In this paper, we theoretically investigate the effect of temperature on spin correlations in an unpolarized quasi-one-dimensional electron gas (Q1DEG). The correlations are treated dynamically within quantum version of the self-consistent mean-field approach of Singwi etal Numerical results for the ↑↑ and ↑↓ components of static structure factor and pair-correlation function, and the wave vector dependent static spin and charge susceptibilities are presented over a wide range of temperature T and electron coupling r _s . We find that the recently reported (2020 J. Phys.: Condens. Matter. 32 335403) non-monotonic T-dependence of the contact pair-correlation function g(r = 0; T) is driven primarily by an interplay between ↑↓ correlations and thermal effects. At a given temperature, the dynamics of both ↑↑ and ↑↓ correlations is found to become significant with increasing coupling r _s , manifesting unambiguously as pronounced peak at 3.5k _F (periodic oscillations) in the corresponding components of the structure factor (pair-correlation function). Analysis of static spin and charge susceptibilities reveals that an imbalance between ↑↑ and ↑↓ correlations may induce a transition to a spin-density wave (SDW) phase of wave vector ∼3.5k _F above a critical coupling for a sufficiently high T, while to a long-wavelength SDW phase at a low T. Higher the temperature, higher is the predicted critical coupling for the SDW phase. Interestingly, transition to the SDW phase is found to precede the recently predicted Wigner crystal instability in the finite-T Q1DEG. Further, if one starts with partially spin-polarized electrons, the SDW instability is found to shift to somewhat higher τ and r _s . In addition, we have presented results for the free exchange-correlation energy, free correlation energy, and excess kinetic energy for the unpolarized and fully spin-polarized phases of the finite-T Q1DEG. Wherever interesting, we have compared our results with the predictions of the static version of the mean-field approach.

在本文中，我们从理论上研究了温度对非极化准一维电子气 (Q1DEG) 中自旋相关性的影响。在 Singwi etal的自洽平均场方法的量子版本中动态处理相关性静态结构因子和对相关函数的 ↑↑ 和 ↑↓ 分量的数值结果，以及依赖于波矢量的静态自旋和电荷磁化率在很宽的温度范围内呈现T和电子耦合r _s。我们发现最近报道的 (2020 J. Phys.: Condens. Matter. 32 335403) 非单调T依赖的接触对相关函数g ( r = 0; T ) 主要由 ↑↓ 相关性和热效应之间的相互作用驱动。在给定温度，动力学二者↑↑和↑↓相关性被发现成为随耦显著ř _小号在3.5，明确地体现为明显峰值ķ _˚F在结构因子的相应部件（周期振荡）（成对相关函数）。对静态自旋和电荷磁化率的分析表明，↑↑ 和 ↑↓ 相关性之间的不平衡可能会导致波矢量的自旋密度波 (SDW) 相位在足够高的T的临界耦合上方~ 3.5 k _F的过渡 ，而在低T时到长波长 SDW 相位。温度越高，预测的 SDW 阶段的临界耦合就越高。有趣的是，发现在有限T Q1DEG 中最近预测的 Wigner 晶体不稳定性之前，过渡到 SDW 阶段。此外，如果从部分自旋极化电子开始，则发现 SDW 不稳定性会转移到稍高的τ和r _s。此外，我们还给出了有限T的非极化和完全自旋极化相的自由交换相关能、自由相关能和多余动能的结果。 Q1DEG。在有趣的地方，我们将我们的结果与平均场方法的静态版本的预测进行了比较。