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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

We study the effect of spin anisotropies on a frustrated quantum antiferromagnet using the J_1-J_2^{XXZ} model on the square lattice. The T=0 and finite-T phase diagrams of this model are obtained utilizing spin-wave theory, exact…

强关联电子 · 物理学 2009-11-10 Tommaso Roscilde , Adrian Feiguin , Alexander L. Chernyshev , Shiu Liu , Stephan Haas

The Heisenberg model on a triangular lattice is a prime example for a geometrically frustrated spin system. However most experimentally accessible compounds have spatially anisotropic exchange interactions. As a function of this anisotropy,…

强关联电子 · 物理学 2014-05-05 Burkhard Schmidt , Peter Thalmeier

We study the S=1 square lattice Heisenberg antiferromagnet with spatially anisotropic nearest neighbor couplings $J_{1x}$, $J_{1y}$ frustrated by a next-nearest neighbor coupling $J_{2}$ numerically using the density-matrix renormalization…

强关联电子 · 物理学 2015-05-13 H. C. Jiang , F. Krüger , J. E. Moore , D. N. Sheng , J. Zaanen , Z. Y. Weng

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

We investigate the quantum phases of the frustrated spin-$\frac{1}{2}$ $J_1$-$J_2$-$J_3$ Heisenberg model on the square lattice with ferromagnetic $J_1$ and antiferromagnetic $J_2$ and $J_3$ interactions. Using the pseudo-fermion functional…

强关联电子 · 物理学 2016-12-06 Yasir Iqbal , Pratyay Ghosh , Rajesh Narayanan , Brijesh Kumar , Johannes Reuther , Ronny Thomale

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

We study the zero-temperature phase diagram of the $J_{1}^{XXZ}$--$J_{2}^{XXZ}$ Heisenberg model for spin-1 particles on an infinite square lattice interacting via nearest-neighbour ($J_1 \equiv 1$) and next-nearest-neighbour ($J_2 > 0$)…

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

The effects of quantum fluctuations due to directional anisotropy and frustration between nearest neighbors and next-nearest neighbors of the quantum spin-1/2 Heisenberg antiferromagnet on a square lattice are investigated using spin-wave…

强关联电子 · 物理学 2010-10-06 Kingshuk Majumdar

Magnetic phase diagram of a spatially anisotropic, frustrated spin-1/2 Heisenberg antiferromagnet on a stacked square lattice is investigated using second-order spin-wave expansion. The effects of interlayer coupling and the spatial…

强关联电子 · 物理学 2011-01-10 Kingshuk Majumdar

The low energy spin excitations of the Fe pnictide parent compounds have been determined by inelastic neutron scattering and interpreted within the local moment J_1a,b-J_2 Heisenberg model with orthorhombic symmetry. This has led to…

强关联电子 · 物理学 2010-04-20 Burkhard Schmidt , Mohammad Siahatgar , Peter Thalmeier

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

The zero-temperature phase diagram of the spin-$\frac{1}{2}$ $J_{1}$--$J_{2}$--$J_{1}^{\perp}$ model on an $AA$-stacked square-lattice bilayer is studied using the coupled cluster method implemented to very high orders. Both…

强关联电子 · 物理学 2019-07-03 R. F. Bishop , P. H. Y. Li , O. Götze , J. Richter

Using exact diagonalization (ED) and linear spin wave theory (LSWT) we study the influence of frustration and quantum fluctuations on the magnetic ordering in the ground state of the spin-1/2 J1-J2 Heisenberg antiferromagnet (J1-J2 model)…

强关联电子 · 物理学 2009-11-07 R. Schmidt , J. Schulenburg , J. Richter , D. D. Betts

We investigate the ground-state phase diagram of an anisotropic Heisenberg model on the honeycomb lattice with competing interactions. We use quantum Monte Carlo simulations, as well as linear spin-wave and Ising series expansions, to…

强关联电子 · 物理学 2012-09-12 A. Kalz , M. Arlego , D. Cabra , A. Honecker , G. Rossini

Using the coupled-cluster method for infinite lattices and the exact diagonalization method for finite lattices, we study the influence of an exchange anisotropy Delta on the ground-state phase diagram of the spin-1/2 frustrated J1-J2 XXZ…

强关联电子 · 物理学 2009-02-18 R. Darradi , J. Richter , J. Schulenburg , R. F. Bishop , P. H. Y. Li

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 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

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 investigate possible quantum ground states as well as the classical limit of a frustrated J1-J2 Heisenberg model on the three-dimensional (3D) hyperhoneycomb lattice. Our study is inspired by the recent discovery of beta-Li2IrO3, where…

强关联电子 · 物理学 2014-11-05 SungBin Lee , Jae-Seung Jeong , Kyusung Hwang , Yong Baek Kim
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