Long-range order in quasi-one-dimensional conductors

Abstract

We study formation of the charge-density wave long-range order in a system of repulsive 1D electrons coupled to 3D phonons. We show that the CDW can be stabilized by interaction with phonons in quasi-1D crystals and semiconducting nanowires. In the case of metallic atomic chains, interaction with phonons of 3D substrate is not enough, and violation of the translational invariance by commensurable perturbation or disorder is needed. The possibility of stabilization of superconductivity in 1D electrons with attraction by means of tunnel coupling to a 3D metal is considered.

10 pages, no figures, references changed, typos corrected

References in corpus (8)

• Wigner Crystal in One Dimension
• Conductance of a quantum wire in the Wigner crystal regime
• One-dimensional conduction in Charge-Density Wave nanowires
• One-Particle an Two-Particle Instability of Coupled Luttinger Liquids
• Dissipation-driven quantum phase transitions in a Tomonaga-Luttinger liquid electrostatically coupled to a metallic gate
• Low-temperature conductivity of quasi-one-dimensional conductors: Luttinger liquid stabilized by impurities
• Impurity-induced stabilization of Luttinger liquid in quasi-one-dimensional conductors
• Bimodal energy relaxations in quasi-one-dimensional systems

Cited by in corpus (6)

• Electronic crystals: an experimental overview
• Magnetic phases in the one-dimensional Kondo chain on a metallic surface
• Dissipation-induced phase transitions in superconducting wires
• Effect of impurity pinning on conduction and specific heat in the Luttinger liquid
• Impurity induced coherent current oscillations in one-dimensional conductors
• Electron and phonon correlations in systems of one-dimensional electrons coupled to phonons