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We present Quantum Monte-Carlo simulations of an exchange-anisotropic spin-1/2 Heisenberg model on a square lattice with nearest and next-nearest neighbor interactions. The ground state phase diagram shows two classical magnetically ordered…

强关联电子 · 物理学 2012-12-20 A. Kalz , A. Honecker , S. Fuchs , T. Pruschke

The spin-1/2 square-lattice Heisenberg model is predicted to have a quantum disordered ground state when magnetic frustration is maximized by competing nearest-neighbor $J_1$ and next-nearest-neighbor $J_2$ interactions ($J_2/J_1 \approx…

We perform an extensive density matrix renormalization group (DMRG) study of the ground-state phase diagram of the spin-1/2 J_1-J_2 Heisenberg model on the kagome lattice. We focus on the region of the phase diagram around the kagome…

强关联电子 · 物理学 2015-03-26 Fabian Kolley , Stefan Depenbrock , Ian P. McCulloch , Ulrich Schollwöck , Vincenzo Alba

Frustrated magnetic compounds, in particular low-dimensional, are topical research due to persistent uncover of novel nontrivial quantum states and potential applications. The problem of this field is that many important results are…

无序系统与神经网络 · 物理学 2019-08-22 V. E. Valiulin , A. V. Mikheyenkov , N. M. Chtchelkatchev , A. F. Barabanov

We study the phase diagram of the isotropic $J_{1}$--$J_{1}'$--$J_{2}$ Heisenberg model for spin-1 particles on an anisotropic square lattice, using the coupled cluster method. We find no evidence for an intermediate phase between the…

强关联电子 · 物理学 2010-05-07 R. F. Bishop , P. H. Y. Li , R. Darradi , J. Richter

Motivated by the geometry of the materials Na_2 Ti_2 As_2 O and Na_2 Ti_2 Sb_2 O, we study a square-lattice Heisenberg antiferromagnet with spins located at the bond-centers. The largest exchange constant J couples neighboring spins in a…

强关联电子 · 物理学 2009-10-30 R. R. P. Singh , O. A. Starykh , P. J. Freitas

The geometrically frustrated spin-1/2 Ising-Heisenberg model on triangulated Husimi lattices is exactly solved by combining the generalized star-triangle transformation with the method of exact recursion relations. The ground-state and…

统计力学 · 物理学 2015-12-11 J. Strecka , C. Ekiz

Using the J_1-J_2 model, we present a description of quantum phase transition from Neel ordered to the spin-liquid state based on the modified spin wave theory. The general expression for the gap in the spectrum in the spin-liquid phase is…

凝聚态物理 · 物理学 2009-10-22 A. Dotsenko , O. Sushkov

The $J_1$--$J_2$ Heisenberg model is a "canonical" model in the field of quantum magnetism in order to study the interplay between frustration and quantum fluctuations as well as quantum phase transitions driven by frustration. Here we…

强关联电子 · 物理学 2016-06-15 D. J. J. Farnell , O. Götze , J. Richter

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 investigate the interplay between frustration and zero-point quantum fluctuations in the ground state of the triangular and $J_1{-}J_2$ Heisenberg antiferromagnets, using finite-size spin-wave theory, exact diagonalization, and quantum…

强关联电子 · 物理学 2009-11-07 Luca Capriotti

We propose a novel two-dimensional (2D)frustrated quantum spin-1/2 anisotropic Heisenberg model with alternating ferromagnetic and antiferromagnetic magnetic chains along one direction and antiferromagnetic interactions along the other. The…

强关联电子 · 物理学 2021-01-20 Kingshuk Majumdar , Subhendra D. Mahanti

Using modified spin wave (MSW) method, we study the $J_1-J_2$ Heisenberg model with first and second neighbor antiferromagnetic exchange interactions. For symmetric $S=1/2$ model, with the same couplings for all the equivalent neighbors, we…

强关联电子 · 物理学 2016-08-24 Elaheh Ghorbani , Farhad Shahbazi , Hamid Mosadeq

We apply the plaquette renormalization scheme of tensor network states [Phys. Rev. E, 83, 056703 (2011)] to study the spin-1/2 frustrated Heisenberg J1-J2 model on a L*L square lattice with L = 8, 16 and 32. By treating tensor elements as…

强关联电子 · 物理学 2016-11-25 Ji-Feng Yu , Ying-Jer Kao

We examine the phase diagram of the spin-$1$ $J_1-J_2-J_3$ ferromagnetic Heisenberg model with an easy-plane crystal field on the cubic lattice, in which $J_1$ is the ferromagnetic exchange interaction between nearest neighbors, $J_2$ is…

强关联电子 · 物理学 2016-03-02 D. C. Carvalho , A. S. T. Pires , L. A. S. Mól

We study an asymmetric $J_1$-$J_2$ zigzag ladder consisting of two different spin-$\frac{1}{2}$ antiferromagnetic (AFM; $J_2$, $\gamma J_2>0$) Heisenberg legs coupled by zigzag-shaped ferromagnetic (FM; $J_1<0$) inter-leg interaction. On…

强关联电子 · 物理学 2020-03-13 Tomoki Yamaguchi , Stefan-Ludwig Drechsler , Yukinori Ohta , Satoshi Nishimoto

We use a combination of analytical and numerical techniques to study the phase diagram of the frustrated Heisenberg model on the bilayer honeycomb lattice. Using the Schwinger boson description of the spin operators followed by a mean field…

强关联电子 · 物理学 2014-01-08 Hao Zhang , M. Arlego , C. A. Lamas

Frustrated one-dimensional (1D) magnets are known as ideal playgrounds for new exotic quantum phenomena to emerge. We consider an elementary frustrated 1D system: the spin-$\frac{1}{2}$ ferromagnetic ($J_1$) Heisenberg chain with…

In the present paper we present some new data supporting the existence of a spin-disordered phase in the Heisenberg model on the honeycomb lattice with antiferromagnetic interactions up to third neighbors along the line J2=J3, predicted in…

强关联电子 · 物理学 2011-06-01 D. C. Cabra , C. A. Lamas , H. D. Rosales

We study the ground-state (gs) properties of the frustrated spin-1/2 $J_{1}$--$J_{2}$--$J_{3}$ Heisenberg model on a honeycomb lattice with ferromagnetic (FM) nearest-neighbor ($J_{1}=-1$) exchange and frustrating antiferromagnetic (AFM)…

强关联电子 · 物理学 2012-02-23 P. H. Y. Li , R. F. Bishop , D. J. J. Farnell , J. Richter , C. E. Campbell