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We revisit critical phenomena in isotropic ferromagnets with strong dipolar interactions. The corresponding RG fixed point - dipolar fixed point - was first studied in 1973 by Aharony and Fisher. It is distinct from the Heisenberg fixed…

高能物理 - 理论 · 物理学 2025-11-20 Aleix Gimenez-Grau , Yu Nakayama , Slava Rychkov

The critical properties of the antiferromagnetic Heisenberg model on the three-dimensional stacked-triangular lattice are studied by means of a large-scale Monte Carlo simulation in order to get insight into the controversial issue of the…

强关联电子 · 物理学 2020-01-08 Yoshihiro Nagano , Kazuki Uematsu , Hikaru Kawamura

A dipolar fixed point introduced by Aharony and Fisher is a physical example of interacting scale-invariant but non-conformal field theories. We find that the perturbative critical exponents computed in $\epsilon$ expansions violate the…

高能物理 - 理论 · 物理学 2023-09-28 Yu Nakayama

We compute the critical exponents of three-dimensional magnets with strong dipole-dipole interactions using the functional renormalization group (FRG) within the local potential approximation including the wave function renormalization…

统计力学 · 物理学 2026-05-15 Georgii Kalagov , Nikita Lebedev

In Phys. Rev. Lett. 84, 4204 (2000) (cond-mat/9905379), Kato et al. presented quantum Monte Carlo results indicating that the critical concentration of random non-magnetic sites in the two-dimensional antiferromagnetic Heisenberg model…

强关联电子 · 物理学 2009-10-31 Anders W. Sandvik

We have simulated the three-dimensional Heisenberg model on simple cubic lattices, using the single-cluster Monte Carlo update algorithm. The expected pronounced reduction of critical slowing down at the phase transition is verified. This…

高能物理 - 格点 · 物理学 2009-10-22 Christian Holm , Wolfhard Janke

The results of a detailed histogram Monte-Carlo study of critical-fluctuation effects on the magnetic-field temperature phase diagram associated with the hexagonal Heisenberg antiferromagnet with weak axial anisotropy are reported. The…

凝聚态物理 · 物理学 2009-10-22 A. Mailhot , M. L. Plumer , A. Caillé

We report measurements of the critical exponents of the classical three-dimensional Heisenberg model on simple cubic lattices of size $L^3$ with $L$ = 12, 16, 20, 24, 32, 40, and 48. The data was obtained from a few long single-cluster…

高能物理 - 格点 · 物理学 2009-10-22 C. Holm , W. Janke

We study the ferromagnetic phase transition in a randomly layered Heisenberg model. A recent strong-disorder renormalization group approach [Phys. Rev. B 81, 144407 (2010)] predicted that the critical point in this system is of exotic…

强关联电子 · 物理学 2012-09-10 Fawaz Hrahsheh , Hatem Barghathi , Priyanka Mohan , Rajesh Narayanan , Thomas Vojta

We use single-cluster Monte Carlo simulations to study the role of topological defects in the three-dimensional classical Heisenberg model on simple cubic lattices of size up to $80^3$. By applying reweighting techniques to time series…

高能物理 - 格点 · 物理学 2009-10-22 Christian Holm , Wolfhard Janke

We have simulated the classical Heisenberg antiferromagnet on a triangular lattice using a local Monte Carlo algorithm. The behavior of the correlation length $\xi$, the susceptibility at the ordering wavevector $\chi(\bf Q)$, and the spin…

凝聚态物理 · 物理学 2009-10-28 M. Wintel , H. U. Everts , W. Apel

Using a collective-mode Monte Carlo method (the Wolff-Swendsen-Wang algorithm), we compute the spin-stiffness of the two-dimensional classical Heisenberg model. We show that it is the relevant physical quantity to investigate the behaviour…

凝聚态物理 · 物理学 2009-10-22 Michel Caffarel , Patrick Azaria , Bertrand Delamotte , Dominique Mouhanna

In a recent letter, R.G. Brown and M. Ciftan (Phys. Rev. Lett. 76, 1352, 1996) reported high precision Monte Carlo (MC) estimates of the static critical exponents of the classical 3D Heisenberg model, which stand in sharp contrast to values…

高能物理 - 格点 · 物理学 2009-10-28 Christian Holm , Wolfhard Janke

By considering the appropriate finite-size effect, we explain the connection between Monte Carlo simulations of two-dimensional anisotropic Heisenberg antiferromagnet in a field and the early renormalization group calculation for the…

统计力学 · 物理学 2009-11-11 Chenggang Zhou , D. P. Landau , Thomas C. Schulthess

In our previous publication we have mistakenly claimed that the applicability of the Hellmann-Feynman theorem in fixed-node quantum Monte Carlo calculations is not subject to the manner how the nodal boundary depends on an external…

材料科学 · 物理学 2009-10-31 F. Schautz , H. -J. Flad

We study the 2D static spin-pseudospin model equivalent to the dilute frustrated antiferromagnetic Ising model with charge impurities. We present the results of classical Monte Carlo simulation on a square lattice with periodic boundary…

统计力学 · 物理学 2021-09-23 D. N. Yasinskaya , V. A. Ulitko , A. A. Chikov , Yu. D. Panov

We study the phase diagram of a quasi-two dimensional magnetic system ${\rm Rb_2MnF_4}$ with Monte Carlo simulations of a classical Heisenberg spin Hamiltonian which includes the dipolar interactions between ${\rm Mn}^{2+}$ spins. Our…

统计力学 · 物理学 2009-11-13 Chenggang Zhou , D. P. Landau , T. C. Schulthess

When the ground state of a localized ion is a non-Kramers doublet, such localized ions may carry multipolar moments. For example, Pr$^{3+}$ ions in a cubic environment would possess quadrupolar and octupolar, but no magnetic dipole,…

强关联电子 · 物理学 2020-10-30 Adarsh S. Patri , Yong Baek Kim

Ground-state magnetic properties of the diluted Heisenberg antiferromagnet on a square lattice are investigated by means of the quantum Monte Carlo method with the continuous-time loop algorithm. It is found that the critical concentration…

无序系统与神经网络 · 物理学 2009-10-31 K. Kato , S. Todo , K. Harada , N. Kawashima , S. Miyashita , H. Takayama

Nearest-neighbor Heisenberg antiferromagnet on a face-centered cubic lattice is studied by extensive Monte Carlo simulations in zero magnetic field. The parallel tempering algorithm is utilized, which allows to overcome a slow relaxation of…

统计力学 · 物理学 2007-05-23 M. V. Gvozdikova , M. E. Zhitomirsky
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