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Impact of tunneling anisotropy on the conductivity of nanorod dispersions

机译：隧穿各向异性对纳米棒分散体电导率的影响

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摘要

While the tunneling conductance between two spherical-like conducting particles depends on the relative interparticle distance, the wave function overlap between states of two rodlike particles, and so the tunneling conductance, depends also on the relative orientation of the rod axes. Modeling slender rodlike particles as cylindrical quantum wells of diameter D and length L(») D, we calculate the matrix element of the tunneling between two rods for arbitrary relative orientations of the rod axes. We show that tunneling between two parallel rods is about L/Dξ~(1/2) times larger than the tunneling matrix element for perpendicular rods, where ξ is the tunneling decay length. By considering the full dependence of the tunneling conductance on the angle between rod axes, we calculate within an effective medium theory the conductivity of dispersions of rods with different degrees of alignment. We find that for isotropically oriented rods, the effect of orientation in the tunneling processes is marginal for all rod concentrations. On the contrary, for systems of strongly aligned rods, the enhanced tunneling between nearly parallel rods increases significantly the system conductivity in a relatively large concentration range. Next, we consider systems in which short-range attraction between rods is added, as in dispersions of rods with depletion interaction. We find that the strongly anisotropic attraction promotes enhanced tunneling between neighboring parallel rods, increasing the effective medium conductivity by several orders of magnitude compared to the case in which the angular dependence of tunneling is ignored, even for relatively weak attractions.
机译：虽然两个球形导电粒子之间的隧穿电导取决于粒子之间的相对距离，但是两个棒状粒子的状态之间的波函数重叠，因此隧道电导也取决于棒轴的相对方向。将细长的棒状粒子建模为直径为D且长度为L（»）D的圆柱量子阱，我们针对棒轴的任意相对方向计算了两个棒之间隧穿的矩阵元素。我们表明，两个平行杆之间的隧穿比垂直杆的隧穿矩阵元素大L /Dξ〜（1/2）倍，其中ξ是隧穿衰减长度。通过考虑隧穿电导对棒轴之间的角度的完全依赖性，我们在有效的介质理论中计算了不同对准度的棒的分散体的电导率。我们发现，对于各向同性取向的棒材，在隧穿过程中取向的影响对于所有棒材浓度都是微不足道的。相反，对于高度对准的杆系统，在几乎平行的杆之间增强的隧穿在相对较大的浓度范围内显着增加了系统电导率。接下来，我们考虑在杆之间添加短距离吸引的系统，例如在具有耗竭相互作用的杆的分散体中。我们发现，强烈的各向异性吸引力促进了相邻平行杆之间的隧穿增强，与忽略隧穿角度依赖性的情况相比，即使对于相对较弱的吸引力，其有效介质电导率也提高了几个数量级。

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  • 来源
    《Physical review》 |2014年第9期|094202.1-094202.14|共14页
  • 作者

    Biagio Nigro; Claudio Grimaldi;

  • 作者单位

    LPM, Ecole Polytechnique Federate de Lausanne, Station 17, CP-1015 Lausanne, Switzerland;

    Laboratory of Physics of Complex Matter, Ecole Polytechnique Federate de Lausanne, Station 3, CP-1015 Lausanne, Switzerland;

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  • 原文格式 PDF
  • 正文语种 eng
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  • 关键词

    tunneling; quantum wires; composite materials;

    机译：隧道量子线复合材料;

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