Soft Modes, Localization, and Two-Level Systems in Spin Glasses
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2015
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American Physical Society
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Abstract
In the three-dimensional Heisenberg spin glass in a random field, we study the properties of the inherent structures that are obtained by an instantaneous cooling from infinite temperature. For a not too large field the density of states g(ω) develops localized soft plastic modes and reaches zero as ω^4 (for large fields a gap appears). When we perturb the system adding a force along the softest mode, one reaches very similar minima of the energy, separated by small barriers, that appear to be good candidates for classical two-level systems.
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© 2015 American Physical Society (APS).
We were supported by the European Research Council under the European Unions Seventh Framework Programme (FP7/2007-2013, ERC Grant Agreement No. 247328). We were partially supported by MINECO, Spain, through the research contract No. FIS2012-35719-C02. This work was partially supported by the GDRE 224 CNRS-INdAM GREFI-MEFI. M. B.-J. was supported by the FPU program (Ministerio de Educación, Spain). The authors thankfully acknowledge the resources from the supercomputer “Memento,” and the technical expertise and assistance provided by BIFI-ZCAM (Universidad de Zaragoza).