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The spin-1/2 Heisenberg model on the pyrochlore lattice is an iconic frustrated three-dimensional spin system with a rich phase diagram. Besides hosting several ordered phases, the model is debated to possess a spin-liquid ground state when…

Antiferromagnetic Heisenberg model on the triangular lattice is perhaps the best known example of frustrated magnets, but it orders at low temperatures. Recent density matrix renormalization group (DMRG) calculations find that next nearest…

量子气体 · 物理学 2018-05-08 Ahmet Keles , Erhai Zhao

The spin-1/2 Heisenberg antiferromagnet on the frustrated diamond-decorated square lattice is known to feature various zero-field ground-state phases, consisting of extended monomer-dimer and dimer-tetramer ground states as well as a…

强关联电子 · 物理学 2023-03-27 Nils Caci , Katarina Karlova , Taras Verkholyak , Jozef Strecka , Stefan Wessel , Andreas Honecker

The phase transition of the quantum spin-1/2 frustrated Heisenberg antiferroferromagnet on an anisotropic square lattice is studied by using a variational treatment. The model is described by the Heisenberg Hamiltonian with two…

统计力学 · 物理学 2015-06-05 Orlando D. Mabelini , Octavio Salmon , J. Ricardo de Sousa

We study a two-dimensional (2D) spin-half Heisenberg model related to the quasi 2D antiferromagnets (Ba,Sr)2Cu3O4Cl2 by means of exact diagonalization and spin-wave theory. The model consists of two inequivalent interpenetrating…

强关联电子 · 物理学 2009-11-10 D. Schmalfuss , R. Herms , J. Richter , J. Schulenburg

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

The S=1/2 and S=1 two-dimensional quantum Heisenberg antiferromagnets on the anisotropic dimerized square lattice are investigated by the quantum Monte Carlo method. By finite-size-scaling analyses on the correlation lengths, the…

强关联电子 · 物理学 2009-11-07 Munehisa Matsumoto , Chitoshi Yasuda , Synge Todo , Hajime Takayama

We present magnetic properties of the three-band Hubbard model in the para- and antiferromagnetic phase on a hypercubic lattice calculated with the Dynamical Mean-Field Theory (DMFT). To allow for solutions with broken spin-symmetry we…

强关联电子 · 物理学 2009-10-31 Th. Maier , M. B. Zoelfl , Th. Pruschke , J. Keller

We present the dynamical spin structure factor of the antiferromagnetic spin-$\frac{1}{2}$ $J_1-J_2$ Heisenberg model on a triangular lattice obtained from large-scale matrix-product state simulations. The high frustration due to the…

强关联电子 · 物理学 2023-12-11 Markus Drescher , Laurens Vanderstraeten , Roderich Moessner , Frank Pollmann

We present a comprehensive computational study of the phase diagram of the frustrated S=1/2 Heisenberg antiferromagnet on the honeycomb lattice, with second-nearest (J2) and third-neighbor (J3) couplings. Using a combination of exact…

强关联电子 · 物理学 2015-03-19 A. F. Albuquerque , D. Schwandt , B. Hetényi , S. Capponi , M. Mambrini , A. M. Läuchli

The ground-state phase diagram of a spin-1/2 XXZ chain with competing ferromagnetic nearest-neighbor (J_1<0) and antiferromagnetic second-neighbor (J_2>0) exchange couplings is studied by means of the infinite time evolving block decimation…

强关联电子 · 物理学 2012-09-14 Shunsuke Furukawa , Masahiro Sato , Shigeki Onoda , Akira Furusaki

In the present paper, we study spin-${1 \over 2}$ antiferromagnetic (AF) Heisenberg model on layered anisotropic triangular lattice and obtain its phase structure. We use the Schwinger bosons for representing spin operators and also…

强关联电子 · 物理学 2011-07-26 Kazuya Nakane , Takeshi Kamij , Ikuo Ichinose

Making use of infinite projected entangled pair states, we investigate the ground state phase diagram of the nearest-neighbor spin-1 bilinear-biquadratic Heisenberg model on the triangular lattice. In agreement with previous studies, we…

强关联电子 · 物理学 2018-06-28 Ido Niesen , Philippe Corboz

We present an antiferromagnetic quantum spin-1/2 model on honeycomb lattice. It has two parts, one of which is the usual nearest-neighbor Heisenberg model. The other part is a certain multiple spin interaction term, introduced by us, which…

强关联电子 · 物理学 2015-05-13 Rakesh Kumar , Dushyant Kumar , Brijesh Kumar

We study the quantum phase diagram of the Heisenberg planar antiferromagnet with a subset of four-spin ring exchange interactions, using the recently proposed heirarchical mean-field approach. By identifying relevant degrees of freedom, we…

强关联电子 · 物理学 2015-05-13 L. Isaev , G. Ortiz , J. Dukelsky

Using both exact diagonalizations and diagonalizations in a subset of short-range valence bond singlets, we address the nature of the groundstate of the Heisenberg spin-1/2 antiferromagnet on the square lattice with competing next-nearest…

强关联电子 · 物理学 2007-05-23 M. Mambrini , A. Laeuchli , D. Poilblanc , F. Mila

We study the ground-state phase diagram of a Heisenberg model with spin $S=\frac{1}{2}$ on a diamond-like decorated square lattice. A diamond unit has two types of antiferromagnetic exchange interactions, and the ratio $\lambda$ between the…

统计力学 · 物理学 2016-12-21 Yuhei Hirose , Akihide Oguchi , Yoshiyuki Fukumoto

The Heisenberg antiferromagnet on a two-dimensional triangular lattice is a paradigmatic problem in frustrated magnetism. Even in the classical limit, its properties are far from simple. The "120 degree" ground state favoured by the…

强关联电子 · 物理学 2011-12-19 Luis Seabra , Tsutomu Momoi , Philippe Sindzingre , Nic Shannon

In this paper, we investigate the ground-state phase diagram of the $S=1/2$ Heisenberg-$\Gamma$ model on a honeycomb lattice by dimer series expansion and exact diagonalization. We focus on the effects of the anisotropy of the interactions;…

强关联电子 · 物理学 2021-06-23 Takafumi Suzuki , Takuto Yamada , Sei-ichiro Suga

Strongly correlated systems with geometric frustrations can host the emergent phases of matter with unconventional properties. Here, we study the spin $S = 1$ Heisenberg model on the honeycomb lattice with the antiferromagnetic first-…

强关联电子 · 物理学 2015-11-10 Shou-Shu Gong , Wei Zhu , D. N. Sheng