Ground-state energy of the electron liquid in ultrathin wires

Abstract

The ground-state energy and the density correlation function of the electron liquid in a thin one-dimensional wire are computed. The calculation is based on an approximate mapping of the problem with a realistic Coulomb interaction law onto exactly solvable models of mathematical physics. This approach becomes asymptotically exact in the limit of small wire radius but remains numerically accurate even for modestly thin wires.

arXiv comment(v3) Replaced with the published version. 4 pages, 1 figure

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• Wigner Crystal in One Dimension
• High-Performance Carbon Nanotube Transistors on SrTiO3/Si Substrates
• Variational quantum Monte Carlo study of two-dimensional Wigner crystals: exchange, correlation, and magnetic field effects
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• High-density correlation energy expansion of the one-dimensional uniform electron gas
• Uniform Electron Gases. II. The Generalized Local Density Approximation in One Dimension
• Generalized local-density approximation and one-dimensional finite uniform electron gases
• Accurate ground-state energies of Wigner crystals from a simple real-space approach
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• A simple variational method for calculating energy and quantum capacitance of an electron gas with screened interactions
• Spin resolved energy parametrization of a quasi-one-dimensional electron gas
• Phase lapses in scattering through multi-electron quantum dots: Mean-field and few-particle regimes
• Dependence of structure factor and correlation energy on the width of electron wires
• One-dimensional electron fluid at high density
• On demand entanglement in double quantum dots via coherent carrier scattering
• Band-Gap-Dependent Electronic Compressibility of Carbon Nanotubes in the Wigner Crystal Regime
• Harmonically trapped jellium
• Exact ground-state properties of one-dimensional electron gas at high density
• Symmetry-broken local-density approximation for one-dimensional systems
• Excited-State Wigner Crystals in One Dimension
• Correlations in interacting electron liquids: Many-body statistics and hyperuniformity
• Correlation effects in the capacitance of a gated carbon nanotube
• Mechanical Strain can Switch the Sign of Quantum Capacitance from Positive to Negative
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• Entanglement creation in semiconductor quantum dot charge qubit