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arXiv 1003.1846cond-mat.mes-hall
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一维振荡势的非绝热电荷泵:无限系统和有限环的结果

Nonadiabatic charge pumping by oscillating potentials in one dimension: results for infinite system and finite ring

Abhiram Soori, Diptiman Sen

摘要:

我们研究了在一维非相互作用电子系统中,当静态电势和以时间周期T振荡的电势的组合被施加时的电荷泵。我们考虑了一个无限大的系统,使用狄拉克方程的连续近似,和一个周期环有限数量的网站使用紧束缚模型。无限大系统被认为是耦合到两侧的水库,在相同的化学势和温度。我们考虑了一个模型,其中振荡电位帮助电子访问的静态电位产生的传输共振,并表明,非绝热泵浦违反简单的\sin的规则,这是绝热两个站点泵浦遵守。对于环,我们不引入任何水库,我们提出了一种方法来计算电流平均在无限的时间使用时间演化算子U(T)假设一个纯粹的哈密顿演化。我们分析表明,平均电流为零,如果哈密尔顿是真实的和时间反演不变。数值研究表明,另一个有趣的结果,即,积分电流是零的任何时间依赖性的潜力,如果它只适用于一个网站。最后研究了谐振频率和非谐振频率下两点泵浦对环形腔的影响,发现两种情况下的泵浦电流对泵浦振幅的依赖关系不同。

英文摘要:

We study charge pumping when a combination of static potentials and potentials oscillating with a time period T is applied in a one-dimensional system of non-interacting electrons. We consider both an infinite system using the Dirac equation in the continuum approximation, and a periodic ring with a finite number of sites using the tight-binding model. The infinite system is taken to be coupled to reservoirs on the two sides which are at the same chemical potential and temperature. We consider a model in which oscillating potentials help the electrons to access a transmission resonance produced by the static potentials, and show that non-adiabatic pumping violates the simple \sin ϕrule which is obeyed by adiabatic two-site pumping. For the ring, we do not introduce any reservoirs, and we present a method for calculating the current averaged over an infinite time using the time evolution operator U(T) assuming a purely Hamiltonian evolution. We analytically show that the averaged current is zero if the Hamiltonian is real and time reversal invariant. Numerical studies indicate another interesting result, namely, that the integrated current is zero for any time-dependence of the potential if it is applied to only one site. Finally we study the effects of pumping at two sites on a ring at resonant and non-resonant frequencies, and show that the pumped current has different dependences on the pumping amplitude in the two cases.

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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