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
Citations
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Journal ArticleDOI
On spin systems with quenched randomness: Classical and quantum
TL;DR: In this paper, the rounding of first-order phase transitions by quenched randomness is stated in a form which is applicable to both classical and quantum systems: the free energy, as well as the ground state energy, of a spin system on a d-dimensional lattice is continuously differentiable with respect to any parameter in the Hamiltonian to which some randomness has been added when d ≤ 2.
Journal ArticleDOI
Random-field effects in Mn0.45Zn0.55F2: magnetisation and specific heat measurements
TL;DR: In this article, the phase transition and critical behaviour of the site-diluted three-dimensional antiferromagnet Mn0.45Zn0.55F2 have been studied using magnetisation and specific heat measurements.
Journal ArticleDOI
On the critical dynamics of disordered spin systems
TL;DR: In this paper, the shape functions for the inelastic scattering of neutrons as a function of the energy loss and momentum transfer are calculated for the critical region above Tc of disordered spin systems.
Book ChapterDOI
Progress and Problems in Real-Space Renormalization
TL;DR: The real-space renormalization approach to statistical mechanics is reviewed in this article, with a brief account of progress in the field and some fundamental difficulties with the approach are discussed, in particular the proliferation of interactions, the ambiguity in the choice of the weight function, and the peculiarities in the thermodynamic limit.
Journal ArticleDOI
Odd-frequency pair density wave correlations in underdoped cuprates
TL;DR: In this article, the authors show that the coexistence of charge density waves and uniform superconductivity in cuprates, generates an odd-frequency spin-singlet pair density wave, in addition to the even-frequency counterparts.
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