The Berry-Tabor conjecture for spin chains of Haldane-Shastry type

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dc.creatorBarba, J. C.
dc.creatorFinkel, F.
dc.creatorGonzalez-Lopez, A.
dc.creatorRodriguez, M. A.
dc.date2008-04-23
dc.date.accessioned2026-07-07T11:50:09Z
dc.date.available2026-07-07T11:50:09Z
dc.descriptionAccording to a long-standing conjecture of Berry and Tabor, the distribution of the spacings between consecutive levels of a "generic'' integrable model should follow Poisson's law. In contrast, the spacings distribution of chaotic systems typically follows Wigner's law. An important exception to the Berry-Tabor conjecture is the integrable spin chain with long-range interactions introduced by Haldane and Shastry in 1988, whose spacings distribution is neither Poissonian nor of Wigner's type. In this letter we argue that the cumulative spacings distribution of this chain should follow the "square root of a logarithm'' law recently proposed by us as a characteristic feature of all spin chains of Haldane-Shastry type. We also show in detail that the latter law is valid for the rational counterpart of the Haldane-Shastry chain introduced by Polychronakos.
dc.descriptionLaTeX with revtex4, 6 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/0804.3685
dc.identifierhttp://arxiv.org/abs/0804.3685
dc.identifierEurophys.Lett.83:27005,2008
dc.identifierdoi:10.1209/0295-5075/83/27005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203471
dc.subjectHigh Energy Physics - Theory
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.titleThe Berry-Tabor conjecture for spin chains of Haldane-Shastry type
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