present results in connection with the data of $\chi (T)$ in the (TMTTF)${}_{2}X$ and (TMTSF)${}_{2}X$ series of Q-1D organic conductors, and propose a theoretical prediction for the effect of pressure on magnetic susceptibility.

arXiv comment17 pages, 19figures

References in corpus (10)

• Spin-triplet `f-wave' pairing proposed for an organic superconductor (TMTSF)_2 PF_6
• Tomonaga-Luttinger parameters for doped Mott insulators
• Triplet superconducting pairing and density-wave instabilities in organic conductors
• Microscopic theory of spin-triplet $f$-wave pairing in quasi-1D organic superconductors
• Interplay between spin-density-wave and superconducting states in quasi-one-dimensional conductors
• Superconductivity and Density Wave in the Quasi-One-Dimensional Systems: Renormalization Group Study
• Crossover from Quarter-Filling to Half-Filling in a One-Dimensional Electron System with a Dimerized and Quarter-Filled Band
• Effects of Next-Nearest-Neighbor Repulsion on One-Dimensional Quarter-Filled Electron Systems
• Spin susceptibility of interacting electrons in one dimension: Luttinger liquid and lattice effects
• Effect of Inter-Site Repulsions on Magnetic Susceptibility of One-Dimensional Electron Systems at Quarter-Filling

Cited by in corpus (11)

• Link between antiferromagnetism and superconductivity probed by nuclear spin relaxation in organic conductors
• Orbital current patterns in doped two-leg Cu-O Hubbard ladders
• Extended quantum criticality of low-dimensional superconductors near a spin-density-wave instability
• Emergence of Charge Loop Current in Geometrically Frustrated Hubbard Model: Functional Renormalization Group Study
• On the Origin of the Anomalous Upper Critical Field in Quasi-One-Dimensional Superconductors
• Mechanism for the Singlet to Triplet Superconductivity Crossover in Quasi-One-Dimensional Organic Conductors
• $d$- and $p$-wave quantum liquid crystal orders in cuprate superconductors, $\kappa$-(BEDT-TTF)${}_2$X, and coupled chain Hubbard models: functional-renormalization-group analysis
• Increase of Superconducting Correlation due to Dimensionality Change in Quasi-One-Dimensional Conductors
• Quantum Monte Carlo Study of the Quasi-One-Dimensional Superconductivity
• Different types of the dimensional crossover in the quasi-one-dimensional spinless fermion systems
• Terminable Transitions in a Topological Fermionic Ladder