相互作用形变费米面运动学的精确解
Exact solutions for kinematics across interaction-deformed Fermi surfaces
- Princeton University（普林斯顿大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本研究推导了相互作用费米面形变时占据亏损与盈余的精确变化率，揭示了表面扫过权重与Luttinger被积函数变化的恒等式，且不依赖Luttinger定理成立。
AI中文摘要：
Luttinger定理确定了费米液体费米海的体积，但并未确定相互作用如何在其表面周围重新分配占据。对于在固定密度下开启并调节的相互作用，我们推导了相互作用费米面内部占据亏损和外部盈余的精确变化率。每一项都是形变表面扫过的权重加上固定动量下Luttinger被积函数的变化；表面项之差是非相干权重$1 - Z_{\vec k}$的通量。这些恒等式在有无Luttinger定理的情况下均成立。
英文摘要：
Luttinger's theorem fixes the volume of the Fermi sea of a Fermi liquid, but not how interactions redistribute occupation around its surface. For an interaction switched on and tuned at fixed density, we derive the exact rates of change of the occupation deficit inside the interacting Fermi surface and of the surplus outside it. Each is the weight swept by the deforming surface plus a change of Luttinger's integrand at fixed momentum; the difference of the surface terms is flux of incoherent weight $1 - Z_{\vec k}$. These identities hold with or without the Luttinger theorem.
