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We revisit the momentum-resolved entanglement spectrum (ES) of the spin-1/2 ladder in the Haldane phase, long believed to exhibit a des Cloizeaux-Pearson (dCP)-type $\sin|k|$ dispersion. Using exact diagonalization up to 40 spins, we…

Strongly Correlated Electrons · Physics 2025-09-05 Yu-Chin Tzeng , Gunnar Möller

The Heisenberg model for spin-1 bosons in one dimension presents many different quantum phases including the famous topological Haldane phase. Here we study the robustness of such phases in front of a SU(2) symmetry breaking field as well…

Quantum Gases · Physics 2011-09-30 G. De Chiara , M. Lewenstein , A. Sanpera

Using an asymptotically exact real space renormalization procedure, we find that the Heisenberg antiferromagnetic spin-1 chain undergoes an impurity driven second order phase transition from the Haldane phase to the random singlet phase, as…

Condensed Matter · Physics 2016-08-31 R. A. Hyman , Kun Yang

Using a matrix product state algorithm with infinite boundary conditions, we compute high-resolution dynamic spin and quadrupolar structure factors in the thermodynamic limit to explore the low-energy excitations of isotropic…

Strongly Correlated Electrons · Physics 2020-10-19 Moritz Binder , Thomas Barthel

The phase diagram of the spin-1 bond-alternating XXZ chain is studied numerically. This model is appropriate to study the VBS picture and the hidden Z_2\times Z_2 symmetry concerning to the Haldane gap problem. The possible phases are the…

Strongly Correlated Electrons · Physics 2008-02-03 Atsuhiro Kitazawa , Kiyohide Nomura

We applied the Density Matrix Renormalization Group to the XXZ spin-1 quantum chain. In studing this model we aim to clarify controversials about the point where the massive Haldane phase appears.

Condensed Matter · Physics 2009-10-28 A. L. Malvezzi , F. C. Alcaraz

We reexamine the one-dimensional spin-1 $XXZ$ model with on-site uniaxial single-ion anisotropy as to the appearance and characterization of the symmetry-protected topological Haldane phase. By means of large-scale density-matrix…

Strongly Correlated Electrons · Physics 2015-01-20 Satoshi Ejima , Holger Fehske

The spin-1 Haldane chain is an example of the symmetry-protected-topological (SPT) phase in one dimension. Experimental realization of the spin chain materials usually involves both the uniaxial-type, $D(S^z)^2$, and the rhombic-type,…

Strongly Correlated Electrons · Physics 2017-11-30 Yu-Chin Tzeng , Hiroaki Onishi , Tsuyoshi Okubo , Ying-Jer Kao

Infinite projected entangled pair states simulations of the $S=1$ bilinear-biquadratic Heisenberg model on the square lattice reveal an emergent Haldane phase in between the previously predicted antiferromagnetic and 3-sublattice…

Strongly Correlated Electrons · Physics 2017-05-31 Ido Niesen , Philippe Corboz

In this work, we study the magnetic phases of a spatially-modulated chain of spin-1 Rydberg excitons. Using the Density Matrix Renormalization Group (DMRG) technique we study various magnetic and topologically nontrivial phases using both…

Materials Science · Physics 2022-12-20 Manas Sajjan , Hadiseh Alaeian , Sabre Kais

Phase diagram of S=1 XXZ chain in a staggered magnetic field is obtained numerically. The Berezinskii-Kosterlitz-Thouless transition between the XY and the antiferromagnetic phases is studied by the level-spectroscopy. Moreover we find that…

Statistical Mechanics · Physics 2009-10-30 Masayoshi Tsukano , Kiyohide Nomura

We report an extremely rich ground state phase diagram of two spin-1 Haldane chains frustrated with a three-site exchange and coupled by the antiferromagnetic Heisenberg interaction on a zig-zag ladder. A particular feature of the phase…

Strongly Correlated Electrons · Physics 2026-05-07 Bowy M. La Rivière , Natalia Chepiga

We study a spin-1/2 XXZ model with a four-spin interaction on a two-leg ladder. By means of effective field theory and matrix product state calculations, we obtain rich ground-state phase diagrams that consist of eight distinct gapped…

Strongly Correlated Electrons · Physics 2021-08-25 Takuhiro Ogino , Shunsuke Furukawa , Ryui Kaneko , Satoshi Morita , Naoki Kawashima

Topology in quantum many-body systems has profoundly changed our understanding of quantum phases of matter. The paradigmatic model that has played an instrumental role in elucidating these effects is the antiferromagnetic spin-1 Haldane…

We use linked-cluster expansions to analyze the quantum phase transitions between symmetry unbroken trivial and topological Haldane phases in two different spin-one chains. The first model is the spin-one Heisenberg chain in the presence of…

Strongly Correlated Electrons · Physics 2017-12-20 P. Adelhardt , J. Gritsch , M. Hille , D. A. Reiss , K. P. Schmidt

We review the basic properties of the Haldane phase in spin-1 Heisenberg antiferromagnetic chains, including its persistence in quasi-one-dimensional geometries. Using large-scale numerical simulations, we map out the phase diagram for a…

Strongly Correlated Electrons · Physics 2015-01-05 Keola Wierschem , Pinaki Sengupta

We consider a quasi-one-dimensional system of spin-1 Heisenberg antiferromagnetic chains in 2D and 3D hypercubic lattices with interchain coupling $J$ and uniaxial single-ion anisotropy $D$. Using large scale numerical simulations, we map…

Strongly Correlated Electrons · Physics 2014-06-24 Keola Wierschem , Pinaki Sengupta

We present an organic compound exhibiting a spin-Peierls (SP) transition to an effective spin-1 antiferromagnetic uniform chain, that is, the Haldane chain. The clear disappearance of magnetization, accompanied by a structural phase…

Strongly Correlated Electrons · Physics 2023-04-28 Hironori Yamaguchi , Hiroki Takahashi , Takashi Kawakami , Kiyomi Okamoto , Toru Sakai , Takeshi Yajima , Yoshiki Iwasaki

Improving matrix-product state techniques based on the purification of the density matrix, we are able to accurately calculate the finite-temperature dynamic response of the infinite spin-1 XXZ chain with single-ion anisotropy in the…

Strongly Correlated Electrons · Physics 2018-02-21 Florian Lange , Satoshi Ejima , Holger Fehske

The Haldane-Hubbard model is a prime example of the combined effects of band topology and electronic interaction. We revisit its spinful phase diagram at half-filling as a consensus on the presence of SU($2$) symmetry is currently lacking.…

Strongly Correlated Electrons · Physics 2024-01-17 Wan-Xiu He , Rubem Mondaini , Hong-Gang Luo , Xiaoqun Wang , Shijie Hu
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