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Related papers: Spin-Peierls transition to a Haldane phase

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We extend previous analytical studies of the ground-state phase diagram of a one-dimensional Heisenberg spin chain coupled to optical phonons, which for increasing spin-lattice coupling undergoes a quantum phase transition from a gap-less…

Strongly Correlated Electrons · Physics 2007-07-12 Georg Hager , Alexander Weisse , Gerhard Wellein , Eric Jeckelmann , Holger Fehske

We calculate the excitation spectrum and spectral weights of the alternating antiferromagnetic-ferromagnetic spin-half Heisenberg chain with exchange couplings $J$ and $-|\lambda|J$ as a power series in $\lambda$. For small $|\lambda|$, the…

Strongly Correlated Electrons · Physics 2007-05-23 Weihong Zheng , Chris Hamer , Rajiv Singh

Motivated by recent experiments on quasi-1D vanadium oxides, we study quantum phase transitions in a one-dimensional spin-orbital model describing a Haldane chain and a classical Ising chain locally coupled by the relativistic spin-orbit…

Strongly Correlated Electrons · Physics 2011-06-07 Alexander Nersesyan , Gia-Wei Chern , Natalia B. Perkins

The ground states of two types of distorted mixed diamond chains with spins 1 and 1/2 are investigated using exact diagonalization, DMRG, and mapping onto low-energy effective models. In the undistorted case, the ground state consists of an…

Strongly Correlated Electrons · Physics 2010-11-11 Kazuo Hida , Ken'ichi Takano , Hidenori Suzuki

We study disordered spin-1 quantum chains with random exchange and biquadratic interactions using a real space renormalization group approach. We find that the dimerized phase of the pure biquadratic model is unstable and gives rise to a…

Condensed Matter · Physics 2009-10-28 Beatriz Boechat , Andreia Saguia , Mucio Continentino

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 antiferromagnetic spin-one chain is considerably one of the most fundamental quantum many-body systems, with symmetry protected topological order in the ground state. Here, we present results for its dynamical spin structure factor at…

Strongly Correlated Electrons · Physics 2017-08-09 Jonas Becker , Thomas Köhler , Alexander C. Tiegel , Salvatore R. Manmana , Stefan Wessel , Andreas Honecker

Magnetic nanographenes are emerging as versatile building blocks for artificial spin lattices, enabling the exploration of flagship one-dimensional quantum-magnetism models with unprecedented control. The spin-1 Heisenberg model, including…

Mesoscale and Nanoscale Physics · Physics 2026-05-05 João C. G. Henriques , Yelko del Castillo , Ricardo Segundo , Jan Phillips , Joaquín Fernández-Rossier

We introduce a strategy to write down lattice models of spin rotational symmetric Hamiltonians with arbitrary spin-$S$ that are Marshall positive and can be simulated efficiently using world line Monte Carlo methods. As an application of…

Strongly Correlated Electrons · Physics 2019-10-01 Nisheeta Desai , Ribhu K. Kaul

Inelastic neutron scattering was used to probe edge states in a quantum spin liquid. The experiment was performed on finite length antiferromagnetic spin-1 chains in Y_2BaNi_{1-x}Mg_xO_5. At finite fields, there is a Zeeman resonance below…

Strongly Correlated Electrons · Physics 2009-11-07 M. Kenzelmann , G. Xu , I. A. Zaliznyak , C. Broholm , J. F. DiTusa , G. Aeppli , T. Ito , K. Oka , H. Takagi

We study the interplay of topological band structure and conventional magnetic long-range order in spinful Haldane model with onsite repulsive interaction. Using the dynamical cluster approximation with clusters of up to 24 sites we find…

Strongly Correlated Electrons · Physics 2016-07-07 Jakub Imriška , Lei Wang , Matthias Troyer

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

In a recent Letter (PRL 83, 3297 (1999)), Hida presented numerical results indicating that the Haldane phase of the Heisenberg antiferromagnetic spin-1 chain is stable against bond randomness, for box distributions of the bond strength,…

Strongly Correlated Electrons · Physics 2009-10-31 Kun Yang , R. A. Hyman

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

The Haldane phase represents one of the most important symmetry protected states in modern physics. This state can be realized using spin-1 and spin-${1\over 2}$ Heisenberg models and bosonic particles. Here we explore the emergent Haldane…

Strongly Correlated Electrons · Physics 2019-10-09 Shun-Yao Zhang , Hong-Ze Xu , Yue-Xin Huang , Guang-Can Guo , Zheng-Wei Zhou , Ming Gong

Motivated by the rich phase diagrams recently unveiled in frustrated spin-1 chains with competing next-nearest neighbour and four-spin interactions, we investigate the nature of the elementary excitations of spin-1 chains in the vicinity of…

Strongly Correlated Electrons · Physics 2022-06-09 Laurens Vanderstraeten , Elisabeth Wybo , Natalia Chepiga , Frank Verstraete , Frédéric Mila

A single organic spin platform hosts both dimerized $S=\tfrac{1}{2}$ and effective Haldane $S=1$ sectors, linked by bond-texture inversion. At the junction, the fractional mode is controlled by termination parity: quenched by local fusion…

Strongly Correlated Electrons · Physics 2026-04-22 Khalid N. Anindya , Hong Guo

The ground state of spin-1 Haldane chains is characterized by the so-called string order. We show that the same hidden order is also present in ordinary one-dimensional band insulators. We construct a family of Hamiltonians which connects…

Strongly Correlated Electrons · Physics 2013-05-29 F. Anfuso , A. Rosch

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

Recent theoretical studies raised the possibility of a realization of spin nematic states in the S=1 triangular lattice compound NiGa_2S_4. We study the bilinear-biquadratic spin 1 chain in a zig-zag geometry by means of the density matrix…

Strongly Correlated Electrons · Physics 2008-01-21 Philippe Corboz , Andreas M. Laeuchli , Keisuke Totsuka , Hirokazu Tsunetsugu