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 language | English |
|---|---|
| Article number | 103B05 |
| Journal | Progress of Theoretical and Experimental Physics |
| Volume | 2014 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 2014 Jul 2 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
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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 journal › Article
}
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 -