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arXiv 1209.0506cond-mat.mes-hall
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金属电极上半导体量子点链的热电性质

Thermoelectric Properties of a Semiconductor Quantum Dot Chain Connected to Metallic Electrodes

David M. -T. Kuo, Yia-Chung Chang

摘要:

在库仑阻塞区,研究了金属电极与波导量子点链(SQDC)的热电性质。采用扩展的Hubbard模型模拟了由{ \color{blue} N= 2,3,4,5}量子点组成的SQDC系统.在Keldysh Green函数技术的框架内计算电荷和热流。利用超越平均场理论的方法,得到了量子点个数为任意的SQDC系统的传输系数的封闭形式的Landauer表达式。数值计算和分析的电导($G_e$),塞贝克系数(S),热导,和品质因数(ZT)的线性响应制度。当热导由声子载流子主导时,ZT的优化由功率因数($pF=S^2G_e$)决定。我们发现ZT值的优化有利于以下条件:(1)量子点具有低能级波动,(2)量子点能级位于电极费米能级之上,(3)$Γ< t_c \ll U_0$,其中$t_c$,$U_0$和$Γ$分别是电子点间跳跃强度,在现场电子库仑相互作用和隧穿速率,和(4)$Γ_L=Γ_R$与$Γ_L+Γ_R$保持恒定,其中$Γ_L (Γ_R)$是左(右)隧穿速率。据预测,高ZT值可以通过定制上述条件来实现。

英文摘要:

The thermoelectric properties of a semiconduct quantum dot chain (SQDC) connected to metallic electrodes are theoretically investigated in the Coulomb blockade regime. An extended Hubbard model is employed to simulate the SQDC system consisted of {\color{blue}N=2,3,4, and 5} quantum dots (QDs). The charge and heat currents are calculated in the framework of Keldysh Green's function technique. We obtained a closed-form Landauer expression for the transmission coefficient of the SQDC system with arbitrary number of QDs by using the method beyond mean-field theory. The electrical conductance ($G_e$), Seebeck coefficient (S), thermal conductance, and figure of merit (ZT) are numerically calculated and analyzed in the linear response regime. When thermal conductance is dominated by phonon carriers, the optimization of ZT is determined by the power factor ($pF=S^2G_e$). We find that the optimization of ZT value favors the following conditions:(1) QDs with low energy level fluctuations, (2) QD energy levels lie above the Fermi level of electrodes, (3) $Γ< t_c \ll U_0$, where $t_c$, $U_0$, and $Γ$ are electron interdot hopping strength, on-site electron Coulomb interaction, and tunneling rate, respectively, and (4) $Γ_L=Γ_R$ with $Γ_L+Γ_R$ kept constant, where $Γ_L (Γ_R)$ is the left (right) tunneling rate. It is predicted that high ZT values can be achieved by tailoring above conditions.

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