二维电子流体中的共线散射与长寿命激发
Collinear scattering and long-lived excitations in two-dimensional electron fluids
AI总结：
本文通过直接计算揭示了二维费米气体中由共线散射支持的长寿命激发，其寿命超出 Landau 费米液体理论上限 $(T_F/T)^α$（$α\approx2$）倍，并利用线性化量子动力学方程与超对称零模的联系解释了其物理机制。
摘要：
长期以来，人们一直认为二维费米气体可以支持长寿命激发，这得益于在二维费米表面上受相空间约束控制的共线准粒子散射。我们提出了一项直接计算，揭示了此类激发。研究发现，这些激发的寿命超过了 Landau 费米液体理论设定的基本界限，超出倍数高达 $(T_F/T)^α$，其中 $α\approx 2$。这些激发表现为奇宇称的费米表面调制，每个奇角动量对应一个。为了解释这一令人惊讶的行为，我们利用了线性化量子动力学方程与在1D无反射 ${\rm sech^2}$ 势中运动的虚构量子粒子动力学之间的联系。在此框架下，我们将费米气体中的长寿命激发识别为由超对称性产生的零模。
英文摘要：
For a long time, it has been thought that 2D Fermi gases could support long-lived excitations, thanks to the collinear quasiparticle scattering controlled by phase space constraints at a 2D Fermi surface. We present a direct calculation that reveals such excitations. The excitation lifetimes are found to exceed the fundamental bound set by Landau Fermi-liquid theory by a factor as large as $(T_F/T)^α$ with $α\approx 2$. These excitations represent Fermi-surface modulations of an odd parity, one per each odd angular momentum. To explain this surprising behavior, we employ a connection between the linearized quantum kinetic equation and the dynamics of a fictitious quantum particle moving in a 1D reflectionless ${\rm sech^2}$ potential. In this framework, we identify the long-lived excitations in Fermi gases as zero modes that arise from supersymmetry.
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