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We present results of extensive quantum Monte Carlo simulations of the three-dimensional (3D) S=1/2 Heisenberg antiferromagnet. Finite-size scaling of the spin stiffness and the sublattice magnetization gives the critical temperature Tc/J =…

Statistical Mechanics · Physics 2009-10-31 A. W. Sandvik

The critical behavior of the Ising model on a fractal lattice, which has the Hausdorff dimension $\log_{4} 12 \approx 1.792$, is investigated using a modified higher-order tensor renormalization group algorithm supplemented with automatic…

Statistical Mechanics · Physics 2023-03-22 Jozef Genzor

Magnetization and specific heat measurements on a UIrSi3 single crystal reveal Ising-like antiferromagnetism below T$_N$ = 41.7 K with easy magnetization direction along the c-axis of tetragonal structure. The antiferromagentic ordering is…

We report a comparative neutron single crystal diffraction study of the structural and magnetic properties of layered halides CrCl$_3$ and $\alpha$-RuCl$_3$, which host a honeycomb arrangement of transition metal ions with distinct…

Strongly Correlated Electrons · Physics 2026-05-13 Zachary Morgan , Iris Ye , Jiasen Guo , Michael A McGuire , Jiaqiang Yan

Frustrated magnetic compounds, in particular low-dimensional, are topical research due to persistent uncover of novel nontrivial quantum states and potential applications. The problem of this field is that many important results are…

Disordered Systems and Neural Networks · Physics 2019-08-22 V. E. Valiulin , A. V. Mikheyenkov , N. M. Chtchelkatchev , A. F. Barabanov

Ordering of the geometrically frustrated two-dimensional Heisenberg antiferromagnet on a pyrochlore slab is studied by Monte Carlo simulations. The model is expected to serve as a reference system of SrCrGaO compound studied extensively. In…

Statistical Mechanics · Physics 2015-06-24 Takuya Arimori , Hikaru Kawamura

The $S=1/2$, nearest-neighbor, quantum Heisenberg antiferromagnet on the square lattice with spatially anisotropic couplings is reconsidered, with particular attention to the following question: at T=0, does N\'eel orderdevelop at…

Condensed Matter · Physics 2011-01-06 Ian Affleck , Martin P. Gelfand , Rajiv R. P. Singh

Recent experiments on a one-dimensional chain of trapped alkali atoms [arXiv:1707.04344] have observed a quantum transition associated with the onset of period-3 ordering of pumped Rydberg states. This spontaneous $\mathbb{Z}_3$ symmetry…

Strongly Correlated Electrons · Physics 2018-08-14 Rhine Samajdar , Soonwon Choi , Hannes Pichler , Mikhail D. Lukin , Subir Sachdev

Quasicrystals (QCs) lack three-dimensional periodicity of atomic arrangement but possess long-range structural order, which are distinct from periodic crystals and random systems. Here, we show how the ferromagnetic (FM) order arises in the…

Strongly Correlated Electrons · Physics 2025-10-30 Shinji Watanabe , Tsunetomo Yamada , Hiroyuki Takakura , Nobuhisa Fujita

It is shown that the observed anisotropy of magnetization at high magnetic fields in RbMnBr3 , a quasi-one-dimensional antiferromagnet on a distorted stacked triangular lattice, is due to quantum and thermal fluctuations. These fluctuations…

Condensed Matter · Physics 2009-10-22 A. G. Abanov , O. A. Petrenko

We study spatial anisotropy effects on the bulk and finite-size critical behavior of the O$(n)$ symmetric anisotropic $\phi^4$ lattice model with periodic boundary conditions in a $d$-dimensional hypercubic geometry above, at and below…

Statistical Mechanics · Physics 2009-11-13 Volker Dohm

Phase transitions in isotropic quantum antiferromagnets are described by an O(3) nonlinear quantum field theory. In three dimensions, the fundamental property of this theory is logarithmic scaling of the coupling constant. At the quantum…

Strongly Correlated Electrons · Physics 2015-12-09 Harley Scammell , Oleg Sushkov

We numerically investigate the stationary and non-equilibrium critical dynamics in three-dimensional isotropic Heisenberg antiferromagnets. Since the non-conserved staggered magnetization couples dynamically to the conserved magnetization…

Statistical Mechanics · Physics 2019-02-27 Riya Nandi , Uwe C. Täuber

Monte Carlo and spin dynamics simulations have been used to study the dynamic critical behavior of RbMnF$_3$, treated as a classical Heisenberg antiferromagnet on a simple cubic lattice. In an attempt to understand the difference in the…

Condensed Matter · Physics 2009-11-10 Shan-Ho Tsai , D. P. Landau

Specific heat and ac magnetic susceptibility measurements, spanning low temperatures ($T \geq 40$ mK) and high magnetic fields ($B \leq 14$ T), have been performed on a two-dimensional (2D) antiferromagnet Cu(tn)Cl$_{2}$ (tn =…

The three-dimensional quenched random bond diluted $(J_1-J_2)$ quantum Heisenberg antiferromagnet is studied on a simple-cubic lattice. Using extensive stochastic series expansion quantum Monte Carlo simulations, we perform very long runs…

Statistical Mechanics · Physics 2020-08-05 U. Kanbur , E. Vatansever , H. Polat

In this work we present a theoretical investigation into an antiferromagnetically coupled spin system, specifically ${\rm Cu}_{3}-X$ ($\mathrm{X=As,Sb}$), which exhibits an isosceles triangular configuration or slightly distorted…

Strongly Correlated Electrons · Physics 2025-04-25 G. A. Antonio , J. Torrico , A. S. da Mata , S. M. de Souza , Onofre Rojas

We present the ground state properties of a new quantum antiferromagnet YbBO$_3$ in which the isotropic Yb$^{3+}$ triangular layers are separated by a non-magnetic layer of partially occupied B and O(2) sites. The magnetization and heat…

Strongly Correlated Electrons · Physics 2022-10-19 K. Somesh , S. S. Islam , S. Mohanty , G. Simutis , Z. Guguchia , Ch. Wang , J. Sichelschmidt , M. Baenitz , R. Nath

Recent studies have brought $\alpha$-RuCl$_3$ to the forefront of experimental searches for materials realizing Kitaev spin-liquid physics. This material exhibits strongly anisotropic exchange interactions afforded by the spin-orbit…

Strongly Correlated Electrons · Physics 2018-02-21 Stephen M. Winter , Kira Riedl , David Kaib , Radu Coldea , Roser Valenti

We analyze the effects of chemical pressure induced by alkali metal substitution and uniaxial strain on magnetism in the A2Cr3As3 (A = Na, K, Rb, Cs) family of ternary arsenides with quasi-one dimensional structure. Within the framework of…

Strongly Correlated Electrons · Physics 2021-06-04 Giuseppe Cuono , Filomena Forte , Alfonso Romano , Xing Ming , Jianlin Luo , Carmine Autieri , Canio Noce