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• W2413314178 abstract "An Ising spin-glass model with nearest-neighbor interactions, following a symmetric probability distribution, is investigated on a hierarchical lattice of the Wheatstone-bridge family characterized by a fractal dimension $Densuremath{approx}3.58$. The interaction distribution considered is a stretched exponential, which has been shown recently to be very close to the fixed-point coupling distribution, and such a model has been considered lately as a good approach for Ising spin glasses on a cubic lattice. An exact recursion procedure is implemented for calculating site magnetizations, ${m}_{i}={ensuremath{langle}{S}_{i}ensuremath{rangle}}_{T}$, as well as correlations between pairs of nearest-neighbor spins, ${ensuremath{langle}{S}_{i}{S}_{j}ensuremath{rangle}}_{T}$ (${ensuremath{langle}phantom{rule{0.16em}{0ex}}ensuremath{rangle}}_{T}$ denote thermal averages), for a given set of interaction couplings on this lattice. From these local magnetizations and correlations, one can compute important physical quantities, such as the Edwards-Anderson order parameter, the internal energy, and the specific heat. Considering extrapolations to the thermodynamic limit for the order parameter, such as a finite-size scaling approach, it is possible to obtain directly the critical temperature and critical exponents. The transition between the spin-glass and paramagnetic phases is analyzed, and the associated critical exponents $ensuremath{beta}$ and $ensuremath{nu}$ are estimated as $ensuremath{beta}=0.82(5)$ and $ensuremath{nu}=2.50(4)$, which are in good agreement with the most recent results from extensive numerical simulations on a cubic lattice. Since these critical exponents were obtained from a fixed-point distribution, they are universal, i.e., valid for any coupling distribution considered." @default.
• W2413314178 created "2016-06-24" @default.
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• W2413314178 creator A5090095371 @default.
• W2413314178 date "2015-08-03" @default.
• W2413314178 modified "2023-10-17" @default.
• W2413314178 title "Critical properties of short-range Ising spin glasses on a Wheatstone-bridge hierarchical lattice" @default.
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• W2413314178 doi "https://doi.org/10.1103/physreve.92.022102" @default.
• W2413314178 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/26382339" @default.
• W2413314178 hasPublicationYear "2015" @default.
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