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Volumn 327, Issue 11, 2012, Pages 2865-2884

Singularities, swallowtails and Dirac points. An analysis for families of Hamiltonians and applications to wire networks, especially the Gyroid

Author keywords

Dirac points; Dispersion relation; Double Gyroid; Singularities; Swallowtail; Torus cover

Indexed keywords


EID: 84865404447     PISSN: 00034916     EISSN: 1096035X     Source Type: Journal    
DOI: 10.1016/j.aop.2012.08.001     Document Type: Article
Times cited : (15)

References (15)
  • 1
    • 84865422450 scopus 로고    scopus 로고
    • The geometry of the double gyroid wire network: quantum and classical, J. Noncommut. Geom. (in press).
    • R.M. Kaufmann, S. Khlebnikov, B. Wehefritz-Kaufmann, The geometry of the double gyroid wire network: quantum and classical, J. Noncommut. Geom. (in press). arxiv:1010.1709.
    • Kaufmann, R.M.1    Khlebnikov, S.2    Wehefritz-Kaufmann, B.3
  • 5
    • 84865418333 scopus 로고
    • Séminaire Bourbaki, 26e Année, Vol. 1973/1974 Exp. No. 443
    • Springer, Berlin
    • Demazure M. Séminaire Bourbaki, 26e Année, Vol. 1973/1974 Exp. No. 443. Lect. Notes Math. 1975, vol. 431:124-142. Springer, Berlin.
    • (1975) Lect. Notes Math. , vol.431 , pp. 124-142
    • Demazure, M.1
  • 8
    • 84865440116 scopus 로고    scopus 로고
    • Methods for graph Hamiltonians and applications to the Gyroid wire network II: re-gauging groupoid, symmetries and degeneracies DESY preprint 12-133
    • R.M. Kaufmann, S. Khlebnikov, B. Wehefritz-Kaufmann, Methods for graph Hamiltonians and applications to the Gyroid wire network II: re-gauging groupoid, symmetries and degeneracies (DESY preprint 12-133, ). arxiv:1208.3266.
    • Kaufmann, R.M.1    Khlebnikov, S.2    Wehefritz-Kaufmann, B.3
  • 10
    • 0003252211 scopus 로고
    • Morse Theory
    • Princeton University Press, Princeton, NJ
    • Milnor J. Morse Theory. Annals of Mathematics Studies 1963, vol. 51. Princeton University Press, Princeton, NJ.
    • (1963) Annals of Mathematics Studies , vol.51
    • Milnor, J.1
  • 13
    • 84865442437 scopus 로고    scopus 로고
    • Topologically stable Dirac points in a three-dimensional supercrystal (in preparation).
    • R.M. Kaufmann, S. Khlebnikov, B. Wehefritz-Kaufmann, Topologically stable Dirac points in a three-dimensional supercrystal (in preparation).
    • Kaufmann, R.M.1    Khlebnikov, S.2    Wehefritz-Kaufmann, B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.