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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Spin Glasses - Criticality and Energy Landscapes (Hardcover, 1st ed. 2016)
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Spin Glasses - Criticality and Energy Landscapes (Hardcover, 1st ed. 2016)
Series: Springer Theses
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This thesis addresses the surprising features of zero-temperature
statics and dynamics of several spin glass models, including
correlations between soft spins that arise spontaneously during
avalanches, and the discovery of localized states that involve the
presence of two-level systems. It also presents the only detailed
historiographical research on the spin glass theory. Despite the
extreme simplicity of their definition, spin glasses display a wide
variety of non-trivial behaviors that are not yet fully understood.
In this thesis the author sheds light on some of these, focusing on
both the search for phase transitions under perturbations of
Hamiltonians and the zero-temperature properties and responses to
external stimuli. After introducing spin glasses and useful
concepts on phase transitions and numerics, the results of two
massive Monte Carlo campaigns on three-dimensional systems are
presented: The first of these examines the de Almeida-Thouless
transition, and proposes a new finite-size scaling ansatz, which
accelerates the convergence to the thermodynamic limit. The second
reconstructs the phase diagram of the Heisenberg spin glass with
random exchange anisotropy.
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