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We use a tensor network strong-disorder renormalization group (tSDRG) method to study spin-1 random Heisenberg antiferromagnetic chains. The ground state of the clean spin-1 Heisenberg chain with uniform nearest-neighbor couplings is a…

Disordered Systems and Neural Networks · Physics 2020-04-22 Zheng-Lin Tsai , Pochung Chen , Yu-Cheng Lin

We use the matrix product approach to construct all optimum ground states of general anisotropic spin-2 chains with nearest neighbour interactions and common symmetries. These states are exact ground states of the model and their properties…

Strongly Correlated Electrons · Physics 2009-11-07 M. A. Ahrens , A. Schadschneider , J. Zittartz

We study the frustrated and dimerized ferromagnetic-antiferromagnetic $J_1$-$J_1'$-$J_2$ chain using the density-matrix renormalization group (DMRG) method. Based on numerical calculations of the second derivative of energy, spin gap,…

Strongly Correlated Electrons · Physics 2023-11-10 Jędrzej Wardyn , Satoshi Nishimoto , Cliò Efthimia Agrapidis

The effects of spin-1 impurities introduced in dimerized antiferromagnetic spin chains are studied using Lanczos diagonalization and quantum Monte Carlo simulations. Firstly, the magnitude of the interaction between a Ni-ion replacing a…

Strongly Correlated Electrons · Physics 2009-10-30 P. M. Hansen , J. A. Riera , A. Delia , E. Dagotto

We study the $S>1/2$ antiferromagnetic Heisenberg model on the 1/5-depleted square lattice as a function of the ratio of the intra-plaquette coupling to the inter-plaquette coupling. Using stochastic series expansion quantum Monte Carlo…

Strongly Correlated Electrons · Physics 2022-09-08 Jun-Han Huang , Zenan Liu , Han-Qing Wu , Dao-Xin Yao

We study ground state properties of the $S=2$ quantum antiferromagnetic chain with a uniaxially anisotropic Hamiltonian: $ H = \sum_{j} [S_{j} \cdot S_{j+1} + D (S^{z}_{j})^2 ] $ by a Monte Carlo calculation. While it has been reported that…

Condensed Matter · Physics 2016-08-31 M. Oshikawa , M. Yamanaka , S. Miyashita

The Hida model, defined on honeycomb lattice, is a spin-1/2 Heisenberg model of aniferromagnetic hexagons (with nearest-neighbor interaction, $J_A>0$) coupled via ferromagnetic bonds (with exchange interaction, $J_F <0$). It applies to the…

Strongly Correlated Electrons · Physics 2018-01-24 Pratyay Ghosh , Brijesh Kumar

A recent article [Phys. Rev. X 15, 011047 (2025)] utilizes group-equivariant convolutional neural networks to study the ground state of the kagome Heisenberg antiferromagnet. On the largest finite-size cluster studied to date ($N=108$), the…

Strongly Correlated Electrons · Physics 2026-05-29 Helia Kamal , Dominik Kufel , DinhDuy Vu , Chris R. Laumann , Norman Y. Yao

We study the three-body problem for three atomic fermions, in the same spin state, experiencing a resonant interaction in the p-wave channel via a Feshbach resonance represented by a two-channel model. The rate of inelastic processes due to…

Other Condensed Matter · Physics 2009-11-13 Mattia Jona-Lasinio , Ludovic Pricoupenko , Yvan Castin

We study the ground state properties of the bond alternating $S=1/2$ quantum spin chain whose Hamiltonian is H=\sum_j (S_{2j}^x S_{2j+1}^x +S_{2j}^y S_{2j+1}^y +\lambda S_{2j}^z S_{2j+1}^z ) +\beta \sum_j {\bf S}_{2j-1} \cdot {\bf S}_{2j} .…

Condensed Matter · Physics 2009-10-22 M. Yamanaka , Y. Hatsugai , M. Kohmoto

Motivated by recent work on Heisenberg antiferromagnetic spin systems on various lattices made up of triangles, we examine the low-energy properties of a chain of antiferromagnetically coupled triangles of half-odd-integer spins. We derive…

Strongly Correlated Electrons · Physics 2009-10-31 C. Raghu , Indranil Rudra , S. Ramasesha , Diptiman Sen

Quantum phase transition in dimerized antiferromagnetic Heisenberg spin chain has been studied. A staircase structure in the variation of concurrence within strongly coupled pairs with that of external magnetic field has been observed…

Quantum Physics · Physics 2015-03-31 Aparajita Das , Sreeparna Bhadra , Sonali Saha

We investigate the ground state density distributions of anti-ferromagnetic spin-1 Bose gases in one dimensional harmonic potential in the full interacting regimes. The ground state is obtained by diagonalizing the Hamiltonian in the…

Quantum Gases · Physics 2016-06-22 Yajiang Hao

The generation of nonuniform quadrupole states plays a crucial role in understanding various fascinating phenomena observed in the advancement of several research areas, e.g., multiferroic compounds, nonmagnetic superconductors, etc. In…

Strongly Correlated Electrons · Physics 2023-11-15 Jie Chen , Shijie Hu , Lihui Pan , Xiaoqun Wang

We consider the one dimensional, periodic spin chain with $N$ sites, similar to the one studied by Haldane \cite{hal}, however in the opposite limit of very large anisotropy and small nearest neighbour, anti-ferromagnetic exchange coupling…

Strongly Correlated Electrons · Physics 2015-06-19 S. A. Owerre , M. B. Paranjape

We investigate frustrated antiferromagnetic Heisenberg quantum spin chains at T=0 for S=3/2 and S=2 using the DMRG method. We localize disorder and Lifshitz points, confirming that quantum disorder points can be seen as quantum remnants of…

Condensed Matter · Physics 2009-10-31 R. Roth , U. Schollwoeck

We use the two-step density-matrix renormalization group method to study the effects of frustration in Heisenberg models for $S=1/2$ to S=4 in a two-dimensional anisotropic lattice. We find that as in $S=1/2$ studied previously, the system…

Strongly Correlated Electrons · Physics 2009-11-11 S. Moukouri

We study the occurrence of ground-state factorization in dimerized $XY$ spin chains in a transverse field. Together with the usual ferromagnetic and antiferromagnetic regimes, a third case emerges, with no analogous in…

Other Condensed Matter · Physics 2009-02-16 Gian Luca Giorgi

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;…

Strongly Correlated Electrons · Physics 2021-06-23 Takafumi Suzuki , Takuto Yamada , Sei-ichiro Suga

To begin with, we introduce several exact models for SU(3) spin chains: (1) a translationally invariant parent Hamiltonian involving four-site interactions for the trimer chain, with a three-fold degenerate ground state. We provide…

Strongly Correlated Electrons · Physics 2009-11-13 Martin Greiter , Stephan Rachel