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首页> 外文期刊>Journal of Physics. Condensed Matter >The effect of an anisotropic confinement on the ground-state energy of a polaron in a parabolic quantum dot
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The effect of an anisotropic confinement on the ground-state energy of a polaron in a parabolic quantum dot

机译：各向异性约束对抛物线量子点中极化子基态能量的影响

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We study the ground-state energy of a large polaron in a quantum dot. The electron is treated as trapped in an anisotropic parabolic box while the coupling to bulk LO phonons is considered. An upper bound to the ground-state energy of the polaron is obtained using the Fock approximation of Mart and Burkey. With this treatment, we obtain variational results that are good to describe weak or strong electron-phonon coupling as well as the isotropic and the one-and two-dimensional confinement limits. The usual asymptotic limits are found for all of these cases. Numerical calculations carried out in order to study the validity of each of these limits as a function of the degree of anisotropy are presented. Also we discuss the effect that the anisotropy and the strength of the confining potential have on the self-energy of the polaron. We find that an anisotropic confinement is more effective as regards increasing the self-energy of the polaron than an isotropic confinement. [References: 13]
机译：我们研究量子点中大极化子的基态能量。在考虑与体LO声子耦合的同时，将电子视为被捕获在各向异性抛物线形盒中。使用Mart和Burkey的Fock逼近来获得极化子基态能量的上限。通过这种处理，我们获得了可以描述弱或强电子-声子耦合以及各向同性和一维和二维约束极限的变分结果。在所有这些情况下都可以找到通常的渐近极限。提出了进行数值计算以研究这些极限中的每一个作为各向异性程度的函数的有效性。我们还讨论了各向异性和约束电位的强度对极化子自能的影响。我们发现，在增加极化子的自能量方面，各向异性限制比各向同性限制更有效。 [参考：13]

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