Based on this, we derive an effective low-energy theory within the Tomonaga-Luttinger liquid (TLL) framework. We estimate the strength of the possible interactions and from this deduce the values of the TLL parameters for charge modes. Finally, we investigate possible instabilities of TLL by ...
Luttinger liquid theory provides a framework to study this physics Testable in many different microscopic systems (organics, nantubes, quantum wires, cold atoms, spin systs) Luttinger liquid provides a firm footing to go beyond To Luttinger liquids ... And beyond... Effect of a lattice:...
我们还可以考虑再假设fermion liquid theory成立时一维下的低能激发，考虑上图，对于一维，只存在wave vec...
The present understanding of the physics of correlated electrons in quantum wires is summarized in terms of non-Fermi liquid collective excitations. The latter are determined within the Luttinger liquid model by using the bosonization technique. Charge and spin density modes are derived. Comparison ...
We explore the behavior of the dynamical structure factor $S(q,\\omega)$ beyond the limits of applicability of Tomonaga-Luttinger liquid theory in the whole range in $K_L$. We observe a crossover from a weakly interacting Bose gas regime at low density ($K_L\\gg 1$) to a quasi-...
D. M. ‘Luttinger liquid theory’ of one-dimensional quantum fluids. I. Properties of the Luttinger model and their extension to the general 1D interacting spinless Fermi gas. J. Phys. C Solid State Phys. 14, 2585–2610 (1981). ADS Google Scholar Voit, J. One-dimensional Fermi liquids...
Now we are ready to write down the Fermi Liquid Theory in more familiar form In weak coupling and at low temperature, the density is not far from the free Fermi distribution. Thus, define the density variation Rewrite H in terms of Bare energy : It is only a constant. Will ignore it ...
Corrections to “Luttinger Liquid Theory as a Model of the Gigahertz Electrical Properties of Carbon Nanotubes” are presented, with one using the Tomonaga-Luttinger liquid (TLL) insulator-to-metal transition model and one using a field-emission hopping model. While... Burke,J P. - 《IEEE Tran...
卢欣|Note(5)---从Fermi Liquid到Tomonaga-Luttinger Liquid: 微扰理论的失效 Hsin.Lu 物理学渣! 50 人赞同了该文章 上节讲到了Peierls Instability,它可用以解释一维电子系统产生电荷密度波(CDW)的机制。其实本质上是由于一维电子系统的费米面完全嵌套(Fermi surface nesting),其使得林哈德(Lindhard)函数在 q...
The Luttinger liquid (LL) model of one-dimensional (1D) electronic systems provides a powerful tool for understanding strongly correlated physics, including phenomena such as spin–charge separation1. Substantial theoretical efforts have attempted to ext