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arXiv 0712.0960cond-mat.mes-hall
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含杂质介观环中关联电子的持续电流

Persistent current of correlated electrons in mesoscopic ring with impurity

Roman Krcmar, Andrej Gendiar, Martin Mosko, Radoslav Nemeth, Pavel Vagner, Lubos Mitas

摘要:

通过求解多体薛定谔方程,计算了具有单个散射体的一维连续圆环中的关联电子的持续流,其中电子之间通过有限程的电子-电子(e-e)相互作用相互作用。该问题是解决组态相互作用(CI)和扩散蒙特卡罗(DMC)方法。CI和DMC结果吻合良好。在这两种情况下,作为环长$L$的函数的持续电流$I$表现出典型的Luttinger液体的渐近依赖性$I \propto L^{-1-α}$,其中功率$α$仅取决于电子-电子相互作用。$α$的数值与重整化群理论的已知公式一致。

英文摘要:

The persistent current of correlated electrons in a continuous one-dimensional ring with a single scatterer is calculated by solving the many-body Schrodinger equation for several tens of electrons interacting via the electron-electron (e-e) interaction of finite range. The problem is solved by the configuration-interaction (CI) and diffusion Monte Carlo (DMC) methods. The CI and DMC results are in good agreement. In both cases, the persistent current $I$ as a function of the ring length $L$ exhibits the asymptotic dependence $I \propto L^{-1-α}$ typical of the Luttinger liquid, where the power $α$ depends only on the e-e interaction. The numerical values of $α$ agree with the known formula of the renormalisation-group theory.

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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