Theory of momentum resolved tunneling into a short quantum wire

Abstract

Motivated by recent tunneling experiments in the parallel wire geometry, we calculate results for momentum resolved tunneling into a short one-dimensional wire, containing a small number of electrons. We derive some general theorems about the momentum dependence, and we carry out exact calculations for up to N=4 electrons in the final state, for a system with screened Coulomb interactions that models the situation of the experiments. We also investigate the limit of large $N$ using a Luttinger-liquid type analysis. We consider the low-density regime, where the system is close to the Wigner crystal limit, and where the energy scale for spin excitations can be much lower than for charge excitations, and we consider temperatures intermediate between the relevant spin energies and charge excitations, as well as temperatures below both energy scales.

19 pages, 13 figures, clarified text in a few points, added 1 figure, updated references

References in corpus (4)

• Spin-charge separation and localization in one-dimension
• Green's function for magnetically incoherent interacting electrons in one dimension
• Measuring Luttinger Liquid Correlations from Charge Fluctuations in a Nanoscale Structure
• Ladder approximation to spin velocities in quantum wires

Cited by in corpus (21)

• Localization Transition in a Ballistic Quantum Wire
• AFM probe for the signatures of Wigner correlations in the conductance of a one-dimensional quantum dot
• Correlation effects in quasi one dimensional electron wires
• The electron lifetime in Luttinger liquids
• Transport in a spin incoherent Luttinger liquid
• Bosonization of strongly interacting electrons
• Absence of Wigner molecules in one-dimensional few-fermion systems with short-range interactions
• Spin-charge separation in a strongly correlated spin-polarized chain
• Boundary Green's Function for Spin-Incoherent Interacting Electrons in One Dimension
• 2kF-Friedel to 4kF-Wigner oscillations in one-dimensional Fermi gases under confinement
• Length-Dependent Conductance of a Spin-Incoherent Hubbard chain; Monte Carlo Calculations
• Interference as a Probe of Spin Incoherence in Strongly Interacting Quantum Wires
• Fermi-edge singularity in a spin-incoherent Luttinger liquid
• Density-functional theory of inhomogeneous electron systems in thin quantum wires
• Multiple crossovers in interacting quantum wires
• 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
• Numerical methods and analytic results for one-dimensional strongly interacting spinor gases
• Real-Time Ramsey Interferometry in Fractional Quantum Hall States
• Hall effect between parallel quantum wires