Exact ferromagnetic ground state of pentagon chains

Miklós Gulácsi, György Kovács, Z. Gulácsi

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

We model conducting pentagon chains with a multi-orbital Hubbard model and prove that well below half filling, exact ferromagnetic ground states appear. The rigorous method we use is based on the transformation of original hamiltonian into positive semidefinite form. This technique is independent of the spatial dimension and does not require integrability of the model. The obtained ferromagnetism is connected to dispersionless bands but in a much broader sense than flat-band ferromagnetism requires, where on every site a Hubbard term is present. In our case, only a small percentage of, even randomly distributed, sites are only interacting.

Original languageEnglish
Pages (from-to)269-277
Number of pages9
JournalPhilosophical Magazine Letters
Volume94
Issue number5
DOIs
Publication statusPublished - May 4 2014

Fingerprint

ferromagnetism
ground state
conduction
orbitals

Keywords

  • conducting polymers
  • exact ground states
  • ferromagnetism
  • strongly correlated electron systems

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Exact ferromagnetic ground state of pentagon chains. / Gulácsi, Miklós; Kovács, György; Gulácsi, Z.

In: Philosophical Magazine Letters, Vol. 94, No. 5, 04.05.2014, p. 269-277.

Research output: Contribution to journalArticle

Gulácsi, Miklós ; Kovács, György ; Gulácsi, Z. / Exact ferromagnetic ground state of pentagon chains. In: Philosophical Magazine Letters. 2014 ; Vol. 94, No. 5. pp. 269-277.
@article{21f06f1e1ac7439aa13cc7407dc21f53,
title = "Exact ferromagnetic ground state of pentagon chains",
abstract = "We model conducting pentagon chains with a multi-orbital Hubbard model and prove that well below half filling, exact ferromagnetic ground states appear. The rigorous method we use is based on the transformation of original hamiltonian into positive semidefinite form. This technique is independent of the spatial dimension and does not require integrability of the model. The obtained ferromagnetism is connected to dispersionless bands but in a much broader sense than flat-band ferromagnetism requires, where on every site a Hubbard term is present. In our case, only a small percentage of, even randomly distributed, sites are only interacting.",
keywords = "conducting polymers, exact ground states, ferromagnetism, strongly correlated electron systems",
author = "Mikl{\'o}s Gul{\'a}csi and Gy{\"o}rgy Kov{\'a}cs and Z. Gul{\'a}csi",
year = "2014",
month = "5",
day = "4",
doi = "10.1080/09500839.2014.895873",
language = "English",
volume = "94",
pages = "269--277",
journal = "Philosophical Magazine Letters",
issn = "0950-0839",
publisher = "Taylor and Francis Ltd.",
number = "5",

}

TY - JOUR

T1 - Exact ferromagnetic ground state of pentagon chains

AU - Gulácsi, Miklós

AU - Kovács, György

AU - Gulácsi, Z.

PY - 2014/5/4

Y1 - 2014/5/4

N2 - We model conducting pentagon chains with a multi-orbital Hubbard model and prove that well below half filling, exact ferromagnetic ground states appear. The rigorous method we use is based on the transformation of original hamiltonian into positive semidefinite form. This technique is independent of the spatial dimension and does not require integrability of the model. The obtained ferromagnetism is connected to dispersionless bands but in a much broader sense than flat-band ferromagnetism requires, where on every site a Hubbard term is present. In our case, only a small percentage of, even randomly distributed, sites are only interacting.

AB - We model conducting pentagon chains with a multi-orbital Hubbard model and prove that well below half filling, exact ferromagnetic ground states appear. The rigorous method we use is based on the transformation of original hamiltonian into positive semidefinite form. This technique is independent of the spatial dimension and does not require integrability of the model. The obtained ferromagnetism is connected to dispersionless bands but in a much broader sense than flat-band ferromagnetism requires, where on every site a Hubbard term is present. In our case, only a small percentage of, even randomly distributed, sites are only interacting.

KW - conducting polymers

KW - exact ground states

KW - ferromagnetism

KW - strongly correlated electron systems

UR - http://www.scopus.com/inward/record.url?scp=84922226434&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84922226434&partnerID=8YFLogxK

U2 - 10.1080/09500839.2014.895873

DO - 10.1080/09500839.2014.895873

M3 - Article

VL - 94

SP - 269

EP - 277

JO - Philosophical Magazine Letters

JF - Philosophical Magazine Letters

SN - 0950-0839

IS - 5

ER -