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arXiv 0912.4639cond-mat.mes-hallcond-mat.str-el
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哈伯德环:由磁通量变化引起的电流

Hubbard ring: currents induced by change of magnetic flux

M. Mierzejewski, J. Dajka, J. Łuczka

摘要:

我们研究了量子环中的电流,该量子环由一个磁通量穿过,该磁通量可以以任意方式从时间$t_i$的初始值$ϕ_i$变化到时间$t_f$的最终值$ϕ_f$。环中电子的动力学行为用Hubbard模型和扩展的哈伯德模型描述。我们表明,时间依赖性的感应电流承担电子相关的信息。在具有无限在位排斥的哈伯德模型的情况下,我们证明了$t>t_f$的电流与$t_f$之前的通量变化无关。此外,该电流完全由初始平衡问题的解和$ϕ_f$的值确定。除了介观环之外,我们的研究结果对于设计环形光晶格量子马达也有重要的意义。

英文摘要:

We investigate currents in a quantum ring threaded by a magnetic flux which can be varied in an arbitrary way from an initial value $ϕ_i$ at time $t_i$ to a final value $ϕ_f$ at time $t_f$. Dynamics of electrons in the ring is described by the Hubbard and the extended Hubbard models. We demonstrate that time dependence of the induced current bears information on electron correlations. In the case of the Hubbard model with infinite on--site repulsion we prove that the current for $t>t_f$ is independent of the flux variation before $t_f$. Additionally, this current is fully determined by a solution of the initial equilibrium problem and the value of $ϕ_f$. Apart from mesoscopic rings our results pose important implications for designing of quantum motors built out as the ring--shaped optical lattice.

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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