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An anyon-chain-like lattice model with symmetry described by the Ising fusion category is studied. Combining numerical and analytical studies, we uncover a rich phase diagram that contains three phases: a symmetric critical phase and two…

强关联电子 · 物理学 2026-04-23 Soumil Roychowdhury , Chenjie Wang

Ground-state and finite-temperature properties of the mixed spin-1/2 and spin-S Ising-Heisenberg diamond chains are examined within an exact analytical approach based on the generalized decoration-iteration map. A particular emphasis is…

统计力学 · 物理学 2009-11-11 Lucia Canova , Jozef Strecka , Michal Jascur

The interplay between frustration and quantum fluctuation in magnetic systems is known to be the origin of many exotic states in condensed matter physics. In this paper, we consider a frustrated four-leg spin tube under a magnetic field.…

强关联电子 · 物理学 2015-03-11 X. Plat , Y. Fuji , S. Capponi , P. Pujol

Low-temperature magnetization curves and thermodynamics of a frustrated spin-1/2 Heisenberg triangular bilayer with the antiferromagnetic intradimer interaction and either ferromagnetic or antiferromagnetic interdimer interaction are…

统计力学 · 物理学 2018-11-28 Jozef Strecka , Katarina Karlova , Vasyl Baliha , Oleg Derzhko

The anisotropic triangular lattice of the crednerite system Cu(Mn1-xCux)O2 is used as a basic model for studying the influence of spin disorder on the ground state properties of a two-dimensional frustrated antiferromagnet. Neutron…

强关联电子 · 物理学 2011-03-31 V. Ovidiu Garlea , Andrei T. Savici , Rongying Jin

We study the $S = 1/2$ Heisenberg antiferromagnet on the Lieb lattice accompanied by additional interactions that create frustration. The system exhibits a ferrimagnetic ground state in the absence of frustration. Further, we successfully…

强关联电子 · 物理学 2024-10-16 Rito Furuchi , Hiroki Nakano , Tôru Sakai

The resolution of geometric frustration in systems with continuous degrees of freedom often involves a cooperative inhomogeneous response and super-extensive energy scaling. In contrast, the frustration in frustrated Ising-like spin systems…

软凝聚态物质 · 物理学 2022-06-29 Snir Meiri , Efi Efrati

We outline the recent results on the ground state for a class of one- and two-dimensional frustrated quantum spin models with competing ferro(F)- and antiferromagnetic (AF) interactions. Frustrated spin systems are known to have many…

强关联电子 · 物理学 2007-05-23 A. A. Ovchinnikov , V. Ya. Krivnov , D. V. Dmitriev

The interplay between Kondo effect, indirect magnetic interaction and geometrical frustration is studied in the Kondo lattice on the one-dimensional zigzag ladder. Using the density-matrix renormalization group (DMRG), the ground state and…

强关联电子 · 物理学 2018-03-14 Matthias Peschke , Roman Rausch , Michael Potthoff

Mott transition and ferrimagnetism are studied in the Hubbard model on the anisotropic kagom\'e lattice using the variational cluster approximation and the phase diagram at zero temperature and half-filling is analyzed. The ferrimagnetic…

强关联电子 · 物理学 2015-03-17 A. Yamada , K. Seki , R. Eder , Y. Ohta

Lattice models, also known as generalized Ising models or cluster expansions, are widely used in many areas of science and are routinely applied to alloy thermodynamics, solid-solid phase transitions, magnetic and thermal properties of…

无序系统与神经网络 · 物理学 2016-11-17 Wenxuan Huang , Daniil A. Kitchaev , Stephen Dacek , Ziqin Rong , Alexander Urban , Shan Cao , Chuan Luo , Gerbrand Ceder

The frustration phenomenon in an exactly solvable spin-electron planar model constituted by identical bipyramidal plaquettes is discussed within the Toulouse's and dos Santos and Lyra's frustration concepts. It is shown that the ground…

统计力学 · 物理学 2021-09-30 Lucia Gálisová

The low-energy magnetic configurations of artificial frustrated spin chains are investigated using magnetic force microscopy and micromagnetic simulations. Contrary to most studies on two-dimensional artificial spin systems where…

介观与纳米尺度物理 · 物理学 2017-08-02 V. -D. Nguyen , Y. Perrin , S. Le Denmat , B. Canals , N. Rougemaille

We investigate the frustrated $J_1$-$J_2$-$J_3$ Ising model on the honeycomb lattice, featuring first- and second-neighbor ferromagnetic couplings ($J_1>0$ and $J_2>0$) and third-neighbor antiferromagnetic interactions ($J_3<0$). Using the…

统计力学 · 物理学 2026-01-28 Pietro F. Dias , Fabio M. Zimmer , Nikolaos G. Fytas , Mateus Schmidt

We consider discrete spin models on arbitrary planar graphs and lattices with frustrated interactions. We first analyze the Ising model with frustrated plaquettes. We use an algebraic approach to derive the result that an Ising model with…

统计力学 · 物理学 2009-11-07 D. -H. Lee , F. Y. Wu

The entropy that an insulating magnetic material releases upon cooling can reveal important information about the properties of spin states in that material. In many geometrically frustrated (GF) magnetic compounds, the heat capacity…

强关联电子 · 物理学 2025-11-06 Siyu Zhu , Arthur P. Ramirez , Sergey Syzranov

We study numerically the ordering kinetics in a two-dimensional Ising model with random coupling where the fraction of antiferromagnetic links $a$ can be gradually tuned. We show that, upon increasing such fraction, the behavior changes in…

统计力学 · 物理学 2021-01-12 Manoj Kumar , Federico Corberi , Eugenio Lippiello , Sanjay Puri

The complex energy landscapes exhibited by frustrated magnetic systems undergoing quantum fluctuations are a challenge to accurately simulate, and thus of great interest for testing diverse qubit platforms in the field of quantum…

We study spinless bosons in a decorated square lattice with a near-diagonal tilt. The resonant subspace of the tilted Mott insulator is described by an effective Hamiltonian of frustrated quantum Ising spins on a non-bipartite lattice. This…

量子气体 · 物理学 2012-12-10 Susanne Pielawa , Erez Berg , Subir Sachdev

We study the ground-state properties of a family of frustrated spin-1/2 Heisenberg models on two- and three-dimensional decorated lattices composed of connected star-shaped units. Each star is built from edge-sharing triangles with an…

强关联电子 · 物理学 2026-02-10 D. V. Dmitriev , V. Ya. Krivnov , O. A. Vasilyev