Hartree-Fock versus quantum Monte Carlo study of persistent current in a one-dimensional ring with single scatterer

Pavel Vagner, Martin Moško, Radoslav Németh, Lucas Wagner, Lubos Mitas

Research output: Contribution to journalArticlepeer-review

Abstract

We calculate the persistent current of interacting spinless electrons in a one-dimensional ring containing a single δ barrier. We use the self-consistent Hartree-Fock method and the quantum Monte Carlo method which gives fully correlated solutions. Our Hartree-Fock method treats the non-local Fock term in a local approximation and also exactly (if the ring is not too large). Treating the Fock term exactly we attempt to support our previous Hartree-Fock result obtained in the local approximation, in particular the persistent current behaving like I ∝ L- 1 - α, where L is the ring length and α > 0 is the power depending only on the electron-electron interaction. Finally, we use the Hartree-Fock solutions as an input for our quantum Monte Carlo calculation. The Monte Carlo results exhibit only small quantitative differences from the Hartree-Fock results.

Original languageEnglish (US)
Pages (from-to)350-353
Number of pages4
JournalPhysica E: Low-Dimensional Systems and Nanostructures
Volume32
Issue number1-2 SPEC. ISS.
DOIs
StatePublished - May 2006
Externally publishedYes

Keywords

  • Electron-electron interaction
  • Mesoscopic ring
  • One-dimensional transport
  • Persistent current

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics

Fingerprint Dive into the research topics of 'Hartree-Fock versus quantum Monte Carlo study of persistent current in a one-dimensional ring with single scatterer'. Together they form a unique fingerprint.

Cite this