Localization Transition in a Ballistic Quantum Wire

Abstract

The many-body wave-function of an interacting one-dimensional electron system is probed, focusing on the low-density, strong interaction regime. The properties of the wave-function are determined using tunneling between two long, clean, parallel quantum wires in a GaAs/AlGaAs heterostructure, allowing for gate-controlled electron density. As electron density is lowered to a critical value the many-body state abruptly changes from an extended state with a well-defined momentum to a localized state with a wide range of momentum components. The signature of the localized states appears as discrete tunneling features at resonant gate-voltages, corresponding to the depletion of single electrons and showing Coulomb-blockade behavior. Typically 5-10 such features appear, where the one-electron state has a single-lobed momentum distribution, and the few-electron states have double-lobed distributions with peaks at $\pm k_F$. A theoretical model suggests that for a small number of particles (N<6), the observed state is a mixture of ground and thermally excited spin states.

10 pages, 4 figures, 1 table

References in corpus (6)

• Spin-charge separation and localization in one-dimension
• Non-Unitary Spin-Charge Separation in One-Dimensional Fermion Gas
• Green's function for magnetically incoherent interacting electrons in one dimension
• Finite-size effects in tunneling between parallel quantum wires
• Interference and zero-bias anomaly in tunneling between Luttinger-liquid wires
• Theory of momentum resolved tunneling into a short quantum wire

Cited by in corpus (37)

• The spin-incoherent Luttinger liquid
• Ground state properties of the one dimensional Coulomb gas
• Coulomb drag between two spin incoherent Luttinger liquids
• 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
• Localization in an Inhomogeneous Quantum Wire
• Ground state properties of the one-dimensional electron liquid
• Correlation effects in quasi one dimensional electron wires
• The electron lifetime in Luttinger liquids
• Electron tunneling into a quantum wire in the Fabry-Perot regime
• Spectral function of few electrons in quantum wires and carbon nanotubes as a signature of Wigner localization
• Kondo screening cloud and the charge staircase in one-dimensional mesoscopic devices
• Absence of Wigner molecules in one-dimensional few-fermion systems with short-range interactions
• High-density correlation energy expansion of the one-dimensional uniform electron gas
• Deformed Wigner crystal in a one-dimensional quantum dot
• Spin-catalyzed hopping conductivity in disordered strongly interacting quantum wires
• Chemistry in One Dimension
• Local Density of States for Individual Energy Levels in Finite Quantum Wires
• Evolution of the quantum Hall bulk spectrum into chiral edge states
• Boundary Green's Function for Spin-Incoherent Interacting Electrons in One Dimension
• Spin-incoherent behavior in the ground state of strongly correlated systems
• Fermi-edge singularity in a spin-incoherent Luttinger liquid
• Thermal disruption of a Luttinger liquid
• Thermoelectric Scanning Gate Interferometry on a Quantum Point Contact
• Signatures of Strong Correlations in One-Dimensional Ultra-Cold Atomic Fermi Gases
• Ground states of long-range interacting fermions in one spatial dimension
• Symmetry-broken local-density approximation for one-dimensional systems
• Effects of interedge scattering on the Wigner crystallization in graphene nanoribbons
• Tunneling Density of States, Pair Correlation, and Josephson Current in Spin-Incoherent Luttinger Liquid-Superconductor Hybrid Systems
• Probing Wigner correlations in a suspended carbon nanotube
• Wigner crystallization at graphene edges
• Singular responses of spin-incoherent Luttinger liquids
• Non-equilibrium charge noise and dephasing from a spin-incoherent Luttinger liquid
• Hartree-Fock calculations of a finite inhomogeneous quantum wire
• Junctions of Spin-Incoherent Luttinger Liquids with Ferromagnets and Superconductors
• Real-Time Ramsey Interferometry in Fractional Quantum Hall States
• Impact of the non-canonical approach to the exact solution of the ideal one-dimensional electron gas confined with an anisotropic quantum wire of oscillator-shaped profile