A Luttinger Liquid in Box

Abstract

We study a Luttinger Liquid in a finite one-dimensional wire with box-like boundary conditions by considering the local distribution of the single particle spectral weight. This corresponds to the experimental probability of extracting a single electron at a given place and energy, which can be interpreted as the square of an electron wave-function. For the non-interacting case, this is given by a standing wave at the Fermi wave-vector. In the presence of interactions, however, the wave-functions obtain additional structure with a sharp depletion near the edges and modulations throughout the wire. In the spinful case, these modulations correspond to the separate spin- and charge-like excitations in the system.

5 pages in revtex4 format including 3 epsf-embedded figures. The latest version in PDF format is available from http://fy.chalmers.se/~eggert/papers/LLbox.pdf

References in corpus (5)

• Imaging Electron Wave Functions of Quantized Energy Levels in Carbon Nanotubes
• Boundary Effects on Spectral Properties of Interacting Electrons in One Dimension
• Scanning Tunneling Microscopy of a Luttinger Liquid
• Luttinger liquids with boundaries: Power-laws and energy scales
• Low-Energy Properties of a One-dimensional System of Interacting bosons with Boundaries

Cited by in corpus (19)

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• Imaging gate-tunable Tomonaga-Luttinger liquids in 1H-MoSe${}_2$ mirror twin boundaries
• The 1D interacting Bose gas in a hard wall box
• Spatial ordering of charge and spin in quasi one-dimensional Wigner molecules
• Bosonic continuum theory of one-dimensional lattice anyons
• Spectral function of few electrons in quantum wires and carbon nanotubes as a signature of Wigner localization
• Wigner Crystallization in inhomogeneous one dimensional wires
• Local Spectral Weight of a Luttinger Liquid: Effects from Edges and Impurities
• Local Density of States for Individual Energy Levels in Finite Quantum Wires
• Density profile of interacting Fermions in a one-dimensional optical trap
• Lattice defects and boundaries in conducting carbon nanotubes
• Conducting fixed points for inhomogeneous quantum wires: a conformally invariant boundary theory
• Recursive Method for the Density of States in One Dimension
• Enhancement of tunneling density of states at a Y junction of spin-1/2 Tomonaga Luttinger liquid wires
• Low-energy local density of states of the 1D Hubbard model
• Signatures of spin-charge separation in scanning probe microscopy
• Spin-charge mixing effects on resonant tunneling in a polarized Luttinger Liquid
• Density of states of interacting quantum wires with impurities: a Dyson equation approach
• Bipartite Fidelity and Loschmidt Echo of Bosonic Conformal Interface