Asymmetric Zero-Bias Anomaly for Strongly Interacting Electrons in One Dimension

Abstract

We study a system of one-dimensional electrons in the regime of strong repulsive interactions, where the spin exchange coupling J is small compared with the Fermi energy, and the conventional Tomonaga-Luttinger theory does not apply. We show that the tunneling density of states has a form of an asymmetric peak centered near the Fermi level. In the spin-incoherent regime, where the temperature is large compared to J, the density of states falls off as a power law of energy εmeasured from the Fermi level, with the prefactor at positive energies being twice as large as that at the negative ones. In contrast, at temperatures below J the density of states forms a split peak with most of the weight shifted to negative ε.

4 pages, 2 figures

References in corpus (13)

• Luttinger Liquid Behavior in Carbon Nanotubes
• Spin-charge separation and localization in one-dimension
• Experimental Evidence for Resonant-Tunneling in a Luttinger-Liquid
• Conductance of a quantum wire in the Wigner crystal regime
• Many-body spin related phenomena in ultra-low-disorder quantum wires
• Conductance of a quantum wire at low electron density
• Spin Properties of Low Density One-Dimensional Wires
• Non-Unitary Spin-Charge Separation in One-Dimensional Fermion Gas
• Green's function for magnetically incoherent interacting electrons in one dimension
• Zero temperature correlation functions for the impenetrable fermion gas
• Spectral function of the 1D Hubbard model in the $U\to +\infty$ limit
• Finite temperature spectral-functions of strongly correlated one-dimensional electron systems
• Fermi-edge singularity in a spin-incoherent Luttinger liquid

Cited by in corpus (22)

• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• The spin-incoherent Luttinger liquid
• Wigner crystal physics in quantum wires
• Spin-charge separation in one-dimensional fermion systems beyond the Luttinger liquid theory
• Spin-Incoherent Transport in Quantum Wires
• Spectral properties of a spin-incoherent Luttinger Liquid
• AFM probe for the signatures of Wigner correlations in the conductance of a one-dimensional quantum dot
• Spectral functions of strongly interacting isospin-1/2 bosons in one dimension
• Fractional Wigner crystal in the helical Luttinger liquid
• Bosonization of strongly interacting electrons
• Spin-charge separation in a strongly correlated spin-polarized chain
• Out of equilibrium density dynamics of a quenched fermionic system
• Spin, charge and $\eta$-spin separation in one-dimensional photo-doped Mott insulators
• Correlation functions for the detection of Wigner molecules in a one-channel Luttinger liquid quantum dot
• Theory of the STM detection of Wigner molecules in spin incoherent CNTs
• Length-Dependent Conductance of a Spin-Incoherent Hubbard chain; Monte Carlo Calculations
• Fractional exclusion statistics and thermodynamics of the Hubbard chain in the spin-incoherent Luttinger liquid regime
• Nature of Spinons in 1D Spin Chains
• Tunneling Density of States, Pair Correlation, and Josephson Current in Spin-Incoherent Luttinger Liquid-Superconductor Hybrid Systems
• Singular responses of spin-incoherent Luttinger liquids
• Junctions of Spin-Incoherent Luttinger Liquids with Ferromagnets and Superconductors
• Numerical methods and analytic results for one-dimensional strongly interacting spinor gases