Wigner crystal in one dimension
- 20 September 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 71 (12), 1864-1867
- https://doi.org/10.1103/physrevlett.71.1864
Abstract
A one-dimensional gas of electrons interacting with long-range Coulomb forces [V(r)≊1/r] is investigated. The excitation spectrum consists of separate collective charge and spin modes. For arbitrarily weak Coulomb repulsion density correlations at wave vector 4 decay extremely slowly and are best described as those of a one-dimensional Wigner crystal. Pinning of the Wigner crystal then leads to the nonlinear transport properties characteristic of charge density waves. The results allow a consistent interpretation of the plasmon and spin excitations observed in one-dimensional semiconductor structures, and suggest an interpretation of some of the observed features in terms of ‘‘spinons.’’
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This publication has 16 references indexed in Scilit:
- One-dimensional plasmon dispersion and dispersionless intersubband excitations in GaAs quantum wiresPhysical Review Letters, 1991
- Elementary excitation spectrum of one-dimensional electron systems in confined semiconductor structures: Zero magnetic fieldPhysical Review B, 1991
- Correlation exponents and the metal-insulator transition in the one-dimensional Hubbard modelPhysical Review Letters, 1990
- Analytical results for semiconductor quantum-well wire: Plasmons, shallow impurity states, and mobilityPhysical Review B, 1990
- Long-range Coulomb interactions in quasi-one-dimensional conductorsJournal of Physics C: Solid State Physics, 1983
- 'Luttinger liquid theory' of one-dimensional quantum fluids. I. Properties of the Luttinger model and their extension to the general 1D interacting spinless Fermi gasJournal of Physics C: Solid State Physics, 1981
- The Fermi gas model of one-dimensional conductorsAdvances in Physics, 1979
- Dynamics of the charge-density wave. I. Impurity pinning in a single chainPhysical Review B, 1978
- Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One DimensionPhysical Review Letters, 1968
- On the Interaction of Electrons in MetalsPhysical Review B, 1934