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Multicritical Point on the de Almeida-Thouless Line in Spin Glasses in d>6 Dimensions

Moore, M A ; Read, N

Physical review letters, 2018-03, Vol.120 (13), p.130602-130602, Article 130602 [Periódico revisado por pares]

United States: American Physical Society

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  • Título:
    Multicritical Point on the de Almeida-Thouless Line in Spin Glasses in d>6 Dimensions
  • Autor: Moore, M A ; Read, N
  • Assuntos: Critical point ; Exponents ; Ising model ; Magnetic fields ; Magnetic properties ; Perturbation theory ; Spin glasses
  • É parte de: Physical review letters, 2018-03, Vol.120 (13), p.130602-130602, Article 130602
  • Notas: ObjectType-Article-1
    SourceType-Scholarly Journals-1
    ObjectType-Feature-2
    content type line 23
  • Descrição: The de Almeida-Thouless (AT) line in Ising spin glasses is the phase boundary in the temperature T and magnetic field h plane below which replica symmetry is broken. Using perturbative renormalization group (RG) methods, we show that, when the dimension d of space is just above six, there is a multicritical point (MCP) on the AT line, which separates a low-field regime, in which the critical exponents have mean-field values, from a high-field regime, where the RG flows run away to infinite coupling strength; as d approaches six from above, the MCP approaches the zero-field critical point exponentially in 1/(d-6). Thus, on the AT line, perturbation theory for the critical properties breaks down at a sufficiently large magnetic field even above 6 dimensions, as well as for all nonzero fields when d≤6, as was known previously. We calculate the exponents at the MCP to first order in ϵ=d-6>0. The fate of the MCP as d increases from just above six to infinity is not known.
  • Editor: United States: American Physical Society
  • Idioma: Inglês
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