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Recently, it has been proposed that higher-spin analogues of the Kitaev interactions $K>0$ may also occur in a number of materials with strong Hund's and spin-orbit coupling. In this work, we use Lanczos diagonalization and density matrix…

Strongly Correlated Electrons · Physics 2020-10-26 Wen-Long You , Gaoyong Sun , Jie Ren , Wing Chi Yu , Andrzej M. Oleś

We study the ground state phases of the $S=1/2$ Heisenberg quantum antiferromagnet on the spatially anisotropic triangular lattice and on the square lattice with up to next-next-nearest neighbor coupling (the $J_1J_2J_3$ model), making use…

Strongly Correlated Electrons · Physics 2011-08-05 Philipp Hauke , Tommaso Roscilde , Valentin Murg , J. Ignacio Cirac , Roman Schmied

The effective interaction between the itinerant spin degrees of freedom in the paramagnetic phases of hole doped quantum Heisenberg antiferromagnets is investigated theoretically, based on the single-band t-J model on 1D lattice, at zero…

Strongly Correlated Electrons · Physics 2018-07-11 Suraka Bhattacharjee , Ranjan Chaudhury

Understanding the nature of the excitation spectrum in quantum spin liquids is of fundamental importance, in particular for the experimental detection of candidate materials. However, current theoretical and numerical techniques have…

Strongly Correlated Electrons · Physics 2019-08-20 Francesco Ferrari , Federico Becca

Using density matrix renormalization group calculations, ground state properties of the spin-1 Heisenberg chain with exchange and single-ion anisotropies in an external field are studied. Our findings confirm and refine recent results by…

Statistical Mechanics · Physics 2009-04-27 D. Peters , I. P. McCulloch , W. Selke

We investigate the finite-temperature phase diagram of the classical $J_1$-$J_2$ XY model on a square lattice using a tensor network approach designed for frustrated spin systems. This model, characterized by competing nearest-neighbor and…

Strongly Correlated Electrons · Physics 2024-12-30 Feng-Feng Song , Hanggai Nuomin , Naoki Kawashima

The ground state of a spin-1/2 Heisenberg chain with both frustration and long-range interactions is studied using Lanczos exact diagonalization. The evolution of the well known dimerization transition of the system with short-range…

Strongly Correlated Electrons · Physics 2010-05-04 Anders W. Sandvik

The effect of three-spin interaction k on thermal entanglement between alternate qubits is studied using pairwise concurrence C and energy level diagram. It is found that k breaks the symmetry about the effect of magnetic field h on C. It…

Quantum Physics · Physics 2017-10-03 Jing-Heng Fu , Guo-Feng Zhang

The ground state of the $S=1/2$ $J_{1}-J_{1}$ Heisenberg model on the 2D square lattice with arbitrary signs of exchange constants is considered. States with different spin long-range order types (antiferromagnetic checkerboard, stripe,…

Strongly Correlated Electrons · Physics 2013-07-25 A. V. Miheyenkov , A. V. Shvartsberg , A. F. Barabanov

We analyze the stability of the spontaneously dimerized spin-liquid phase of the frustrated Heisenberg antiferromagnet - the J1-J2 model. The lowest triplet excitation, corresponding to breaking of a singlet bond, is found to be stable in…

Strongly Correlated Electrons · Physics 2009-10-31 Valeri N. Kotov , J. Oitmaa , Oleg P. Sushkov , Zheng Weihong

Finding an exact solution for a realistic interacting quantum many-body problem is often challenging. There are only a few problems where an exact solution can be found, usually in a narrow parameter space. Here, we propose a spin-$1/2$…

Strongly Correlated Electrons · Physics 2024-09-04 Manas Ranjan Mahapatra , Rakesh Kumar

Solid state quantum computing proposals rely on adiabatic operations of the exchange gate among localized spins in nanostructures. We study corrections to the Heisenberg interaction between lateral semiconductor quantum dots in an external…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. W. Scarola , S. Das Sarma

Chiral three-spin interactions can suppress long-range magnetic order and stabilize quantum spin liquid states in frustrated lattices. We study a spin-1/2 model on the kagome lattice involving a staggered three-spin interaction $J_\chi$ in…

Strongly Correlated Electrons · Physics 2022-09-07 Fabrizio Oliviero , João Augusto Sobral , Eric C. Andrade , Rodrigo G. Pereira

We demonstrate that the new single crystal of YCu$_3$[OH(D)]$_{6.5}$Br$_{2.5}$ (YCOB) is a kagome Heisenberg antiferromagnet (KHA) without evident orphan spins ($\ll$ 0.8\%). The site mixing between polar OH$^-$ and non-polar Br$^-$ causes…

Strongly Correlated Electrons · Physics 2022-02-10 Jiabin Liu , Long Yuan , Xuan Li , Boqiang Li , Kan Zhao , Haijun Liao , Yuesheng Li

We study the phase diagram at T=0 of the antiferromagnetic Heisenberg model on the triangular lattice with spatially-anisotropic interactions. For values of the anisotropy very close to J_alpha/J_beta=0.50, conventional spin wave theory…

Statistical Mechanics · Physics 2009-10-31 Adolfo E. Trumper

We examine the ground state of a Heisenberg model with arbitrary spin S on a one-dimensional lattice composed of diamond-shaped units. A unit includes two types of antiferromagnetic exchange interactions which frustrate each other. The…

Condensed Matter · Physics 2009-10-28 K. Takano , K. Kubo , H. Sakamoto

Shastry-Sutherland magnet is a typical frustrated spin system hosting rich phases. While the Heisenberg limit has been extensively studied, the role of spin-orbit coupling is not well explored. Motivated by newly discovered rare-earth…

Strongly Correlated Electrons · Physics 2025-12-12 Changle Liu , Guijing Duan , Rong Yu

We investigate the phase diagrams of a one-dimensional lattice model of fermions and of a spin chain with interactions extending up to next-nearest neighbour range. In particular, we investigate the appearance of regions with dominant…

Quantum Gases · Physics 2021-02-24 Lorenzo Gotta , Leonardo Mazza , Pascal Simon , Guillaume Roux

The Shastry-Sutherland model --- the $S=1/2$ Heisenberg antiferromagnet on the square lattice accompanied by orthogonal dimerized interactions --- is studied by the numerical-diagonalization method. Large-scale calculations provide results…

Strongly Correlated Electrons · Physics 2018-11-16 Hiroki Nakano , Toru Sakai

Previous studies of the $S=1/2$ triangular-lattice $J_1$--$J_2$ Heisenberg antiferromagnet have inferred the existence of a non-magnetic ground-state phase for an intermediate range of $J_2$, but disagree concerning whether it is a gapped…

Strongly Correlated Electrons · Physics 2026-02-17 Shengtao Jiang , Steven R. White , Steven A. Kivelson , Hong-Chen Jiang