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Related papers: Low-energy physics of isotropic spin-1 chains in t…

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The mixed spin-1 and spin-1/2 Heisenberg octahedral chain with regularly alternating monomeric spin-1 sites and square-plaquette spin-1/2 sites is investigated using variational technique, localized-magnon approach, exact diagonalization…

Statistical Mechanics · Physics 2020-07-06 Katarina Karlova , Jozef Strecka , Taras Verkholyak

Quantum phase transitions induced by an external magnetic field in the Haldane-gapped spin-1 chains are studied in a fermionic field-theoretic description of the model. In the case with broken axial symmetry, two transitions occurs…

Strongly Correlated Electrons · Physics 2007-05-23 Y. -J. Wang

Here we study the emergence of different Symmetry-Protected Topological (SPT) phases in a spin-2 quantum chain. We consider a Heisenberg-like model with bilinear, biquadratic, bicubic, and biquartic nearest-neighbor interactions, as well as…

Strongly Correlated Electrons · Physics 2015-05-20 Augustine Kshetrimayum , Hong-Hao Tu , Roman Orus

Inelastic neutron scattering experiments on the Haldane-gap quantum antiferromagnet \nd are performed at mK temperatures in magnetic fields of almost twice the critical field $H_c$ applied perpendicular to the spin cahins. Above $H_c$ a…

Strongly Correlated Electrons · Physics 2009-11-10 A. Zheludev , Z. Honda , C. Broholm , K. Katsumata , S. M. shapiro , A. Kolezhuk , S. Park , Y. Qiu

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

We consider the one-dimensional spin chain for arbitrary spin $s$ on a periodic chain with $N$ sites, the generalization of the chain that was studied by Blume and Capel \cite{bc}: $$H=\sum_{i=1}^N \left(a (S^z_i)^2+ b…

Strongly Correlated Electrons · Physics 2016-01-26 Christian Boudreault , S. A. Owerre , M. B. Paranjape

Starting from a Calogero--Sutherland model with hyperbolic interaction confined by an external field with Morse potential we construct a Heisenberg spin chain with exchange interaction $\propto 1/\sinh^2 x$ on a lattice given in terms of…

Condensed Matter · Physics 2017-01-18 Holger Frahm , Vladimir I. Inozemtsev

We study both the static and dynamic properties of gapped, one-dimensional, Heisenberg, anti-ferromagnetic, spin chains at finite temperature through an analysis of the O(3) non-linear sigma model. Exploiting the integrability of this…

Strongly Correlated Electrons · Physics 2013-05-29 Robert M. Konik

We consider the isotropic $S=1$ Heisenberg chain with a finite Haldane gap $\Delta$ and use state-of-the-art numerical techniques to investigate its dynamical properties at finite temperature, focusing on the nuclear spin-lattice relaxation…

Strongly Correlated Electrons · Physics 2019-09-19 Sylvain Capponi , Maxime Dupont , Anders W. Sandvik , Pinaki Sengupta

A bosonized-field-theory representation of spin operators in the uniform-field-induced Tomonaga-Luttinger-liquid (TLL) phase in spin-1 Haldane chains is formulated by means of the non-Abelian (Tsvelik's Majorana fermion theory) and the…

Strongly Correlated Electrons · Physics 2007-05-23 Masahiro Sato

In a previous paper [Phys. Rev. B 85,195144 (2012)], variational Monte Carlo method (based on Gutzwiller projected states) was generalized to $S=1$ systems. This method provided very good trial ground states for the gapped phases of $S=1$…

Strongly Correlated Electrons · Physics 2014-08-18 Zheng-Xin Liu , Yi Zhou , Tai-Kai Ng

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…

Strongly Correlated Electrons · Physics 2021-12-23 Jing-Kai Fang , Jun-Han Huang , Han-Qing Wu , Dao-Xin Yao

Inelastic neutron scattering experiments on the S=1 quasi-one-dimensional bond-alternating antiferromagnet Ni(C9D24N4)(NO2)ClO4 have been performed under magnetic fields below and above a critical field Hc at which the energy gap closes.…

Strongly Correlated Electrons · Physics 2007-05-23 M. Hagiwara , L. P. Regnault , A. Zheludev , A. Stunault , N. Metoki , T. Suzuki , S. Suga , K. Kakurai , Y. Koike , P. Vorderwisch , J. H. Chung

We investigate critical phenomena of a spin-1 chain in the vicinity of the SU(3) symmetric critical point, which we already specified in the previous study. We numerically diagonalize a Hamiltonian combining the bilinear-biquadratic (BLBQ)…

Statistical Mechanics · Physics 2023-03-29 Tohru Mashiko , Kiyohide Nomura

Investigating quantum fluctuations in the ground states of S=1 quantum antiferromagnetic spin chains described by the bilinear-biquadratic Hamiltonian, we study a mechanism of the breakdown of the Haldane phase. Based on the…

Statistical Mechanics · Physics 2007-05-23 Shoji Yamamoto

Dysprosium atoms have proven to be a promising platform for quantum simulation due to their strong magnetic moment and high tunability of interactions. In this work, we propose Dysprosium atoms for simulating the one-dimensional spin-1…

Quantum Physics · Physics 2025-04-14 Katharina Brechtelsbauer , Johannes Mögerle , Hans Peter Büchler

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

Motivated by Mo$_3$S$_7$(dmit)$_3$, we investigate the Hubbard model on the triangular necklace lattice at two-thirds filling. We show, using second order perturbation theory, that in the molecular limit, the ground state and the low energy…

Strongly Correlated Electrons · Physics 2019-03-06 C. Janani , J. Merino , I. P. McCulloch , B. J. Powell

Low-dimensional quantum systems host a variety of exotic states, such as symmetry-protected topological ground states in spin-1 Haldane chains. Real-world realizations of such states could serve as practical quantum simulators for quantum…

Strongly Correlated Electrons · Physics 2025-12-05 Yasser Saleem , Weronika Pasek , Marek Korkusinski , Moritz Cygorek , Pawel Potasz

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