固态$^4$ He晶界的有限尺寸Berezinski-Kosterlitz-无相变及$^3$ He杂质的作用
Finite size Berezinski-Kosterlitz-Thouless transition at grain boundaries in solid $^4$He and role of $^3$He impurities
摘要：
我们分析了在固态$^4$ He中低温下观察到的非经典转动惯量（NCRI）的复杂现象，并结合预熔的$^4$ He薄膜中晶界处的二维Berezinski-Kosterlitz-无相变进行了讨论.我们发现，温度和$^3$ He掺杂的NCRI分数（NCRIF）的依赖性可以归因于有限的晶粒尺寸引起的有限尺寸效应。我们给出了估计的平均尺寸的颗粒，我们认为是有限的同位素$^3$他杂质，我们提供了一个简单的幂律关系的NCRIF和$^3$他的浓度。
英文摘要：
We analyze the complex phenomenology of the Non-Classical Rotational Inertia (NCRI) observed at low temperature in solid $^4$He within the context of a two dimensional Berezinski-Kosterlitz-Thouless transition in a premelted $^4$He film at the grain boundaries. We show that both the temperature and $^3$He doping dependence of the NCRI fraction (NCRIF) can be ascribed to finite size effects induced by the finite grain size. We give an estimate of the average size of the grains which we argue to be limited by the isotopic $^3$He impurities and we provide a simple power-law relation between the NCRIF and the $^3$He concentration.
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