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

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Cited by in corpus (12)

• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• The spin-incoherent Luttinger liquid
• 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
• The spectral function of Mott-insulating Hubbard ladders: From fractionalized excitations to coherent quasi-particles
• Fermi-edge singularity in the vicinity of the resonant scattering condition
• Fractional exclusion statistics and thermodynamics of the Hubbard chain in the spin-incoherent Luttinger liquid regime
• Singular responses of spin-incoherent Luttinger liquids
• The photon absorption edge in superconductors and gapped 1D systems
• Non-equilibrium charge noise and dephasing from a spin-incoherent Luttinger liquid
• Junctions of Spin-Incoherent Luttinger Liquids with Ferromagnets and Superconductors