二维费米极化子的稳定性
Stability of the two-dimensional Fermi polaron
摘要：
考虑了由N个费米子组成的理想气体与杂质粒子在二维空间相互作用的系统。杂质和费米子之间的相互作用是用两体点相互作用来表示的，其强度由两体结合能决定，结合能是模型的一个自由参数。如果杂质的质量比费米子的质量大1.225倍，则表明能量在费米子的数量N下均匀地有界。这一结果改善了以前的，N-依赖的下限，它补充了最近的，类似的约束费米极化子在三维空间。
英文摘要：
A system composed of an ideal gas of N fermions interacting with an impurity particle in two space dimensions is considered. The interaction between impurity and fermions is given in terms of two-body point interactions whose strength is determined by the two-body binding energy, which is a free parameter of the model. If the mass of the impurity is 1.225 times larger than the mass of a fermion, it is shown that the energy is bounded below uniformly in the number N of fermions. This result improves previous, N-dependent lower bounds and it complements a recent, similar bound for the Fermi polaron in three space dimensions.
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