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arXiv 1102.3854cond-mat.str-el
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一维电子液体的基态性质

Ground state properties of the one-dimensional electron liquid

R. M. Lee, N. D. Drummond

摘要:

本文用量子蒙特卡罗方法计算了一维电子气的能量、对关联函数、静态结构因子和动量密度。我们能够解决在SSF中的费米波矢量的偶数整数倍,这增长的耦合增加的峰值。我们的MD结果表明,在有效的费米波矢量的相互作用强度提高的顺磁谐波线的增加,这似乎是一个结果的消失之间的差异的波函数的顺磁和铁磁系统。我们已经提取了Luttinger液体指数从我们的MD通过拟合周围的费米波矢量的数据,发现铁磁无限细的线和铁磁谐波线的指数之间的良好协议。

英文摘要:

We present calculations of the energy, pair correlation function (PCF), static structure factor (SSF), and momentum density (MD) for the one-dimensional electron gas using the quantum Monte Carlo method. We are able to resolve peaks in the SSF at even-integer-multiples of the Fermi wave vector, which grow as the coupling is increased. Our MD results show an increase in the effective Fermi wave vector as the interaction strength is raised in the paramagnetic harmonic wire; this appears to be a result of the vanishing difference between the wave functions of the paramagnetic and ferromagnetic systems. We have extracted the Luttinger liquid exponent from our MDs by fitting to data around the Fermi wave vector, finding good agreement between the exponent of the ferromagnetic infinitely-thin wire and the ferromagnetic harmonic wire.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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