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Ordering of the Heisenberg spin glass with the nearest-neighbor Gaussian coupling is investigated by equilibrium Monte Carlo simulations in four and five dimensions. Ordering of the mean-field Heisenberg spin-glass is also studied for…

Disordered Systems and Neural Networks · Physics 2009-11-07 Daisuke Imagawa , Hikaru Kawamura

The nature of the ordering of the three-dimensional isotropic Heisenberg spin glass with nearest-neighbor random Gaussian coupling is studied by extensive Monte Carlo simulations. Several independent physical quantities are measured both…

Disordered Systems and Neural Networks · Physics 2013-05-29 Dao Xuan Viet , Hikaru Kawamura

The spin and the chirality orderings of the Heisenberg spin glass in two dimensions with the nearest-neighbor Gaussian coupling are investigated by equilibrium Monte Carlo simulations. Particular attention is paid to the behavior of the…

Disordered Systems and Neural Networks · Physics 2009-11-10 Hikaru Kawamura , Hitoshi Yonehara

The ordering of the three-dimensional isotropic {\it XY} spin glass with the nearest-neighbor random Gaussian coupling is studied by extensive Monte Carlo simulations. To investigate the ordering of the spin and the chirality, we compute…

Disordered Systems and Neural Networks · Physics 2013-06-03 Tomoyuki Obuchi , Hikaru Kawamura

The ordering of the one-dimensional Heisenberg spin glass interacting via the long-range power-law interaction is studied by Monte Carlo simulations. Particular attention is paid to the possible occurrence of the ``spin-chirality…

Disordered Systems and Neural Networks · Physics 2015-06-25 Akihiro Matsuda , Mitsuru Nakamura , Hikaru Kawamura

Ordering of the three-dimensional Heisenberg spin glass with Gaussian coupling is studied by extensive Monte Carlo simulations. The model undergoes successive chiral-glass and spin-glass transitions at nonzero temperatures T_{CG} > T_{SG} >…

Disordered Systems and Neural Networks · Physics 2012-01-27 Dao Xuan Viet , Hikaru Kawamura

Spin and chirality orderings of the three-dimensional Heisenberg spin glass are studied under magnetic fields in light of the recently developed spin-chirality decoupling-recoupling scenario. It is found by Monte Carlo simulations that the…

Disordered Systems and Neural Networks · Physics 2009-11-07 Hikaru Kawamura , Daisuke Imagawa

The nature of the ordering of the one-dimensional Heisenberg spin-glass model with a long-range power-law interaction is studied by extensive Monte Carlo simulations, with particular attention to the issue of the spin-chirality…

Disordered Systems and Neural Networks · Physics 2010-10-13 Dao Xuan Viet , Hikaru Kawamura

Extensive equilibrium Monte Carlo simulations are performed for a three-dimensional Heisenberg spin glass with the nearest-neighbor Gaussian coupling to investigate its spin-glass and chiral-glass orderings. The occurrence of a…

Disordered Systems and Neural Networks · Physics 2009-10-31 K. Hukushima , H. Kawamura

We study the issue of the spin-chirality decoupling/coupling in the ordering of the Heisenberg spin glass by performing large-scale Monte Carlo simulations on a one-dimensional Heisenberg spin-glass model with a long-range power-law…

Disordered Systems and Neural Networks · Physics 2010-09-21 Dao Xuan Viet , Hikaru Kawamura

Spin and chirality orderings of the three-dimensional Heisenberg spin glass under magnetic fields are studied by large-scale equilibrium Monte Carlo simulations. It is found that the chiral-glass transition and the chiral-glass ordered…

Disordered Systems and Neural Networks · Physics 2009-11-07 Daisuke Imagawa , Hikaru Kawamura

The chiral glass behaviour of the nearest-neighbour random-bond XY spin glass in four dimensions is studied by Monte Carlo simulations. A chiral glass transition at $T_{cg}=0.90\pm 0.05$ is found by a finite-size scaling analysis of the…

Disordered Systems and Neural Networks · Physics 2016-08-31 S. Jain

Recent studies on the spin and the chirality orderings of the three-dimensional Heisenberg spin glass and related systems are reviewed with particular emphasis on the possible spin-chirality decoupling phenomena. Chirality scenario of real…

Disordered Systems and Neural Networks · Physics 2009-11-11 Hikaru Kawamura

The spin and the chirality orderings of the three-dimensional Heisenberg spin glass with the weak random anisotropy are studied under applied magnetic fields by equilibrium Monte Carlo simulations. A replica symmetry breaking transition…

Disordered Systems and Neural Networks · Physics 2009-11-10 Daisuke Imagawa , Hikaru Kawamura

The ordering of the three-dimensional Heisenberg spin glass with the weak random anisotropy in magnetic fields is studied by extensive equilibrium Monte Carlo simulations. Both the spin and the chirality are monitored. We find strong…

Disordered Systems and Neural Networks · Physics 2009-11-10 Daisuke Imagawa , Hikaru Kawamura

Spin-glass and chiral-glass orderings of a three-dimensional isotropic Heisenberg spin glass are studied both by equilibrium and off-equilibrium Monte Carlo simulations with emphasis on their dynamical aspects. The model is found to exhibit…

Disordered Systems and Neural Networks · Physics 2007-05-23 H. Kawamura , K. Hukushima

Spin and chirality orderings of a three-dimensional XY spin glass are studied by extensive Monte Carlo simulations. By calculating an appropriately defined spin-overlap distribution function, we show that the finite-temperature chiral-glass…

Disordered Systems and Neural Networks · Physics 2009-11-07 Hikaru Kawamura , Mai Suan Li

An extensive equilibrium Monte Carlo simulation is performed on the 3D isotropic Heisenberg SG model with the random nearest-neighbor Gaussian coupling, with particular interest in its chiral-glass (CG) and spin-glass (SG) orderings. For…

Disordered Systems and Neural Networks · Physics 2020-01-29 Takumi Ogawa , Kazuki Uematsu , Hikaru Kawamura

Spin-glass and chiral-glass orderings in three-dimensional Heisenberg spin glasses are studied both by equilibrium and off-equilibrium Monte Carlo simulations. Fully isotropic model is found to exhibit a finite-temperature chiral-glass…

Disordered Systems and Neural Networks · Physics 2009-10-31 H. Kawamura , K. Hukushima

Nematic ordering, where the spins globally align along a spontaneously chosen axis irrespective of direction, occurs in spin-glass systems of classical Heisenberg spins in d=3. In this system where the nearest-neighbor interactions are…

Disordered Systems and Neural Networks · Physics 2025-02-18 Egemen Tunca , A. Nihat Berker
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