Spin-Peierls instabilities of antiferromagnetic rings in a magnetic field

Physical Review B - Condensed Matter and Materials Physics

Volumn 79, Issue 18, 2009, Pages

  Lante, Valeria ^a,b   Rousochatzakis, Ioannis ^b   Penc, Karlo ^c   Waldmann, Oliver ^d   Mila, Frédéric ^b  

^a UNIVERSITY OF INSUBRIA   (Italy)

^b EPFL   (Switzerland)

^c WIGNER RESEARCH CENTRE FOR PHYSICS   (Hungary)

^d UNIVERSITY OF FREIBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 67649126852     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.79.180412     Document Type: Article

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22. Since CN N/2 Vb =Vb for N/2 even or odd, Vb contains representations with n=1,3,...,N-1 for N/2 even, and n=0,2,...,N-2 for N/2 odd. Thus a k=π momentum transfer necessary for the level mixing will first appear in (N/2) th order in d and only for N/2 even.
23. Here the mirror operation stands for a reflection through the xz plane followed by the time reversal operation T.
24. For CsFe8, we have checked numerically that the off-diagonal coupling vj between the lowest levels at the jth LC field grows with j. For instance, at θ=-3.3°, v/d (0.1565,0.2858, 0.4291) at the lowest three LC fields Bc (0.734,1.145, 1.6373), while at θ=93.6°, v/d (0.9251,1.6327,2.3154) at the corresponding fields Bc (0.485,1.052,1.598). For a spin- s tetramer, vj =j j 8 (2j+1) [(4s+1) 2 - j2] dsinθ.
25. For instance, for the second and the third LC fields at θ=-3.3°, lowest order perturbation theory predicts dmax (0.0045, 0.0067) to be compared with the corresponding values (0.0117 and 0.0159) (cf. Fig. 4).