Fermi-edge singularity in a spin-incoherent Luttinger liquid

Abstract

We theoretically investigate the Fermi edge singularity in a spin incoherent Luttinger liquid. Both cases of finite and infinite core hole mass are explored, as well as the effect of a static external magnetic field of arbitrary strength. For a finite mass core hole the absorption edge behaves as $(\omega -{\omega }_{\mathrm{th}}{)}^{\alpha }/\sqrt{|\ln (\omega -{\omega }_{\mathrm{th}})|}$ for frequencies $\omega$ just above the threshold frequency ${\omega }_{\mathrm{th}}$. The exponent $\alpha$ depends on the interaction parameter $g$ of the interacting one dimensional system, the electron-hole coupling, and is independent of the magnetic field strength, the momentum, and the mass of the excited core hole (in contrast to the spin coherent case). In the infinite mass limit, the spin incoherent problem can be mapped onto an equivalent problem in a spinless Luttinger liquid for which the logarithmic factor is absent, and backscattering from the core hole leads to a universal contribution to the exponent $\alpha$.

4 pages, 1 figure

References in corpus (6)

• Spin-charge separation and localization in one-dimension
• Green's function for magnetically incoherent interacting electrons in one dimension
• Localization Transition in a Ballistic Quantum Wire
• Theory of momentum resolved tunneling into a short quantum wire
• Transport in a spin incoherent Luttinger liquid
• Interference as a Probe of Spin Incoherence in Strongly Interacting Quantum Wires

Cited by in corpus (6)

• Asymmetric Zero-Bias Anomaly for Strongly Interacting Electrons in One Dimension
• Length-Dependent Conductance of a Spin-Incoherent Hubbard chain; Monte Carlo Calculations
• Edge singularities in high-energy spectra of gapped one-dimensional magnets in strong magnetic fields
• Singular responses of spin-incoherent Luttinger liquids
• Non-equilibrium charge noise and dephasing from a spin-incoherent Luttinger liquid
• Junctions of Spin-Incoherent Luttinger Liquids with Ferromagnets and Superconductors