Ground-State Energy of the Electron Liquid in Ultrathin Wires

2002/06/30 by M. M. Fogler, Michael M. Fogler · 3 citations
Physics and Astronomy · #Advanced Chemical Physics Studies #Quantum and electron transport phenomena #Surface and Thin Film Phenomena #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.94.056405

published as Phys. Rev. Lett. 94, 056405 (2005) · (v3) Replaced with the published version. 4 pages, 1 figure

openalex publication_date 2005/02/10 · arxiv created 2005/02/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 a small wire radius but remains numerically accurate even for modestly thin wires.

Cited by

• Carrier-carrier entanglement and transport resonances in semiconductor quantum dots
• Correlation effects in quasi-one-dimensional quantum wires
• Ground-state properties of the one-dimensional electron liquid

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• Theoretical study of interacting electrons in one dimension - ground states and experimental signatures
• Theory of momentum resolved tunneling into a short quantum wire