Electron backscattering from dynamical impurities in a Luttinger liquid

Abstract

Electron backscattering in a Luttinger liquid with an impurity is investigated in the presence of zero point motion of the phonon lattice. The impurity can mean either a mass defect, an elastic defect or a pinning defect. The phonon spectrum is then affected by the presence of the defect, which enters in the renormalization group equations for backscattering. The RG equation becomes dependent on the energy cutoff for finite Debye frequency ${\omega }_D$ giving rise to finite energy effects. We compute the local density of states and show how the renormalization group flow is affected by a finite ${\omega }_D$.

6 pages, 6 figures. Corrected references, did not compile

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Cited by in corpus (9)

• Duality of Weak and Strong Scatterer in Luttinger liquid Coupled to Massless Bosons
• Local impurity in multichannel Luttinger liquid
• Impurity Scattering in Luttinger Liquid with Electron-Phonon Coupling
• Effect of electron-phonon coupling on transmission through Luttinger liquid hybridized with resonant level
• Nonlinear transport through a dynamic impurity in a strongly interacting one-dimensional electron gas
• Universal Duality in Luttinger Liquid Coupled to Generic Environment
• Disorder Effects in Fluctuating One-Dimensional Interacting Systems
• Tunneling into a Luttinger-liquid coupled to acoustic phonons out of equilibrium
• Renormalization flow of a weak extended backscattering Hamiltonian in a non-chiral Tomonaga-Luttinger liquid