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arXiv 0806.1562cond-mat.mes-hall
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微波诱导的零电阻态必然是静态的吗?

Are Microwave Induced Zero Resistance States Necessarily Static?

Ilya G. Finkler, Bertrand I. Halperin

摘要:

我们研究了霍尔电导率的不均匀性对弱垂直磁场中微波辐照二维电子系统中零电阻态性质的影响,并表明在某些情况下可能会出现随时间变化的畴模式。对于一个环形的Corbino几何形状,与平衡电荷密度随半径线性变化,我们发现一个时间周期性的非平衡解,这可能是由一个电荷传感器,如SET检测。对于一个模型上的环面,除了静态域模式看到在高和低的平衡电荷不均匀性的值,我们发现,在中间政权,各种非稳态也可以存在。我们将在模拟中看到的可能性分类。在一个特定的唯象模型,我们表明,线性化的非线性电荷连续性方程关于一个特别简单的畴壁配置和分析的本征模,使我们能够估计的完整的非线性方程的解决方案的周期。

英文摘要:

We study the effect of inhomogeneities in Hall conductivity on the nature of the Zero Resistance States seen in the microwave irradiated two-dimensional electron systems in weak perpendicular magnetic fields, and we show that time-dependent domain patterns may emerge in some situations. For an annular Corbino geometry, with an equilibrium charge density that varies linearly with radius, we find a time-periodic non-equilibrium solution, which might be detected by a charge sensor, such as an SET. For a model on a torus, in addition to static domain patterns seen at high and low values of the equilibrium charge inhomogeneity, we find that, in the intermediate regime, a variety of nonstationary states can also exist. We catalog the possibilities we have seen in our simulations. Within a particular phenomenological model, we show that linearizing the nonlinear charge continuity equation about a particularly simple domain wall configuration and analyzing the eigenmodes allows us to estimate the periods of the solutions to the full nonlinear equation.

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