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In an extensive computational experiment, we test Polyakov's conjecture that under certain circumstances an isotropic Heisenberg model can develop algebraic spin correlations. We demonstrate the emergence of a multi-spin $\text{U(1)}$ order…

强关联电子 · 物理学 2015-10-23 Bhilahari Jeevanesan , Premala Chandra , Piers Coleman , Peter P. Orth

We study the $T=0$ phase diagrams of models of bilayers of $S=1/2$ square lattices antiferromagnets with SU(2) Heisenberg symmetry that have 2, 4, and 6 spin exchanges. We study two families of bilayer models with distinct internal…

强关联电子 · 物理学 2026-03-11 Fan Zhang , Nisheeta Desai , Wenan Guo , Ribhu K. Kaul

We present extensive Monte Carlo simulations for a classical antiferromagnetic Heisenberg model with both nearest ($J_1$) and next-nearest ($J_2$) exchange couplings on the square lattice coupled to the lattice degrees of freedom. The…

强关联电子 · 物理学 2009-11-11 Cedric Weber , Federico Becca , Frederic Mila

The Ising model with nearest-neighbor interactions on a two-dimensional (2D) square lattice is one of the simplest models for studying ferro-magnetic to para-magnetic transitions. Extensive results are available in the literature for this…

计算物理 · 物理学 2024-09-18 C. Marin , A. Fontana , V. Bellani , F. Pederiva , A. Quaranta , F. Rossella , A. Salamon , G. Salina

A 3D Ising model with a purely plaquette, 4-spin interaction displays a planar flip symmetry intermediate between a global and a gauge symmetry and as a consequence has a highly degenerate low temperature phase and no standard magnetic…

统计力学 · 物理学 2012-09-25 D. A. Johnston

Magnetic and electronic properties of a Kondo lattice model with Ising localized spins are studied on an isotropic triangular lattice. By using Monte Carlo simulation, we present that the model shows a rich phase diagram with four dominant…

强关联电子 · 物理学 2013-05-03 Hiroaki Ishizuka , Yukitoshi Motome

We study an anisotropic Heisenberg antiferromagnet with ferromagnetic transverse spin exchange using exact quantum Monte Carlo methods. Such a model is relevant to a class of rare earth tetraboride materials that display a range of…

强关联电子 · 物理学 2013-10-02 Keola Wierschem , Pinaki Sengupta

We study the ground-state phase diagram of a one-dimensional spin-1/2 easy-plane XXZ model with a ferromagnetic nearest-neighbor (NN) coupling $J_1$ and a competing next-nearest-neighbor (NNN) antiferromagnetic coupling $J_2$ in the…

强关联电子 · 物理学 2010-03-30 Shunsuke Furukawa , Masahiro Sato , Akira Furusaki

We investigate theoretically the phase diagram of a classical Heisenberg antiferromagnet on the pyrochlore lattice perturbed by a weak second-neighbor interaction J_2. The huge ground state degeneracy of the nearest-neighbor Heisenberg…

强关联电子 · 物理学 2009-07-17 Gia-Wei Chern , R. Moessner , O. Tchernyshyov

We study the nature of a low-temperature phase in the frustrated honeycomb-lattice Ising model with first- and second-neighbor antiferromagnetic (AF) interactions, $J_1$ and $J_2$, respectively, for $R = J_2/J_1 > 1/4$. It is known that for…

统计力学 · 物理学 2020-07-08 M. Žukovič , M. Borovský , A. Bobák , T. Balcerzak , K. Szałowski

We study classical Ising spin-$\frac{1}{2}$ models on the 2D square lattice with ferromagnetic or antiferromagnetic nearest-neighbor interactions, under the effect of a pure imaginary magnetic field. The complex Boltzmann weights of spin…

统计力学 · 物理学 2023-06-27 Roman Krčmár , Andrej Gendiar , Ladislav Šamaj

We carry out large-scale, sign-problem-free determinant quantum Monte Carlo simulations of the square lattice $\mathrm{SU}(N)$-symmetric two-channel Kondo lattice model at half-filling. We map out the zero-temperature phase diagram for $N =…

强关联电子 · 物理学 2025-09-17 Elyasaf Y. Cohen , Fakher F. Assaad , Snir Gazit

Experiments in the antiferromagnetic phase of a quasi 2D $S=1/2$ quasi-square lattice antiferromagnet Cu(pz)2(ClO4)2 reveal a biaxial type of the anisotropy, instead of the easy-plane one, considered before. The weak in-plane anisotropy,…

强关联电子 · 物理学 2013-06-12 K. Yu. Povarov , A. I. Smirnov , C. P. Landee

We use the coupled cluster method (CCM) to study the ground-state properties and lowest-lying triplet excited state of the spin-half {\it XXZ} antiferromagnet on the square lattice. The CCM is applied to it to high orders of approximation…

One of the signatures of the face-centered cubic (fcc) antiferromagnet as a typical example of a geometrically frustrated system is the large ground state degeneracy of the classical nearest neighbor and next-nearest neighbor Heisenberg…

强关联电子 · 物理学 2022-05-04 Seydou-Samba Diop , George Jackeli , Lucile Savary

The anisotropic s=1/2 anti-ferromagnetic Heisenberg chain in the presence of an external magnetic field is studied by using the standard quantum renormalization group. We obtain the critical line of the transition from partially magnetized…

强关联电子 · 物理学 2009-10-31 A. Langari

Using the coupled-cluster method for infinite lattices and the exact diagonalization method for finite lattices, we study the influence of an exchange anisotropy Delta on the ground-state phase diagram of the spin-1/2 frustrated J1-J2 XXZ…

强关联电子 · 物理学 2009-02-18 R. Darradi , J. Richter , J. Schulenburg , R. F. Bishop , P. H. Y. Li

Spin-singlet orders are studied for the antiferromagnetic Heisenberg model with spin $S$>1/2 on a breathing pyrochlore lattice, where tetrahedron units are weakly coupled and exchange constants have two values $0<J' \ll J$. The ground state…

强关联电子 · 物理学 2017-02-16 Hirokazu Tsunetsugu

We study the $\pm J$ three-dimensional Ising model with a spatially uniaxially anisotropic bond randomness on the simple cubic lattice. The $\pm J$ random exchange is applied in the $xy$ planes, whereas in the z direction only a…

统计力学 · 物理学 2015-06-11 T. Papakonstantinou , A. Malakis

We consider the effect of quantum spin fluctuations on the ground state properties of the Heisenberg antiferromagnet on an anisotropic triangular lattice using linear spin-wave theory. This model should describe the magnetic properties of…

强关联电子 · 物理学 2009-10-31 J. Merino , Ross H. McKenzie , J. B. Marston , C. H. Chung