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We study the ground state properties of antiferromagnetic $J_1$-$J_2$ chains with half-integer spins ranging from $S=\frac{3}{2}$ to $S=\frac{11}{2}$ using the density-matrix renormalization group method. We map out the ground-state phase…

Strongly Correlated Electrons · Physics 2024-10-14 Sahinur Reja , Satoshi Nishimoto

We have investigated Haldane's conjecture for the S=2 isotropic antiferromagnetic quantum spin chain with nearest-neighbor exchange J. Using a density matrix renormalization group algorithm for chains up to L=350 spins, we find in the…

Condensed Matter · Physics 2014-10-13 U. Schollwoeck , Th. Jolicoeur

We present variational results for the ground state of the antiferromagnetic quantum Heisenberg model with frustrating next-nearest-neighbour interactions. The trial wave functions employed are of resonating-valence-bond type, elaborated to…

Strongly Correlated Electrons · Physics 2013-10-24 Xiaoming Zhang , Jin Xu , K. S. D. Beach

Entanglement, magnetization and magnetic susceptibility for 1D antiferromagnetic spin 1 and spin 3/2 Heisenberg XXX model with Dzyaloshinskii-Moriya interaction, single-ion anisotropy and external magnetic field on the finite chain are…

Statistical Mechanics · Physics 2022-12-22 Nerses Ananikian , Vladimir V. Papoyan

We consider a special correlation function in the isotropic spin-$\half$ Heisenberg antiferromagnet. It is the probability of finding a ferromagnetic string of (adjacent) spins in the antiferromagnetic ground state. We give two different…

Condensed Matter · Physics 2009-10-22 Vladimir E. Korepin , Anatoli G. Izergin , Fabian H. L. Essler , Denis B. Uglov

Utilizing the matrix product formalism, we have studied the variation of entanglement and fidelity measures in the MP ground states of a generic anisotropic spin 2 chain with nearest neighbour interactions and shared symmetries. These MP…

Quantum Physics · Physics 2024-12-16 Victoria Sharmila Gomes , Amit Tribedi , Subhrajyoti Dey

The manifestations of topological effects in finite antiferromagnetic Heisenberg chains is examined by density matrix renormalization group technique in this paper. We find that difference between integer and half-integer spin chains shows…

Strongly Correlated Electrons · Physics 2009-10-31 Jizhong Lou , Shaojin Qin , Tai-Kai Ng , Zhaobin Su

The $J_1$-$J_2$ spin chain is one of the canonical models of quantum magnetism, and has long been known to host a critical antiferromagnetic phase with power-law decay of spin correlations. We show in this Letter that there are, in fact,…

Statistical Mechanics · Physics 2025-10-29 Adam J. McRoberts , Chris Hooley , A. G. Green

The electron-electron correlations in a many-electron (Ne = 1, 2,..., 5) quantum dot confined by a parabolic potential is investigated in the presence of a single magnetic ion and a perpendicular magnetic field. We obtained the energy…

Strongly Correlated Electrons · Physics 2008-11-19 Nga T. T. Nguyen , F. M. Peeters

Antiferromagnetic ground states, when doped, give rise to rich and complex phenomena, prompting detailed investigations in various spin systems. Here, we study the effect of doping on the one-dimensional $S = 1$ antiferromagnetic Heisenberg…

Strongly Correlated Electrons · Physics 2026-01-21 J. Prokopczyk , J. Herbrych

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)…

Strongly Correlated Electrons · Physics 2012-02-23 P. H. Y. Li , R. F. Bishop , D. J. J. Farnell , J. Richter , C. E. Campbell

Quantum-optical techniques allow for generating controllable spin-spin interactions between ions, making trapped ions an ideal quantum simulator of Heisenberg chains. A single parameter, the detuning of the Raman coupling, allows to switch…

Quantum Gases · Physics 2014-06-04 Tobias Graß , Maciej Lewenstein

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…

Statistical Mechanics · Physics 2015-06-05 Orlando D. Mabelini , Octavio Salmon , J. Ricardo de Sousa

By means of the density matrix renormalization group (DMRG) method, the magnetic properties of the J-J-J$^{\prime}$ quantum Heisenberg chains with spin $S=1/2$, 1, 3/2 and 2 in the ground states are investigated in the presence of a…

Strongly Correlated Electrons · Physics 2009-11-11 Bo Gu , Gang Su , Song Gao

Large quantum simulators, with sufficiently many qubits to be impossible to simulate classically, become hard to experimentally validate. We propose two tests of a quantum simulator with Heisenberg interaction in a linear chain of spins. In…

Quantum Physics · Physics 2017-12-15 Yiping Wang , Minh Cong Tran , Jacob M. Taylor

Through exact diagonalization study of the spin - 1/2 Heisenberg model on Kagome lattice with ring-exchange coupling $J_{r}$, we find the pure Heisenberg model with $J_{r}=0$ stands as a quantum critical point, as evidenced by avoided level…

Strongly Correlated Electrons · Physics 2011-07-01 Tao Li

The combination of optical tweezer arrays with strong interactions -- via dipole-exchange of molecules and van-der-Waals interactions of Rydberg atoms -- has opened the door for the exploration of a wide variety of quantum spin models. A…

We numerically investigate the critical behavior of the spin-(1,1/2) Heisenberg ferrimagnet with anisotropic exchange coupling in a magnetic field. A quantized magnetization plateau as a function of the field, appearing at a third of the…

Statistical Mechanics · Physics 2009-10-31 Toru Sakai , Shoji Yamamoto

The magnetization process of the one-dimensional antiferromagnetic Heisenberg model with the Ising-like anisotropic exchange interaction is studied by the exact diagonalization technique. It results in the evidence of the first-order spin…

Statistical Mechanics · Physics 2009-10-31 Toru Sakai , Minoru Takahashi

We investigate the ground-state and the finite-temperature properties of the bond-random $s=1/2$ Heisenberg model on a square lattice with frustrating nearest- and next-nearest-neighbor antiferromagnetic interactions, $J_1$ and $J_2$, by…

Strongly Correlated Electrons · Physics 2018-10-26 Kazuki Uematsu , Hikaru Kawamura
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