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Related papers: Entanglement analysis of isotropic spin-1 chains

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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

We investigate the formation of spin gap in one-dimensional models characterized by the groups with hidden dynamical symmetries. A family of two-parametric models of isotropic and anisotropic Spin-Rotator Chains characterized by SU(2)x…

Strongly Correlated Electrons · Physics 2009-11-10 M. N. Kiselev , D. N. Aristov , K. Kikoin

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

Antiferromagnetic spin-1 chains host the celebrated symmetry protected topological Haldane phase, whose spin-1/2 edge states were evidenced in bulk by, e.g., Electron Spin Resonance (ESR). Recent success in assembling effective spin-1…

Strongly Correlated Electrons · Physics 2025-12-01 Alfonso Maiellaro , Hervé Aubin , Andrej Mesaros , Pascal Simon

We discuss the existence of a nontrivial topological phase in one-dimensional interacting systems described by the extended Bose-Hubbard model with a mean filling of one boson per site. Performing large-scale density-matrix renormalization…

Quantum Gases · Physics 2014-07-11 Satoshi Ejima , Florian Lange , Holger Fehske

Symmetry-protected topological (SPT) phases are short-range entangled quantum phases with symmetry, which have gapped excitations in the bulk and gapless modes at the edge. In this paper, we study the SPT phases in the spin-1 Heisenberg…

Strongly Correlated Electrons · Physics 2013-05-14 Hsueh-Wen Chang , Yun-Da Hsieh , Ying-Jer Kao

Entanglement spectra (ES) for the critical SU(N) (2 <= N <= 4) spin chains and other integrable models of finite length are studied with the density matrix renormalization group method. For all models under investigation, the level spacings…

Strongly Correlated Electrons · Physics 2016-11-09 Panjin Kim , Hosho Katsura , Nandini Trivedi , Jung Hoon Han

We argue that the $q$-deformed spin-1 AKLT Hamiltonian should be regarded as a representative of a symmetry protected topological phase. Even though it fails to exhibit any of the standard symmetries known to protect the Haldane phase it…

Strongly Correlated Electrons · Physics 2020-09-16 Thomas Quella

Spin chains are among the simplest physical systems in which electron-electron interactions induce novel states of matter. Here we show that the combination of atomic scale engineering and spectroscopic capabilities of state of the art…

Strongly Correlated Electrons · Physics 2014-01-29 F. Delgado , C. D. Batista , J. Fernández-Rossier

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

By performing large-scale density-matrix renormalization group simulations, we investigate a one-dimensional correlated bosonic lattice model with a synthetic spin-orbit coupling realized in recent experiments. In the insulating regime,…

Strongly Correlated Electrons · Physics 2017-01-17 Jize Zhao , Shijie Hu , Ping Zhang

Spontaneous symmetry breaking and more recently entanglement are two cornerstones of quantum matter. We introduce the notion of anisotropic entanglement ordered phases, where the spatial profile of spin-pseudospin entanglement spontaneously…

Mesoscale and Nanoscale Physics · Physics 2024-11-28 Nilotpal Chakraborty , Roderich Moessner , Benoit Doucot

We discuss the characterization and stability of the Haldane phase in integer spin chains on the basis of simple, physical arguments. We find that an odd-$S$ Haldane phase is a topologically non-trivial phase which is protected by any one…

Strongly Correlated Electrons · Physics 2012-03-22 Frank Pollmann , Erez Berg , Ari M. Turner , Masaki Oshikawa

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

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

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…

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

We study the entanglement spectrum of spin-1/2 XXZ ladders both analytically and numerically. Our analytical approach is based on perturbation theory starting either from the limit of strong rung coupling, or from the opposite case of…

Strongly Correlated Electrons · Physics 2012-02-23 Andreas M. Läuchli , John Schliemann

We study a bipartite collective spin-$1$ model with exchange interaction between the spins. The bipartite nature of the model manifests itself by the spins being divided into two equal-sized subsystems; within each subsystem the spin-spin…

Statistical Mechanics · Physics 2021-07-07 Dávid Jakab , Zoltán Zimborás

Symmetry protected topological phases of one-dimensional spin systems have been classified using group cohomology. In this paper, we revisit this problem for general spin chains which are invariant under a continuous on-site symmetry group…

Strongly Correlated Electrons · Physics 2013-04-10 Kasper Duivenvoorden , Thomas Quella