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The $s=1/2$ chain-boundary excitations occurring in the Haldane phaseof $s=1$ antiferromagnetic spin chains are investigated. The bilinear-biquadratic hamiltonian is used to study these excitations as a function of the strength of the…

强关联电子 · 物理学 2009-10-31 E. Polizzi , F. Mila , E. S. Sorensen

A simple and efficient method for calculating the ground state for a class of antiferromagnet systems is presented. It combines the valence bond structure of the ground state for this class of systems and real space renormalization group.…

强关联电子 · 物理学 2007-05-23 E. Rico

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…

强关联电子 · 物理学 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 a strong coupling expansion of the $\nu=1/3$ fractional quantum Hall state away from the Tao-Thouless limit and show that the leading quantum fluctuations lead to an effective spin-1 Hamiltonian that lacks parity symmetry. By…

强关联电子 · 物理学 2015-03-13 Masaaki Nakamura , Emil J. Bergholtz , Juha Suorsa

The Haldane phase is the prototype of symmetry protected topological (SPT) phases of spin chain systems. It can be protected by several symmetries having in common the degeneracy of the entanglement spectrum. Here we explore in depth this…

The ground state of the uniform antiferromagnetic spin-1/2 Heisenberg chain can be viewed as a strongly fluctuating liquid of valence bonds, while in disordered chains these bonds lock into random singlet states on long length scales. We…

无序系统与神经网络 · 物理学 2011-10-18 Huan Tran , N. E. Bonesteel

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…

凝聚态物理 · 物理学 2009-10-28 Beatriz Boechat , Andreia Saguia , Mucio Continentino

We study the ground-state phase diagram of a spin-1 Heisenberg chain with staggered long-range (LR) interactions decaying as $\propto r^{-\alpha}$ using a quantum Monte Carlo approach based on the split-spin representation. This formulation…

强关联电子 · 物理学 2026-04-23 Justin Tim-Lok Chau , Jiarui Zhao , Nicolas Laflorencie , Zi Yang Meng

We study the spin $S=1$ Heisenberg chain, with nearest neighbor, next nearest neighbor ($\alpha$) and biquadratic ($\beta$) interactions using a combination of the density matrix renormalization group (DMRG), an analytic variational matrix…

强关联电子 · 物理学 2015-01-28 J. H. Pixley , Aditya Shashi , Andriy H. Nevidomskyy

Single-spin measurements on the ground state of an interacting spin lattice can be used to perform a quantum computation. We show how such measurements can mimic renormalization group transformations and remove the short-ranged variations…

量子物理 · 物理学 2014-11-20 Stephen D. Bartlett , Gavin K. Brennen , Akimasa Miyake , Joseph M. Renes

Fractionalization of quantum degrees of freedom holds the key to finding new phenomena in physics, e.g., the quark model in hadron physics, the spin-charge separation in strongly-correlated electron systems, and the fractional quantum Hall…

强关联电子 · 物理学 2023-10-18 Takanori Sugimoto , Takami Tohyama

The spin excitation continuum, expected to dominate the low-energy fluctuation spectrum in the Haldane spin chain around the Brillouin zone center, q=0, is directly observed by inelastic magnetic neutron scattering in the S=1 quasi-1D…

强关联电子 · 物理学 2010-07-28 I. A. Zaliznyak , S. -H. Lee , S. V. Petrov

The effect of bond randomness on the spin-gapped ground state of the spin-1 bond-alternating antiferromagnetic Heisenberg chain is discussed. By using the loop cluster quantum Monte Carlo method, we investigate the stability of topological…

无序系统与神经网络 · 物理学 2007-05-23 Takayuki Arakawa , Synge Todo , Hajime Takayama

We study the S=1 quantum spin chains with bilinear, biquadratic, plus bond alternation in the vicinity of the S=1 Takhtajan-Babujian model. Transition line between the Haldane and the dimer phases are determined numerically. To see the…

统计力学 · 物理学 2009-10-31 Atsuhiro Kitazawa , Kiyohide Nomura

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…

Spontaneous time-reversal symmetry breaking in superconductors with competing non-degenerate pairing channels is an exotic quantum phase transition that could give rise to robust topological superconductivity and unusual magnetism. It is…

超导电性 · 物理学 2026-04-03 Yin Shi

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} .…

凝聚态物理 · 物理学 2009-10-22 M. Yamanaka , Y. Hatsugai , M. Kohmoto

We investigate entanglement spectra of the SO(3) bilinear-biquadratic spin-1 chain, a model with phases exhibiting spontaneous symmetry breaking (both translation and spin rotation), points of enlarged symmetry, and a symmetry-protected…

强关联电子 · 物理学 2015-09-29 Ronny Thomale , Stephan Rachel , B. Andrei Bernevig , Daniel P. Arovas

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…

强关联电子 · 物理学 2020-10-19 Moritz Binder , Thomas Barthel

By using Lanczos exact diagonalization and quantum Monte Carlo combined with stochastic analytic continuation, we study the dynamical properties of the $S=1$ antiferromagnetic Heisenberg chain with different strengths of bond disorder. In…

强关联电子 · 物理学 2021-12-23 Jing-Kai Fang , Jun-Han Huang , Han-Qing Wu , Dao-Xin Yao
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