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
Supersymmetry and the Parisi-Sourlas Dimensional Reduction: A Rigorous Proof
TL;DR: In this article, the Parisi-Sourlas dimensional reduction of a supersymmetric field theory to a usual quantum field theory in two fewer dimensions is proven, by reexpressing the functional integrals of a classical field theory as the expectations of a super-SUF theory.
Journal ArticleDOI
Evidence for Supersymmetry in the Random-Field Ising Model at D=5.
TL;DR: This work provides a nontrivial test of supersymmetry in the random-field Ising model at five spatial dimensions, by means of extensive zero-temperature numerical simulations, and shows how to check relationships in a finite-size scaling calculation and perform a high-accuracy test.
Journal ArticleDOI
Random Field Ising Model and Parisi-Sourlas supersymmetry. Part I. Supersymmetric CFT
TL;DR: The second half of the Parisi-Sourlas conjecture has been examined in this article, while the first half (existence of a supersymmetric fixed point) will be examined in a companion work.
Journal ArticleDOI
Room temperature crystal structure and relaxor ferroelectric behavior of Pb0.5Ca0.5TiO3
Rajeev Ranjan,Neelam Singh,Dhananjai Pandey,Vasudeva Siruguri,P. S. R. Krishna,S K Paranjpe,Alok Banerjee +6 more
TL;DR: In this paper, superlattice reflections observed for the first time in the room temperature powder neutron diffraction patterns of (Pb0.5Ca 0.5)TiO3 (PCT50) are shown to arise due to an orthorhombic distortion (space group Pbnm) resulting from tilted TiO6 octahedra and off-center location of Pb2+/Ca2+.
Journal ArticleDOI
Phase Transitions and Disorder Effects in Pure and Doped Frustrated Quantum Antiferromagnet Cs2CuBr4
Toshio Ono,Hidekazu Tanaka,Takamitsu Nakagomi,Oleksandr Kolomiyets,Hiroyuki Mitamura,Fumihiro Ishikawa,Tsuneaki Goto,Kenji Nakajima,Akira Oosawa,Y. Koike,Kazuhisa Kakurai,Jens Klenke,Peter Smeibidle,Michael Meißner,Hiroko Aruga Katori +14 more
TL;DR: In this article, an S = 1/2 quasi-two-dimensional frustrated antiferromagnet with a distorted triangular lattice parallel to the b c -plane undergoes magnetic ordering at T N = 1.4 K at zero magnetic field.
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