Planckian properties of 2D semiconductor systems
Planckian properties of 2D semiconductor systems
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二维半导体系统的普朗克特性
DOI：
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
S. Sarma
中科院分区：
文献类型：
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作者：
Seongjin Ahn;S. Sarma
我们从普朗克假设的角度描述和讨论了几种不同掺杂二维半导体系统的低温电阻率（以及温度相关的非弹性散射率），断言(cid:126) /τ = k B T提供了一个散射界，其中τ是适当的弛豫时间。这里考虑的输运状态远低于布洛赫-格吕尼森状态，因此声子散射可以忽略不计。电阻率的温度相关部分在任意低温下几乎是线性的，线性是由屏蔽和无序之间的相互作用引起的，与杂质诱导的弗里德尔振荡引起的载流子散射有关。如果电子之间的库仑相互作用被抑制，温度依赖性就消失了。电阻率的温度系数在较低密度下增强，从而可以详细研究普朗克行为作为材料系统和载流子密度的函数。虽然精确的普朗克界从来没有成立过，但我们发现，无论在实验中还是在理论中，该界似乎近似地适用于散射率从未超过kbt超过一个数量级的情况。此外，我们通过获得库仑相互作用产生的温度相关的自能，计算了温度相关的电子-电子非弹性散射率，并发现它在所有密度和温度下都服从普朗克束缚在一个数量级内。我们引入广义普朗克界的概念，其中(cid:126) /τ以αk B T为界，在超普朗克状态下α ~ 10左右，而α =1的严格普朗克界是一个非一般的微调情况。
We describe and discuss the low-temperature resistivity (and the temperature-dependent inelastic scattering rate) of several different doped 2D semiconductor systems from the perspective of the Planckian hypothesis asserting that (cid:126) /τ = k B T provides a scattering bound, where τ is the appropriate relaxation time. The regime of transport considered here is well-below the Bloch-Gruneisen regime so that phonon scattering is negligible. The temperature-dependent part of the resistivity is almost linear-in- T down to arbitrarily low temperatures, with the linearity arising from an interplay between screening and disorder, connected with carrier scattering from impurity-induced Friedel oscillations. The temperature dependence disappears if the Coulomb interaction between electrons is suppressed. The temperature coefficient of the resistivity is enhanced at lower densities, enabling a detailed study of the Planckian behavior both as a function of the materials system and carrier density. Although the precise Planckian bound never holds, we find somewhat surprisingly that the bound seems to apply approximately with the scattering rate never exceeding k B T by more than an order of magnitude either in the experiment or in the theory. In addition, we calculate the temperature-dependent electron-electron inelastic scattering rate by obtaining the temperature-dependent self-energy arising from Coulomb interaction, also finding it to obey the Planckian bound within an order of magnitude at all densities and temperatures. We introduce the concept of a generalized Planckian bound where (cid:126) /τ is bounded by αk B T with α ∼ 10 or so in the super-Planckian regime with the strict Planckian bound of α =1 being a nongeneric finetuned situation.
影响因子：
3.7
作者：
Poniatowski, Nicholas R.;Sarkar, Tarapada;Lobo, Ricardo P.;Das Sarma, Sankar;Greene, Richard L.
通讯作者：
Greene, Richard L.
影响因子：
64.8
作者：
Grissonnanche, Gael;Fang, Yawen;Ramshaw, B. J.
通讯作者：
Ramshaw, B. J.