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We investigate the quantum phases of higher-spin Kitaev models using tensor network methods. Our results reveal distinct bond-ordered phases for spin-1, spin-$\tfrac{3}{2}$, and spin-2 models. In all cases, we find translational symmetry…

强关联电子 · 物理学 2025-11-11 Xing-Yu Zhang , Qi Yang , Philippe Corboz , Jutho Haegeman , Yuchi He

We study the effect of spin-Peierls instability on the phase-diagram of a frustrated antiferromagnetic spin-1/2 ladder, with weak transverse and diagonal rung coupling. Our analysis focuses on a one-dimensional version of the model (i.e. a…

强关联电子 · 物理学 2014-12-24 Ofer Shlagman , Efrat Shimshoni

Trillium lattices, where magnetic ions form a three-dimensional chiral network of corner-sharing equilateral triangular motifs, offer a prominent platform to explore exotic quantum states. In this work, we report ground-state properties of…

The spin dynamics of the semiclassical Heisenberg model with uniaxial anisotropy, on the layered triangular lattice with antiferromagnetic coupling for both intralayer nearest neighbor interaction and interlayer interaction is studied both…

强关联电子 · 物理学 2007-05-23 Ranjan Chaudhury

We implement the coupled cluster method to very high orders of approximation to study the spin-$\frac{1}{2}$ $J_{1}$--$J_{2}$ Heisenberg model on a cross-striped square lattice. Every nearest-neighbour pair of sites on the square lattice…

强关联电子 · 物理学 2017-11-13 P. H. Y. Li , R. F. Bishop

A ferrimagnetic spin model composed of $S=1/2$ spin-dimers and $S=5/2$ spin-chains is studied by combining the bond-operator representation (for $S=1/2$ spin-dimers) and Holstein-Primakoff transformation (for $S=5/2$ spins). A finite…

强关联电子 · 物理学 2015-05-14 Bao Xu , Han-Ting Wang , Yupeng Wang

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 investigate the Heisenberg model on a decorated square (Fisher) lattice in the presence of first-neighbor $J_{1}$, second-neighbor $J_{2}$, and third-neighbor $J_{3}$ exchange couplings, with antiferromagnetic $J_{1}$. The classical…

强关联电子 · 物理学 2020-12-08 Atanu Maity , Yasir Iqbal , Saptarshi Mandal

An effective spin-orbit Hamiltonian is derived for a spin-1/2 trimerized kagome antiferromagnet in the second-order of perturbation theory in the ratio of two coupling constants. Low-energy singlet states of the obtained model are mapped to…

强关联电子 · 物理学 2007-05-23 M. E. Zhitomirsky

A linear spin-wave approach, a variational method and exact diagonlization are used to investigate the magnetic long-range order (LRO) of the spin-1/2 Heisenberg antiferromagnet on a two-dimensional 1/7-depleted triangular (maple leaf)…

强关联电子 · 物理学 2009-11-07 D. Schmalfuss , P. Tomczak , J. Schulenburg , J. Richter

The interplay between lattice topology, frustration, and spin quantum number, $s$, is explored for the Heisenberg antiferromagnet (HAFM) on the eleven two-dimensional Archimedean lattices (square, honeycomb, CaVO, SHD, SrCuBO, triangle,…

强关联电子 · 物理学 2019-03-20 D. J. J. Farnell , O. Götze , J. Schulenburg , R. Zinke , R. F. Bishop , P. H. Y. Li

We study the zero-temperature quantum phase diagram of a spin-1 Heisenberg antiferromagnet on the honeycomb lattice with both nearest-neighbor exchange coupling $J_{1}>0$ and frustrating next-nearest-neighbor coupling $J_{2} \equiv \kappa…

强关联电子 · 物理学 2016-06-30 P. H. Y. Li , R. F. Bishop

A combination of small-cluster exact-diagonalization calculations and a well-controlled approximative method is used to examine the ground-state phase diagrams of the spin-one-half Falicov-Kimball model extended by the spin-dependent…

强关联电子 · 物理学 2015-06-25 Martin Zonda

This paper is concerned with physics of the low energy singlet excitations found to exist below the spin gap in numerical studies of the Kagome lattice quantum Heisenberg antiferromagnet. Insight into the nature of these excitations is…

强关联电子 · 物理学 2010-07-16 P. Nikolic , T. Senthil

We use non-perturbative linked-cluster expansions to determine the ground-state energy per site of the spin-one Heisenberg model on the kagome lattice. To this end, a parameter is introduced allowing to interpolate between a fully…

强关联电子 · 物理学 2015-12-09 D. Ixert , T. Tischler , K. P. Schmidt

We perform a systematic study of the antiferromagnetic Heisenberg model on the Husimi lattice using numerical tensor-network methods based on Projected Entangled Simplex States (PESS). The nature of the ground state varies strongly with the…

强关联电子 · 物理学 2016-03-09 H. J. Liao , Z. Y. Xie , J. Chen , X. J. Han , H. D. Xie , B. Normand , T. Xiang

The magnetic phase diagram and the thermodynamic properties of a square lattice containing antiferromagnetically coupled spin-1/2 triangles are studied. A Heisenberg Hamiltonian with three strong intra-triangle exchange coupling constants…

强关联电子 · 物理学 2009-10-31 Stefan Wessel , Stephan Haas

We study effects of disorder (randomness) in a 2D square-lattice $S=1/2$ quantum spin system, the $J$-$Q$ model with a 6-spin interaction $Q$ supplementing the Heisenberg exchange $J$. In the absence of disorder the system hosts…

强关联电子 · 物理学 2018-12-11 Lu Liu , Hui Shao , Yu-Cheng Lin , Wenan Guo , Anders W. Sandvik

We report the magnetic ground state, spin excitations, and spin Hamiltonian of the 2D spin-1 trimerized Heisenberg antiferromagnet Li2Ni3P4O14. Below the magnetic ordering temperature TN = 14.5 K, the compound exhibits a canted long-range…

强关联电子 · 物理学 2025-07-03 K. S. Chikara , A. K. Bera , A. Kumar , S. M. Yusuf , F. Orlandi , C. Balz

We study the ground state properties of the S=$\frac{1}{2}$ Heisenberg antiferromagnet (HAF) on the triangular lattice with nearest-neighbour ($J$) and next-nearest neighbour ($\alpha J$) couplings. Classically, this system is known to be…

凝聚态物理 · 物理学 2009-10-22 R. Deutscher , H. U. Everts