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The anisotropic quantum spin-1/2 XY model on a linear chain was solved by Lieb, Schultz, and Mattis in 1961 and shown to display a continuous quantum phase transition at the O(2) symmetric point separating two gapped phases with competing…

强关联电子 · 物理学 2025-03-05 Christopher Mudry , Ömer M. Aksoy , Claudio Chamon , Akira Furusaki

The phase diagram of the XXZ spin-1 quantum magnet on the kagome lattice is studied for all cases where the $J_z$ coupling is antiferromagnetic. In the zero magnetic field case, the six previously introduced phases, found using various…

强关联电子 · 物理学 2009-11-13 Cenke Xu , Joel E. Moore

We study the phase diagram and multicritical behavior of anisotropic Heisenberg antiferromagnets on a square lattice in the presence of a magnetic field along the easy axis. We argue that, beside the Ising and XY critical lines, the phase…

统计力学 · 物理学 2009-11-13 Andrea Pelissetto , Ettore Vicari

A relation between geometric phases and criticality of spin chains is established. As a result, we show how geometric phases can be exploited as a tool to detect regions of criticality without having to undergo a quantum phase transition.…

介观与纳米尺度物理 · 物理学 2007-05-23 Angelo C. M. Carollo , Jiannis K. Pachos

Using mean-field theory and high resolution Monte Carlo simulation technique based on multi-histogram method, we have investigated the critical properties of an antiferromagnetic XY model on the 2D Kagom\'e lattice, with single ion…

强关联电子 · 物理学 2008-06-17 Farhad Shahbazi , Saba Mortezapour

We consider quantum Heisenberg ferro- and antiferromagnets on the square lattice with exchange anisotropy of easy-plane or easy-axis type. The thermodynamics and the critical behaviour of the models are studied by the pure-quantum…

统计力学 · 物理学 2015-06-24 A. Cuccoli , T. Roscilde , V. Tognetti , R. Vaia , P. Verrucchi

We apply a recently developed functional renormalization group (fRG) scheme for quantum spin systems to the spin-1/2 antiferromagnetic XXZ model on a two-dimensional square lattice. Based on an auxiliary fermion representation we derive…

强关联电子 · 物理学 2013-01-14 Stefan Göttel , Sabine Andergassen , Carsten Honerkamp , Dirk Schuricht , Stefan Wessel

We use numerical transfer-matrix methods, together with finite-size scaling and conformal invariance concepts, to discuss critical properties of two-dimensional honeycomb-lattice Ising spin-1/2 magnets, with couplings which are…

统计力学 · 物理学 2013-02-18 S. L. A. de Queiroz

In this paper, the phase diagrams and the critical behavior of the spin-1/2 anisotropic XXZ ferromagnetic model (the anisotropic parameter {\Delta}\in(-\infty,1]) on two kinds of diamond-type hierarchical (DH) lattices with fractal…

统计力学 · 物理学 2011-11-03 Xiu-Xing Zhang , Xiang-Mu Kong , Zhong-Yang Gao , Xiao-Song Chen

The antiferromagnetic Heisenberg model on an anisotropic kagome lattice may be a good minimal model for real magnetic systems as well as a limit from which the isotropic case can be better understood. We therefore study the nearest-neighbor…

强关联电子 · 物理学 2009-08-05 E. M. Stoudenmire , Leon Balents

The spin-3/2 Blume-Emery-Griffiths model on a honeycomb lattice is studied by Monte Carlo simulations with the goal to determine phase diagrams for a range of the model parameters and to investigate the nature of the phase transitions…

统计力学 · 物理学 2014-01-09 M. Žukovič , M. Jaščur

The triangular lattice of S=1/2 spins with XXZ anisotropy is a ubiquitous model for various frustrated systems in different contexts. We determine the quantum phase diagram of the model in the plane of the anisotropy parameter and the…

强关联电子 · 物理学 2014-04-04 Daisuke Yamamoto , Giacomo Marmorini , Ippei Danshita

We determine the finite-temperature phase diagram and critical behavior of the classical square-lattice Heisenberg-compass model using large-scale Monte Carlo simulations and finite-size scaling. Six symmetry distinct ordered phases are…

强关联电子 · 物理学 2026-03-11 Yuchen Fan

We investigate the spatially anisotropic square lattice quantum antiferromagnet. The model describes isotropic spin-1/2 Heisenberg chains (exchange constant J) coupled antiferromagnetically in the transverse (J_\perp) and diagonal…

强关联电子 · 物理学 2007-05-23 Oleg A. Starykh , Leon Balents

We consider the interaction-round-a-face version of the six-vertex model for arbitrary anisotropy parameter, which allow us to derive an integrable one-dimensional quantum Hamiltonian with three-spin interactions. We apply the quantum…

数学物理 · 物理学 2023-09-07 T. S. Tavares , G. A. P. Ribeiro

We present a model compound with a spin-1/2 spatially anisotropic frustrated square lattice, in which three antiferromagnetic interactions and one ferromagnetic interaction are competing. We observe an unconventional gradual increase in the…

强关联电子 · 物理学 2021-06-24 H. Yamaguchi , Y. Iwasaki , Y. Kono , T. Okubo , S. Miyamoto , Y. Hosokoshi , A. Matsuo , T. Sakakibara , T. Kida , M. Hagiwara

Nematicity plays an important role in strongly correlated electron systems. We explore the spin nematicity of a spin-1 kagome lattice antiferromagnet with the bilinear-biquadratic model and single-ion anisotropy using a generalized…

强关联电子 · 物理学 2025-07-24 Chun-Jiong Huang , Xu-Ping Yao , Gang v. Chen

Spin-$S$ Heisenberg quantum antiferromagnets on the Kagome lattice offer, when placed in a magnetic field, a fantastic playground to observe exotic phases of matter with (magnetic analogs of) superfluid, charge, bond or nematic orders, or a…

强关联电子 · 物理学 2016-02-24 Thibaut Picot , Marc Ziegler , Roman Orus , Didier Poilblanc

We determine the quantum phase diagram of the antiferromagnetic spin-1/2 XXZ model on the triangular lattice as a function of magnetic field and anisotropic coupling $J_z$. Using the density matrix renormalization group (DMRG) algorithm in…

强关联电子 · 物理学 2015-03-05 Daniel Sellmann , Xue-Feng Zhang , Sebastian Eggert

Monte Carlo simulations and finite-size scaling theory have been used to study the critical behavior of repulsive dimers on square lattices at 2/3 monolayer coverage. A "zig-zag" (ZZ) ordered phase, characterized by domains of parallel ZZ…

统计力学 · 物理学 2008-04-09 F. Roma , J. L. Riccardo , A. J. Ramirez-Pastor
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