Localization in an Inhomogeneous Quantum Wire

Abstract

We study interaction-induced localization of electrons in an inhomogeneous quasi-one-dimensional system--a wire with two regions, one at low density and the other high. Quantum Monte Carlo techniques are used to treat the strong Coulomb interactions in the low density region, where localization of electrons occurs. The nature of the transition from high to low density depends on the density gradient--if it is steep, a barrier develops between the two regions, causing Coulomb blockade effects. Ferromagnetic spin polarization does not appear for any parameters studied. The picture emerging here is in good agreement with measurements of tunneling between two wires.

4 pages; 2 new figures, substantial revisions and clarifications

References in corpus (13)

• Metal-insulator transition in two-dimensional electron systems
• Spin-charge separation and localization in one-dimension
• Magnetic impurity formation in quantum point contacts
• Ground state properties of the one dimensional Coulomb gas
• Localization Transition in a Ballistic Quantum Wire
• Correlation Induced Inhomogeneity in Circular Quantum Dots
• Incipient Wigner Localization in Circular Quantum Dots
• Theory of momentum resolved tunneling into a short quantum wire
• Correlation effects in quasi one dimensional electron wires
• Conductance of a quantum point contact based on spin-density-functional theory
• Interaction-Induced Strong Localization in Quantum Dots
• Coulomb blockade without potential barriers
• Hartree-Fock calculations of a finite inhomogeneous quantum wire

Cited by in corpus (19)

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• Electron phase shift at the zero-bias anomaly of quantum point contacts
• Tuning the Fano Resonance with an Intruder Continuum
• Phase diagram of a quantum Coulomb wire
• Ferromagnetically coupled magnetic impurities in a quantum point contact
• Spin-orbit-enhanced Wigner localization in quantum dots
• Thermoelectric Scanning Gate Interferometry on a Quantum Point Contact
• Ground-state electronic structure of quasi-one-dimensional wires in semiconductor heterostructures
• Reproducibility of fixed-node diffusion Monte Carlo across diverse community codes: The case of water-methane dimer
• Effects of interedge scattering on the Wigner crystallization in graphene nanoribbons
• Detecting weak coupling in mesoscopic systems with a nonequilibrium Fano resonance
• Wigner crystallization at graphene edges
• Interacting holes in a gated WSe${}_2$ quantum channel: valley correlations and zigzag Wigner crystal
• Quasibound States and Evidence for a Spin 1 Kondo Effect in Asymmetric Quantum Point Contacts
• Quantum Monte Carlo Study of Semiconductor Artificial Graphene Nanostructures
• 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