## 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 language | English (US) |
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Pages (from-to) | 350-353 |

Number of pages | 4 |

Journal | Physica E: Low-Dimensional Systems and Nanostructures |

Volume | 32 |

Issue number | 1-2 SPEC. ISS. |

DOIs | |

State | Published - May 2006 |

Externally published | Yes |

## 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