English

Perfect Metal Phases of One-Dimensional and Anisotropic Higher-Dimensional Systems

Strongly Correlated Electrons 2014-12-10 v2 High Energy Physics - Theory

Abstract

We show that a 1D quantum wire with 2323 channels of interacting fermions has a perfect metal phase in which all weak perturbations that could destabilize this phase are irrelevant. Consequently, weak disorder does not localize it, a weak periodic potential does not open a gap, and contact with a superconductor also fails to open a gap. Similar phases occur for N24N \geq 24 channels of fermions, except for N=25N=25, and for 8k8k channels of interacting bosons, with k3k\geq 3. Arrays of perfect metallic wires form higher-dimensional fermionic or bosonic perfect metals, albeit highly-anisotropic ones.

Keywords

Cite

@article{arxiv.1404.4367,
  title  = {Perfect Metal Phases of One-Dimensional and Anisotropic Higher-Dimensional Systems},
  author = {Eugeniu Plamadeala and Michael Mulligan and Chetan Nayak},
  journal= {arXiv preprint arXiv:1404.4367},
  year   = {2014}
}

Comments

6 pages. Supplementary information: large matrices in a Mathematica notebook and in 12 text files