标题： 量子隧穿结中的耗散 显示英文标题

标题： Dissipation in quantum tunnel junctions

摘要： 基于实验数据，我们提出一个模型来评估固态结中量子隧穿过程中耗散的能量。 该模型包含一个非线性摩擦力，以一般形式 f(x)={\gamma } v(x)^{\alpha }表示，其中{\gamma }是摩擦系数，该系数是通过数据拟合得到的。 我们通过施加略低于势垒高度的电压直至接近击穿电压来研究这一现象。 此外，通过降低温度并调整施加到结上的电压，研究了势垒高度变化引起的耗散效应。 我们强调，耗散对粒子能量损失比例的关键依赖性由两个主要机制调节：电压的应用和温度的变化。 在给定温度下，随着隧穿粒子能量的增加，耗散的能量通常会减少。 然而，对于给定的隧穿粒子能量，本研究显示在137 K时存在一个转折点，之后随着温度的升高，耗散能量开始增加。 这可能是因为电子-声子相互作用的增加，在较高温度下超过势垒高度的降低，因此我们将T = 137 K识别为所考虑的固态结耗散特性变化的关键温度。 值得注意的是，研究还发现，在137 K以上，耗散参数{\gamma }和{\alpha }出现显著变化，表现出线性下降，并强调了在更高温度下进一步研究的重要性。 显示英文摘要

摘要： Based on experimental data, we propose a model to evaluate the energy dissipated during quantum tunneling processes in solid-state junctions. This model incorporates a nonlinear friction force expressed in the general form f(x)={\gamma} v(x)^{\alpha}, where {\gamma} is the frictional coefficient, which is fitted to data. We study this by applying voltages just below the barrier height up to near break down voltages. Furthermore, by lowering the temperature and adjusting the applied voltage to the junction, the effect on dissipation caused by the variation in barrier height is examined. We underline that the crucial dependency of dissipation on the fraction of particle energy lost is modulated by two primary mechanisms: the application of voltage and the variation of temperature. The fraction of energy dissipated decreases in general for increasing energies of the tunneling particles at a given temperature. However, for a given energy of the tunneling particle, the present work demonstrates a turning point at a temperature of 137 K, after which the dissipated energy starts increasing for higher temperatures. The latter can possibly be due to the increase of electron-phonon interactions which become predominant over barrier height reduction at higher temperatures and hence we identify T = 137 K as a critical temperature for change in dissipative characteristics of the solid-state junction under consideration. Notably, also the study identifies significant changes in dissipation parameters, {\gamma} and {\alpha}, above 137 K, exhibiting a linear decline and underscoring the importance of further research at higher temperatures.