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Related papers: Refined Phase Diagram for a Spin-1 System Exhibiti…

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For the Haldane phase, the magnetic field usually tends to break the symmetry and drives the system into a topologically trivial phase. Here, we report a novel reentrance of the Haldane phase at zero temperature in the spin-1…

Strongly Correlated Electrons · Physics 2020-02-05 Yuan Yang , Shi-Ju Ran , Xi Chen , Zhengzhi Sun , Shou-Shu Gong , Zhengchuan Wang , Gang Su

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

One dimensional spin 1 systems may have a rich phase diagram including Haldane gap and dimerized phases if the usually very small biquadratic exchange becomes significant. We show that this unlikely condition may be fulfilled in electron…

Strongly Correlated Electrons · Physics 2009-10-31 Frederic Mila , Fu-Chun Zhang

It has been shown recently that inhomogenous spin chains can exhibit exotic phenomena such as the breaking of the area law of the entanglement entropy. An example is given by the rainbow model where the exchange coupling constants decrease…

Strongly Correlated Electrons · Physics 2022-11-17 Nadir Samos Sáenz de Buruaga , Silvia N. Santalla , Javier Rodríguez-Laguna , Germán Sierra

A Haldane conjecture is revealed for spin-singlet charge modes in 2N-component fermionic cold atoms loaded into a one-dimensional optical lattice. By means of a low-energy approach and DMRG calculations, we show the emergence of gapless and…

Strongly Correlated Electrons · Physics 2010-01-25 H. Nonne , P. Lecheminant , S. Capponi , G. Roux , E. Boulat

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 antiferromagnetic Heisenberg spin chain of odd spin $S$ is in the Haldane phase with several defining physical properties, such as thermodynamical ground-state degeneracy, symmetry-protected edge states, and nonzero string order…

Strongly Correlated Electrons · Physics 2014-07-11 Qing-Rui Wang , Peng Ye

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

The Haldane phase with local SU(3) adjoint representation constitutes the simplest non-trivial symmetry-protected topological phases in the SU($N>2$) Heisenberg spin chains. In this paper, we propose to realize this phase by a two-species…

Quantum Gases · Physics 2026-01-23 Junjun Xu

The Haldane state is a typical quantum and topological state of matter, which exhibits an edge state corresponding to symmetry-protected topological order in a one-dimensional integer spin chain. This edge state can be utilized for a…

Strongly Correlated Electrons · Physics 2020-07-08 Takanori Sugimoto , Katsuhiro Morita , Takami Tohyama

We construct a physically realistic and analytically tractable model for spin-1 systems with orbital degeneracy on the honeycomb lattice, relevant to honeycomb materials with large Hund's and weak spin-orbit couplings, and two electrons in…

Strongly Correlated Electrons · Physics 2026-04-01 Lucile Savary

The realization of novel phases of matter on quantum simulators is a topic of intense interest. Digital quantum computers offer a route to prepare topological phases with interactions that do not naturally arise in analog quantum…

A large number of symmetry-protected topological (SPT) phases have been hypothesized for strongly interacting spin-1/2 systems in one dimension. Realizing these SPT phases, however, often demands fine-tunings hard to reach experimentally.…

Quantum Gases · Physics 2019-05-21 Haiyuan Zou , Erhai Zhao , Xi-Wen Guan , W. Vincent Liu

We propose a metrology scheme that is made robust to a wide range of noise processes by using the passive, error-preventing properties of symmetry-protected topological phases. The so-called fractionalized edge mode of an antiferromagnetic…

Quantum Physics · Physics 2018-01-04 Stephen D. Bartlett , Gavin K. Brennen , Akimasa Miyake

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 study different quantum phases in integer spin systems with on-site D2h=D2xZ2 and translation symmetry. We find four distinct non-trivial phases in S=1 spin chains despite they all have the same symmetry. All the four phases have gapped…

Strongly Correlated Electrons · Physics 2011-08-16 Zheng-Xin Liu , Min Liu , Xiao-Gang Wen

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 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…

Strongly Correlated Electrons · Physics 2026-04-23 Justin Tim-Lok Chau , Jiarui Zhao , Nicolas Laflorencie , Zi Yang Meng

Frustrated one-dimensional quantum spin systems are known to exhibit a variety of quantum ground states due to the effects of quantum fluctuations and frustrations. In a spin-1/2 kagome-strip chain, which is one of the frustrated…

Strongly Correlated Electrons · Physics 2021-12-15 Katsuhiro Morita , Shigetoshi Sota , Takami Tohyama

The nature of symmetry-protected topological phases of Heisenberg spin chains in totally symmetric representations of rank N of the SU(N) group is investigated through a Majorana fermion study starting from an integrable point. The latter…

Strongly Correlated Electrons · Physics 2020-09-16 Pierre Fromholz , Philippe Lecheminant