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The lattice spin model with $Q$--component discrete spin variables restricted to have orientations orthogonal to the faces of $Q$-dimensional hypercube is considered on the Bethe lattice, the recursive graph which contains no cycles. The…

Statistical Mechanics · Physics 2015-06-25 V. R. Ohanyan , L. N. Ananikyan , N. S. Ananikian

The phase diagram of the multiple-spin exchange model on the triangular lattice is studied using exact diagonalizations. The two-spin (J_2) and four-spin (J_4) exchanges have been taken into account for 12, 16, 19, 21, 24, and 27 site…

Strongly Correlated Electrons · Physics 2009-10-31 Weyls LiMing , Gregoire Misguich , Philippe Sindzingre , Claire Lhuillier

We study a spin system with two- and four-spin exchange interactions on the triangular lattice, which is a possible model for the nuclear magnetism of solid $^3$He layers. It is found that a novel spin structure with scalar chiral order…

Condensed Matter · Physics 2009-10-30 Tsutomu Momoi , Kenn Kubo , Koji Niki

We theoretically study the stability of the solidified second-layer 3He at 4/7 of the first-layer density adsorbed on graphite, which exhibits quantum spin liquid. We construct a lattice model for the second-layer 3He by taking account of…

Strongly Correlated Electrons · Physics 2009-02-25 Shinji Watanabe , Masatoshi Imada

We study triangular lattice spin-1/2 system with antiferromagnetic Heisenberg and ring exchanges using variational approach focusing on possible realization of spin liquid states. Trial spin liquid wave functions are obtained by Gutzwiller…

Strongly Correlated Electrons · Physics 2009-11-10 Olexei I. Motrunich

We study a two-species bosonic Hubbard model on a two-dimensional square lattice by means of quantum Monte Carlo simulations and focus on finite temperature effects. We show in two different cases, ferro- and antiferromagnetic spin-spin…

Quantum Gases · Physics 2012-05-31 L. de Forges de Parny , F. Hébert , V. G. Rousseau , G. G. Batrouni

We study a spin-1/2 system with Heisenberg plus ring exchanges on a four-leg triangular ladder using the density matrix renormalization group and Gutzwiller variational wave functions. Near an isotropic lattice regime, for moderate to large…

Strongly Correlated Electrons · Physics 2011-05-20 Matthew S. Block , D. N. Sheng , Olexei I. Motrunich , Matthew P. A. Fisher

Multiplex networks consist of a fixed set of nodes connected by several sets of edges which are generated separately and correspond to different networks ("layers"). Here, the Ising model on multiplex networks with two layers is considered,…

Statistical Mechanics · Physics 2017-03-10 Andrzej Krawiecki

A quasi 2-dimensional recursive lattice formed by planar elements have been designed to investigate the surface thermodynamics of Ising spin glass system with the aim to study the metastability of supercooled liquids and the ideal glass…

Statistical Mechanics · Physics 2015-02-24 Ran Huang , Purushottam D. Gujrati

The Ising approximation of the Heisenberg model in a strong magnetic field, with two-, and three-spin exchange interactions are studied on a Husimi lattice. This model can be considered as an approximation of the third layer of 3He absorbed…

Statistical Mechanics · Physics 2011-02-15 N. Ananikian , V. Hovhannisyan , H. Lazaryan

We investigate equilibrium properties of an exchange-spring magnetic system constituted of a soft layer (e.g. Fe) of a given thickness on top of a hard magnetic layer (e.g. FePt). The magnetization profile M(z) as a function of the atomic…

Materials Science · Physics 2010-10-05 N. Sousa , A. Apolinario , P. M. S. Monteiro , F. Casoli , F. Albertini , F. Vernay , H. Kachkachi , D. S. Schmool

We study in this paper the Blume-Emery-Griffiths model in a thin film of stacked triangular lattices.The model is described by three parameters: bilinear exchange interaction between spins $J$, quadratic exchange interaction $K$ and…

Statistical Mechanics · Physics 2016-04-20 Sahbi El Hog , H. T. Diep

We investigate the effect of ring-exchange on the ground-state properties and magnetic excitations of the $S = 1/2$ Heisenberg model on the anisotropic triangular lattice with ring-exchange at $T = 0$ using linear spin-wave theory.…

Strongly Correlated Electrons · Physics 2014-05-15 Michael Holt , Ben J. Powell , Jaime Merino

We study the magnetization process in two-dimensional S=1/2 spin systems, to discuss the appearance of a plateau structure. The following three cases are considered: (1) the Heisenberg antiferromagnet and multiple-spin exchange model on the…

Strongly Correlated Electrons · Physics 2009-10-31 Tsutomu Momoi , Keisuke Totsuka

Rare earth triangular lattice materials have been proposed as a good platform for the investigation of frustrated magnetic ground states. KErSe$_2$ with the delafossite structure, contains perfect two-dimensional Er$^{3+}$ triangular layers…

We present the zero-temperature phase diagram of a square lattice quantum spin 1/2 XY model with four-site ring exchange in a uniform external magnetic field. Using quantum Monte Carlo techniques, we identify various quantum phase…

Strongly Correlated Electrons · Physics 2009-11-10 R. G. Melko , A. W. Sandvik , D. J. Scalapino

We provide evidence for a finite temperature ferromagnetic transition in 2-dimensions as $H \to 0$ in thin films of $^3$He on graphite, a model system for the study of two-dimensional magnetism. We perform pulsed and CW NMR experiments at…

Condensed Matter · Physics 2009-11-07 H. M. Bozler , Yuan Gu , Jinshan Zhang , K. S. White , C. M. Gould

Phase transitions of the mixed spin-1/2 and spin-S (S >= 1/2) Ising model on a three-dimensional (3D) decorated lattice with a layered magnetic structure are investigated within the framework of a precise mapping relationship to the simple…

Statistical Mechanics · Physics 2009-11-13 Jozef Strecka , Jan Dely , Lucia Canova

Employing large-scale quantum Monte Carlo simulations, we study the extended $XXZ$ model on the kagome lattice. A $\mathbb Z_2$ quantum spin liquid phase with effective even Ising gauge field structure emerges from the delicate balance…

Strongly Correlated Electrons · Physics 2018-08-06 Yan-Cheng Wang , Xue-Feng Zhang , Frank Pollmann , Meng Cheng , Zi Yang Meng

We introduce a simple model of SO($N$) spins with two-site interactions which is amenable to quantum Monte-Carlo studies without a sign problem on non-bipartite lattices. We present numerical results for this model on the two-dimensional…

Strongly Correlated Electrons · Physics 2015-11-19 Ribhu K. Kaul