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Volumn 50, Issue 14, 1994, Pages 10048-10062

Exact spectra, spin susceptibilities, and order parameter of the quantum Heisenberg antiferromagnet on the triangular lattice

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EID: 11544255063     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.50.10048     Document Type: Article
Times cited : (418)

References (58)
  • 50
    • 84931535794 scopus 로고    scopus 로고
    • Examination of this problem of normalization has been underestimated in previous studies (Refs. protect, Ref. 27, and protect, Ref. 32). Because of an erroneous normalization, most of the weight of the extrapolation procedure has been carried on unphysical numbers larger than the saturation value of the fully aligned classical Néel state. This essentially explains the difference in the conclusions of the previous authors and ourselves as regards the question of order of the THA. Deutscher and Everts have been faced with the same kind of difficulty in their recent work on the J1 J2 Hamiltonian on the triangular lattice (Ref. 51); by studying the behavior of the system when J2/J1 → -∞ they arrive at the same kind of renormalization to order 1/N as ours. The above line of reasoning is probably more general.
  • 53
    • 84931535793 scopus 로고    scopus 로고
    • Definitions and comparison of order parameters in symmetry breaking solutions (spin wave approximation) and symmetry nonbreaking one (exact diagonalizations) have given birth to many studies (Refs., Ref. 35, Ref. 54, Ref. 55, Ref. 56, Ref. 57). In this work, we take care to compare two parameters that are normalized to 1 in the absence of fluctuations and should be equal in the thermodynamic limit. The problem of the symmetry breaking will be studied in a forthcoming paper.
  • 57
    • 84951599513 scopus 로고
    • Long-wavelength excitations and the Goldstone theorem in many-particle systems with ?broken symmetries?
    • (1966) Z. Phys. B , vol.195 , pp. 273
    • Wagner, H.1
  • 58
    • 84931535792 scopus 로고    scopus 로고
    • We should mention that the first exhibition of such a structure of low lying levels invoked by Anderson in his seminal paper of 1952 appears in a paper by Gross, Sanchez Velasco, and Siggia (Ref. protect, Ref. 34) that regrettably escaped our vigilance in our preliminary report of 1992; indeed most of the theoretical hints were present in the first paper of this series.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.