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Soft Modes, Localization, and Two-Level Systems in Spin Glasses Baity Jesi, Marco Martín Mayor, Víctor Parisi, G. Pérez Gaviro, S. 53 Physics Multidisciplinary Física (Física) 22 Física © 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). 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. Unión Europea. FP7 Ministerio de Economía y Competitividad (MINECO) Istituto Nazionale di Alta Matematica "F. Severi" (INdAM), Italia Centre national de la recherche scientifique (CNRS), Francia GREFI-MEFI (Gruppo di Ricerca Europeo Franco-Italiano: Fisica e Matematica) Programa de Formación de Profesorado Universitario (FPU), MEC Ministerio de Educación y Ciencia (MEC), España Depto. de Física Teórica Fac. de Ciencias Físicas TRUE pub 2023-06-18T06:49:56Z 2023-06-18T06:49:56Z 2015-12-23 journal article https://hdl.handle.net/20.500.14352/24341 0031-9007 10.1103/PhysRevLett.115.267205 eng CRIPHERASY (247328) FIS2012-35719-C02 GDRE 224 open access application/pdf American Physical Society