论文标题
Luttinger定理在Luttinger表面
Luttinger's theorem in presence of Luttinger surfaces
论文作者
论文摘要
人们普遍认为，兰道从非交互到完全相互作用的电子的绝热延续的假设被认为会违反卢丁格定理。在这里，我们阐明了Luttinger定理证明中可能出了什么问题。该分析提供了一种简单的方法，可以在单波段模型中纠正Luttinger对电子数的表达，其中扰动理论通过Luttinger表面的诞生而无需对称破坏。在这种情况下，我们发现费米的卷仅解释了掺杂量的半填充。在假设的情况下，非对称性破坏Mott绝缘子具有Luttinger表面，我们的分析预测了“ Fermi”表面只是Luttinger的准粒子的显着存在。因此，这些准粒子可以合法地视为“旋子”，而莫特绝缘子则具有Luttinger表面为旋转液体绝缘子的实现。
Breakdown of Landau's hypothesis of adiabatic continuation from non-interacting to fully interacting electrons is commonly believed to bring about a violation of Luttinger's theorem. Here, we elucidate what may go wrong in the proof of Luttinger's theorem. The analysis provides a simple way to correct Luttinger's expression of the electron number in single-band models where perturbation theory breaks down through the birth of a Luttinger surface without symmetry breaking. In those cases, we find that the Fermi volume only accounts for the doping away from half-filling. In the hypothetical circumstance of a non-symmetry breaking Mott insulator with a Luttinger surface, our analysis predicts the noteworthy existence of quasiparticles whose `Fermi` surface is just the Luttinger one. Therefore, those quasiparticles can be legitimately regarded as `spinons`, and the Mott insulator with a Luttinger surface as realisation of a spin-liquid insulator.
