Solvable Model of a Spin-Glass

By D. Sherrington, S. Kirkpatrick. 1975

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Citations in the corpus

Community detection in graphs (2009, background): “Here 〈k〉 = ∫ P(k)kdk and U0 is the ground state energy of the Sherrington-Kirkpatrick model [235].”
The Thermodynamic Limit in Mean Field Spin Glass Models (2002, methodology): “ar X iv :c on d- m at /0 20 42 80 We present a simple strategy in order to show the existence and uniqueness of the infinite volume limit of thermodynamic quantities, for a large class of mean field disordered models, as for example the Sherrington-Kirkpatrick model, and the Derrida p-spin model.”
Towards a general theory of adaptive walks on rugged landscapes. (1987, background): “Spin glasses derive from condensed matter physics and are models of disordered magnetic materials, where two adjacent spins might prefer to orient in the same direction, or might instead prefer to orient in the opposite direction (Sherrington & Kirkpatrick, 1975).”
Colloquium : Many-body localization, thermalization, and entanglement (2018, background): “For instance, infinite-ranged interactions where the distribution of Jij is independent of i, j lead to the Sherrington-Kirkpatrick model (Sherrington and Kirkpatrick, 1975).”
Edwards Statistical Mechanics for Jammed Granular Matter (2016, methodology): “This test can be done for the 1-SF metastable state in the exactly solvable Sherrington-Kirkpatrick (SK) spin-glass model (Sherrington and Kirkpatrick, 1975), which is the canonical mean field model of spin glasses.”
Statistical physics of inference: thresholds and algorithms (2015, methodology): “Kirkpatrick [215] has been particularly important.”
The Parisi formula for mixed $p$-spin models (2011, methodology): “The formula for the free energy in the Sherrington–Kirkpatrick model [22] was famously discovered by G.”
Quantum annealing for industry applications: introduction and review (2021, unknown): “In the context of perturbed problem Hamiltonians, Ven-turelli et al [180] compared QA and simulated thermal annealing to measure the effects of disorder in ground state distributions on the Sherrington–Kirkpatrick model (SKM) with couplings randomized from a bimodal distribution of values ± 1 [162].”
The parisi formula (2006, methodology): “The Hamiltonian of the Sherrington-Kirkpatrick (SK) model for spin glasses [10] is given at inverse temperature β by HN (σ) = − β √ N ∑”
Neuronal couplings between retinal ganglion cells inferred by efficient inverse statistical physics methods (2009, methodology): “Couplings may also scale as 1/ √ N when they are random variables with zero mean, as in the SherringtonKirkpatrick model for the study of the spin-glass phase [16, 18].”
Direct observation of magnetic monopole defects in an artificial spin-ice system (2010, methodology): “and frustrated magnetism has evolved into a deeply interdisciplinary field, providing model systems for complex biological problems and a mathematical basis for the neural network algorithm from the Sherrington–Kirkpatrick mode”