Charge fractionalization beyond the Luttinger liquid paradigm: an analytical consideration
arXiv:2012.00833 · doi:10.1103/PhysRevB.103.195148
Abstract
In this paper, we consider analytically the density evolution of a spinless Fermi liquid with a nonlinear dispersion relation into which one particle is injected. The interaction is point-like and the temperature is zero. We obtain a formula for the evolution of the density and discuss the picture it gives as well as the physics behind it. Compared to the case of a linear spectrum, we find further and more complex fractionalization of the initial density hump: it splits into three humps instead of two, moreover, all three change their shapes in a complicated manner. We analyze the mechanisms of these phenomena and calculate their main characteristics. We also show that the fractionalization can be illustrated from a semiclassical point of view.
References in corpus (9)
- Universal theory of nonlinear Luttinger liquids
- Electron quantum optics in quantum Hall edge channels
- Fermionic Quasiparticle Representation of Tomonaga-Luttinger Hamiltonian
- Orthogonality catastrophe and shock waves in a non-equilibrium Fermi gas
- Spin polarised scanning tunneling probe for helical Luttinger liquids
- Time-resolved charge fractionalization in inhomogeneous Luttinger liquids
- Charge and Spin Fractionalization Beyond the Luttinger Liquid Paradigm
- Quantum kinetic theories in degenerate plasmas
- The fate of quantum shock waves at late times