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 (23)
- Bosonization and Strongly Correlated Systems
- One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
- Bosonization for Beginners --- Refermionization for Experts
- Colloquium: Nonlinear collective interactions in quantum plasmas with degenerate electron fluids
- Universal theory of nonlinear Luttinger liquids
- Coherent control of single electrons: a review of current progress
- Electron quantum optics in ballistic chiral conductors
- Fractional excitations in the Luttinger liquid
- Electron quantum optics in quantum Hall edge channels
- Waveform measurement of charge- and spin-density wave packets in a Tomonaga-Luttinger liquid
- Fermionic Quasiparticle Representation of Tomonaga-Luttinger Hamiltonian
- Orthogonality catastrophe and shock waves in a non-equilibrium Fermi gas
- Quantum ripples over a semi-classical shock
- From the Hartree dynamics to the Vlasov equation
- Dynamics of waves in 1D electron systems: Density oscillations driven by population inversion
- Spin polarised scanning tunneling probe for helical Luttinger liquids
- Semiclassical approach to Dynamics of Interacting Fermions
- Time-resolved charge fractionalization in inhomogeneous Luttinger liquids
- Dissipationless kinetics of one dimensional interacting fermions
- Charge and Spin Fractionalization Beyond the Luttinger Liquid Paradigm
- Quantum kinetic theories in degenerate plasmas
- Transient dynamics of spin-polarized injection in helical Luttinger liquids
- The fate of quantum shock waves at late times