Journal ArticleDOI
Random-Field Instability of the Ordered State of Continuous Symmetry
Yoseph Imry,Shang-keng Ma +1 more
TLDR
In this article, it was shown that when the order parameter has a continuous symmetry, the ordered state is unstable against an arbitrarily weak random field in less than four dimensions and the borderline dimensionality above which mean-field-theory results hold is six.Abstract:
Phase transitions are considered in systems where the field conjugate to the order parameter is static and random. It is demonstrated that when the order parameter has a continuous symmetry, the ordered state is unstable against an arbitrarily weak random field in less than four dimensions. The borderline dimensionality above which mean-field-theory results hold is six. (auth)read more
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Journal ArticleDOI
Renormalizing the renormalization group pathologies
TL;DR: In this paper, the authors review the status of the pathologies encountered when one tries to define rigorously the Renormalization Group transformation as a map between Hamiltonians and explain their origin and clarify their status by relating them to the Griffiths' singularities appearing in disordered systems.
Journal ArticleDOI
Dimensionality shift by three due to random fields in quantum spin systems
TL;DR: In this paper, the critical properties of d-dimensional zero-temperature quantum-mechanical spin models are studied in the presence of random fields, and shown to be the same as those of the zero random field case in (d-3) dimensions.
Journal ArticleDOI
Antiferromagnets with Random Anisotropy. Influence of the Dimensionality
J. Richter,Ralph Skomski +1 more
TL;DR: In this paper, the influence of a small random anisotropy on the ground-state properties of a classical antiferromagnet with an easy z-axis in two, three, and four dimensions is discussed.
Journal ArticleDOI
Imaging uncompensated moments and exchange-biased emergent ferromagnetism in FeRh thin films
Isaiah Gray,Gregory M. Stiehl,John T. Heron,Antonio B. Mei,Darrell G. Schlom,Ramamoorthy Ramesh,Daniel C. Ralph,Gregory D. Fuchs +7 more
TL;DR: In this article, the authors used magneto-thermal microscopy to image uncompensated moments in thin films of FeRh, a room-temperature antiferromagnet that exhibits a 1st-order phase transition to a ferromagnetic state near 100~$^\circ$C.
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