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Volumn 86, Issue 1, 2001, Pages 151-154

Duality in the Azbel-Hofstadter problem and two-dimensional d-wave superconductivity with a magnetic field

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTAL LATTICES; FERMIONS; HAMILTONIANS; MAGNETIC FIELDS; MATHEMATICAL MODELS; QUANTUM THEORY; TOPOLOGY; TWO DIMENSIONAL;

EID: 0035124322     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.86.151     Document Type: Article
Times cited : (21)

References (24)
  • 1
    • 0342803280 scopus 로고    scopus 로고
    • e-print cond-mat/9812063
    • P. W. Anderson, e-print cond-mat/9812063.
    • Anderson, P.W.1
  • 12
  • 13
    • 0001295828 scopus 로고
    • Y. Hatsugai, Phys. Rev. Lett. 71, 3697 (1993); Phys. Rev. B 48, 11851 (1993).
    • (1993) Phys. Rev. B , vol.48 , pp. 11851
  • 17
    • 0342803273 scopus 로고    scopus 로고
    • note
    • y/2) for n = (even, even), (odd, even), (even, odd), and (odd, odd), respectively. It transforms the Hamiltonian for h = Δ/t = 1, φ = p/q into the one for h = +0, (1/2 + p/q). Therefore the duality is exact.
  • 21
    • 0000513009 scopus 로고    scopus 로고
    • Y. Morita and Y. Hatsugai, Phys. Rev. Lett. 79, 3728 (1997); Phys. Rev. B 58, 6680 (1998).
    • (1998) Phys. Rev. B , vol.58 , pp. 6680
  • 22
    • 0342368351 scopus 로고    scopus 로고
    • 2 = 0 must hold for all sites. Since the state is not a null vector, it leads to a contradiction
    • 2 = 0 must hold for all sites. Since the state is not a null vector, it leads to a contradiction.
  • 24


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.