Singular responses of spin-incoherent Luttinger liquids

Abstract

When a local potential changes abruptly in time, an electron gas shifts to a new state which at long times is orthogonal to the one in the absence of the local potential. This is known as Anderson's orthogonality catastrophe and it is relevant for the so-called X-ray edge or Fermi edge singularity, and for tunneling into an interacting one dimensional system of fermions. It often happens that the finite frequency response of the photon absorption or the tunneling density of states exhibits a singular behavior as a function of frequency: $(\frac{{\omega }_{\mathrm{th}}}{\omega -{\omega }_{\mathrm{th}}}{)}^{\alpha }\Theta (\omega -{\omega }_{\mathrm{th}})$ where ${\omega }_{\mathrm{th}}$ is a threshold frequency and $\alpha$ is an exponent characterizing the singular response. In this paper singular responses of spin-incoherent Luttinger liquids are reviewed. Such responses most often do not fall into the familiar form above, but instead typically exhibit logarithmic corrections and display a much higher universality in terms of the microscopic interactions in the theory. Specific predictions are made, the current experimental situation is summarized, and key outstanding theoretical issues related to spin-incoherent Luttinger liquids are highlighted.

21 pages, 3 figures. Invited Topical Review Article

References in corpus (13)

• Green's function for magnetically incoherent interacting electrons in one dimension
• Localization Transition in a Ballistic Quantum Wire
• Spin-Incoherent Transport in Quantum Wires
• Theory of momentum resolved tunneling into a short quantum wire
• Asymmetric Zero-Bias Anomaly for Strongly Interacting Electrons in One Dimension
• Transport in a spin incoherent Luttinger liquid
• Bosonization of strongly interacting electrons
• Boundary Green's Function for Spin-Incoherent Interacting Electrons in One Dimension
• Fermi-edge singularity in a spin-incoherent Luttinger liquid
• Signatures of Strong Correlations in One-Dimensional Ultra-Cold Atomic Fermi Gases
• Multiple crossovers in interacting quantum wires
• Tunneling Density of States, Pair Correlation, and Josephson Current in Spin-Incoherent Luttinger Liquid-Superconductor Hybrid Systems
• Junctions of Spin-Incoherent Luttinger Liquids with Ferromagnets and Superconductors

Cited by in corpus (2)

• Coulomb drag between helical edge states
• Spin-incoherent behavior in the ground state of strongly correlated systems