Wigner Crystallization in inhomogeneous one dimensional wires
arXiv:cond-mat/0410773 · doi:10.1103/PhysRevB.72.075322
Abstract
We explore the theory of electrons confined by one dimensional power law potentials. We calculate the density profile in the high density electron gas, the low density Wigner crystal, and the intermediate regime. We extract the momentum space wavefunction of the electron at the Fermi surface, which can be measured in experiments on tunneling between parallel wires. The onset of localization leads to a dramatic broadening of the momentum space wavefunction together with pronounced sharpening (in energy) of the tunneling spectrum.
11 pages, 10 figures, RevTeX4: v2. Revised+Expanded
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Cited by in corpus (20)
- Exact quantum Monte Carlo study of one dimensional trapped fermions with attractive contact interactions
- Ground state properties of the one dimensional Coulomb gas
- Wigner crystal vs. Friedel oscillations in the 1D Hubbard model
- AFM probe for the signatures of Wigner correlations in the conductance of a one-dimensional quantum dot
- Localization in an Inhomogeneous Quantum Wire
- Correlation effects in quasi one dimensional electron wires
- Spectral function of few electrons in quantum wires and carbon nanotubes as a signature of Wigner localization
- Absence of Wigner molecules in one-dimensional few-fermion systems with short-range interactions
- Temperature-induced emergence of Wigner correlations in a STM-probed one-dimensional quantum dot
- Theory of the STM detection of Wigner molecules in spin incoherent CNTs
- 2kF-Friedel to 4kF-Wigner oscillations in one-dimensional Fermi gases under confinement
- Density profile of interacting Fermions in a one-dimensional optical trap
- Phase diagram of a quantum Coulomb wire
- Spin-orbit-enhanced Wigner localization in quantum dots
- Density-functional theory of inhomogeneous electron systems in thin quantum wires
- Positive and Negative Drag, Dynamic Phases, and Commensurability in Coupled One-Dimensional Channels of Particles with Yukawa Interactions
- Effects of interedge scattering on the Wigner crystallization in graphene nanoribbons
- Probing Wigner correlations in a suspended carbon nanotube
- Interaction and temperature effects on the pair correlation function of a strongly interacting 1D quantum dot
- Hartree-Fock calculations of a finite inhomogeneous quantum wire