Hofstadter problem in higher dimensions

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We investigate some generalizations of the Hofstadter problem to higher dimensions with Abelian and non-Abelian gauge field configurations. We numerically show the hierarchical structure in the energy spectra with several lattice models. We also point out the equivalence between the \pi-flux state and the staggered formalism of the Dirac fermion.

Original languageEnglish
Article number103B05
JournalProgress of Theoretical and Experimental Physics
Volume2014
Issue number10
DOIs
Publication statusPublished - 2014 Jul 2
Externally publishedYes

Fingerprint

equivalence
energy spectra
fermions
formalism
configurations

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Hofstadter problem in higher dimensions. / Kimura, Taro.

In: Progress of Theoretical and Experimental Physics, Vol. 2014, No. 10, 103B05, 02.07.2014.

Research output: Contribution to journalArticle

@article{c9cd2c7bc4c54cde86c8b9d71fe107fc,
title = "Hofstadter problem in higher dimensions",
abstract = "We investigate some generalizations of the Hofstadter problem to higher dimensions with Abelian and non-Abelian gauge field configurations. We numerically show the hierarchical structure in the energy spectra with several lattice models. We also point out the equivalence between the \pi-flux state and the staggered formalism of the Dirac fermion.",
author = "Taro Kimura",
year = "2014",
month = "7",
day = "2",
doi = "10.1093/ptep/ptu144",
language = "English",
volume = "2014",
journal = "Progress of Theoretical and Experimental Physics",
issn = "2050-3911",
publisher = "Oxford University Press",
number = "10",

}

TY - JOUR

T1 - Hofstadter problem in higher dimensions

AU - Kimura, Taro

PY - 2014/7/2

Y1 - 2014/7/2

N2 - We investigate some generalizations of the Hofstadter problem to higher dimensions with Abelian and non-Abelian gauge field configurations. We numerically show the hierarchical structure in the energy spectra with several lattice models. We also point out the equivalence between the \pi-flux state and the staggered formalism of the Dirac fermion.

AB - We investigate some generalizations of the Hofstadter problem to higher dimensions with Abelian and non-Abelian gauge field configurations. We numerically show the hierarchical structure in the energy spectra with several lattice models. We also point out the equivalence between the \pi-flux state and the staggered formalism of the Dirac fermion.

UR - http://www.scopus.com/inward/record.url?scp=84928919865&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84928919865&partnerID=8YFLogxK

U2 - 10.1093/ptep/ptu144

DO - 10.1093/ptep/ptu144

M3 - Article

AN - SCOPUS:84928919865

VL - 2014

JO - Progress of Theoretical and Experimental Physics

JF - Progress of Theoretical and Experimental Physics

SN - 2050-3911

IS - 10

M1 - 103B05

ER -