Electron pairs in the ground states of chain structures

E. Kovács, Z. Gulácsi

Research output: Contribution to journalArticle

Abstract

We analyze a diamond chain containing itinerant electrons interacting via local on-site Coulomb interaction by a method based on positive semidefinite operators. The constant external magnetic field is taken into account by Peierls phase factor terms in the kinetic energy part of the Hamiltonian. We deduced exact ground states containing linear and bilinear combinations of fermionic creation operators acting on the vacuum state for arbitrary strong Hubbard repulsion. Physically, the linear solutions can be nonmagnetic and ferromagnetic, while the bilinear solutions, which mean electron-pairs, can only be non-magnetic.

Original languageEnglish
Pages (from-to)1781-1785
Number of pages5
JournalJournal of Superconductivity and Novel Magnetism
Volume26
Issue number5
DOIs
Publication statusPublished - 2013

Fingerprint

Ground state
Hamiltonians
operators
Diamond
ground state
Electrons
Coulomb interactions
Kinetic energy
Diamonds
electrons
kinetic energy
diamonds
Vacuum
Magnetic fields
vacuum
magnetic fields
interactions

Keywords

  • Ferromagnetism
  • Hubbard model
  • Nanowires
  • Strongly interacting systems

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Electron pairs in the ground states of chain structures. / Kovács, E.; Gulácsi, Z.

In: Journal of Superconductivity and Novel Magnetism, Vol. 26, No. 5, 2013, p. 1781-1785.

Research output: Contribution to journalArticle

@article{ca665d0e23634110943b155eae7b9932,
title = "Electron pairs in the ground states of chain structures",
abstract = "We analyze a diamond chain containing itinerant electrons interacting via local on-site Coulomb interaction by a method based on positive semidefinite operators. The constant external magnetic field is taken into account by Peierls phase factor terms in the kinetic energy part of the Hamiltonian. We deduced exact ground states containing linear and bilinear combinations of fermionic creation operators acting on the vacuum state for arbitrary strong Hubbard repulsion. Physically, the linear solutions can be nonmagnetic and ferromagnetic, while the bilinear solutions, which mean electron-pairs, can only be non-magnetic.",
keywords = "Ferromagnetism, Hubbard model, Nanowires, Strongly interacting systems",
author = "E. Kov{\'a}cs and Z. Gul{\'a}csi",
year = "2013",
doi = "10.1007/s10948-012-2028-9",
language = "English",
volume = "26",
pages = "1781--1785",
journal = "Journal of Superconductivity and Novel Magnetism",
issn = "1557-1939",
publisher = "Springer New York",
number = "5",

}

TY - JOUR

T1 - Electron pairs in the ground states of chain structures

AU - Kovács, E.

AU - Gulácsi, Z.

PY - 2013

Y1 - 2013

N2 - We analyze a diamond chain containing itinerant electrons interacting via local on-site Coulomb interaction by a method based on positive semidefinite operators. The constant external magnetic field is taken into account by Peierls phase factor terms in the kinetic energy part of the Hamiltonian. We deduced exact ground states containing linear and bilinear combinations of fermionic creation operators acting on the vacuum state for arbitrary strong Hubbard repulsion. Physically, the linear solutions can be nonmagnetic and ferromagnetic, while the bilinear solutions, which mean electron-pairs, can only be non-magnetic.

AB - We analyze a diamond chain containing itinerant electrons interacting via local on-site Coulomb interaction by a method based on positive semidefinite operators. The constant external magnetic field is taken into account by Peierls phase factor terms in the kinetic energy part of the Hamiltonian. We deduced exact ground states containing linear and bilinear combinations of fermionic creation operators acting on the vacuum state for arbitrary strong Hubbard repulsion. Physically, the linear solutions can be nonmagnetic and ferromagnetic, while the bilinear solutions, which mean electron-pairs, can only be non-magnetic.

KW - Ferromagnetism

KW - Hubbard model

KW - Nanowires

KW - Strongly interacting systems

UR - http://www.scopus.com/inward/record.url?scp=84959232525&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84959232525&partnerID=8YFLogxK

U2 - 10.1007/s10948-012-2028-9

DO - 10.1007/s10948-012-2028-9

M3 - Article

AN - SCOPUS:84959232525

VL - 26

SP - 1781

EP - 1785

JO - Journal of Superconductivity and Novel Magnetism

JF - Journal of Superconductivity and Novel Magnetism

SN - 1557-1939

IS - 5

ER -