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Related papers: All spin-1 topological phases in a single spin-2 c…

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We systematically investigate the stability of the symmetry-protected topological (SPT) Haldane phase in spin-1/2 Heisenberg and half-filled Hubbard ladders coupled by ferromagnetic Hund's interactions. Using density-matrix renormalization…

Strongly Correlated Electrons · Physics 2025-10-15 Satoshi Nishimoto

We report that a spin-1/2 tetrahedral Heisenberg chain realizes a gapless symmetry-protected topological (gSPT) phase characterized by the coexistence of the Tomonaga-Luttinger-liquid criticality due to chirality degrees of freedom and the…

Strongly Correlated Electrons · Physics 2022-07-07 Shunsuke C. Furuya , Katsuhiro Morita

We study a Kagome-like spin-$1/2$ Heisenberg ladder with competing ferromagnetic (FM) and antiferromagnetic (AFM) exchange interactions. Using the density-matrix renormalization group based calculations, we obtain the ground state phase…

Strongly Correlated Electrons · Physics 2021-05-13 Tomoki Yamaguchi , Yukinori Ohta , Satoshi Nishimoto

We theoretically explore the possibility of realizing the symmetry-protected topological Haldane phase of spin-1 chains in a tunable hybrid platform of superconducting islands (SIs) and quantum dots (QDs). Inspired by recent findings…

Mesoscale and Nanoscale Physics · Physics 2024-08-05 Virgil V. Baran , Jens Paaske

Gap-protected topological channels are a promising way to realize robust and high-fidelity state transfer in quantum networks. Although various topological transfer protocols based on the Su-Schrieffer-Heeger model or its variants have been…

Quantum Physics · Physics 2025-06-10 Tian Tian

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 phase transition occurring in a square 2-D spin lattice governed by an anisotropic Heisenberg Hamiltonian has been studied according to two recently proposed methods. The first one, the Dressed Cluster Method, provides excellent…

Strongly Correlated Electrons · Physics 2007-05-23 Mohamad Al Hajj , Nathalie Guihery , Jean-Paul Malrieu , Peter Wind

We consider two different collective spin systems subjected to strong dissipation -- on the same scale as interaction strengths and external fields -- and show that either continuous or discontinuous dissipative quantum phase transitions…

Quantum Physics · Physics 2008-09-23 S. Morrison , A. S. Parkins

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

We develop a theoretical framework for the classification and construction of symmetry protected topological (SPT) phases, which are a special class of zero-temperature phases of strongly interacting gapped quantum many-body systems that…

Strongly Correlated Electrons · Physics 2019-06-10 Charles Zhaoxi Xiong

In quantum spin-1 chains, there is a nonlocal unitary transformation known as the Kennedy-Tasaki transformation $U_{\text{KT}}$, which defines a duality between the Haldane phase and the $\mathbb{Z}_2 \times \mathbb{Z}_2$ symmetry-breaking…

Strongly Correlated Electrons · Physics 2023-03-30 Hong Yang , Linhao Li , Kouichi Okunishi , Hosho Katsura

We investigate the properties of a three-leg quantum spin tube using several techniques such as the density matrix renormalization group method, strong coupling approaches and the non linear sigma model. For integer spins S, the model…

Strongly Correlated Electrons · Physics 2011-03-01 D. Charrier , S. Capponi , M. Oshikawa , P. Pujol

Symmetry-protected topological $\left(SPT\right)$ phases are gapped short-range entangled states with symmetry $G$, which can be systematically described by group cohomology theory. $SU(3)$ and $SU(2)\times{U(1)}$ are considered as the…

Other Condensed Matter · Physics 2021-01-12 Ning Wang , Qiao Zhuang

We study symmetry-protected topological (SPT) phases of matter in 2D protected by symmetries acting on fractal subsystems of a certain type. Despite the total symmetry group of such systems being subextensively large, we show that only a…

Strongly Correlated Electrons · Physics 2019-06-19 Trithep Devakul

We provide a classification of symmetry-protected topological (SPT) phases of many-body localized (MBL) spin and fermionic systems in one dimension. For spin systems, using tensor networks we show that all eigenstates of these phases have…

Disordered Systems and Neural Networks · Physics 2021-10-13 Amos Chan , Thorsten B. Wahl

It is well-known that the Haldane phase of one-dimensional spin-1 chain is a symmetry protected topological (SPT) phase, which is described by a nonlinear Sigma model (NLSM) with a Theta-term at Theta = 2Pi. In this work we study a three…

Strongly Correlated Electrons · Physics 2013-05-01 Cenke Xu

We investigate the spin dynamics of a 1D spin-1/2 Heisenberg tetramer chain. Employing a combination of Density Matrix Renormalization Group, quantum renormalization group, and perturbation theory techniques, we compute the energy levels…

Strongly Correlated Electrons · Physics 2026-05-08 Junli Li , Jun-Qing Cheng , Trinanjan Datta , Dao-Xin Yao

We study two coupled Su-Schrieffer-Heeger (SSH) chains system, which is shown to contain rich quantum phases associated with topological invariants protected by symmetries. In the weak coupling region, the system supports two non-trivial…

Mesoscale and Nanoscale Physics · Physics 2017-09-14 Ci. Li , Sen. Lin , Gang. Zhang , Zhi. Song

We study bosonic symmetry protected topological (SPT) phases with $C_{2}$ rotational symmetry in four spatial dimensions which is not captured by the group cohomology classification. By using the topological crystal approach, we show that…

Strongly Correlated Electrons · Physics 2020-08-19 Sheng-Jie Huang

We study the classical and quantum phase transitions of Sp(4) spin systems on three dimensional stacked square and triangular lattices. We present general Ginzburg-Landau field theories for various types of Sp(4) spin orders with different…

Strongly Correlated Electrons · Physics 2015-05-13 Cenke Xu