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Scaling aspects of Gaussian topological phase-transitions in quantum spin chains are investigated using the prototypical one-dimensional spin-1 XXZ Heisenberg model with uniaxial single-ion anisotropy $D$. This model presents a critical…

Statistical Mechanics · Physics 2021-07-14 Luan M. Veríssimo , Maria S. S. Pereira , Marcelo L. Lyra

We investigate the low-temperature properties of the one-dimensional spin-1 Heisenberg model with geometric fluctuations induced by aperiodic but deterministic coupling distributions, involving two parameters. We focus on two aperiodic…

Strongly Correlated Electrons · Physics 2014-04-15 H. L. Casa Grande , N. Laflorencie , F. Alet , A. P. Vieira

We propose a Haldane-like model of dice lattice analogous to graphene and explore its topological properties within the tight-binding formalism. The topological phase boundary of the system is identical to that of Haldane model of graphene…

Mesoscale and Nanoscale Physics · Physics 2020-06-04 Bashab Dey , Priyadarshini Kapri , Ojasvi Pal , Tarun Kanti Ghosh

The topological classification of a series of frustration-induced spin-gap phases in the spin-1/2 ferromagnetic--antiferromagnetic alternating Heisenberg chain with next-nearest-neighbour interaction reported in J. Phys. Soc. Jpn. 82,…

Strongly Correlated Electrons · Physics 2016-01-11 Kazuo Hida

The BBM is a promising candidate to study spin-one systems and to design quantum simulators based on its underlying Hamiltonian. The variety of different phases contains amongst other valuable and exotic phases the Haldane phase. We study…

Quantum Gases · Physics 2025-05-09 Arya Dhar , Daniel Jaschke , Lincoln D. Carr

The Haldane-Shastry model is one of the most studied interacting spin systems. The Yangian symmetry makes it exactly solvable, and the model has semionic excitations. We introduce disorder into the Haldane-Shastry model by allowing the…

Disordered Systems and Neural Networks · Physics 2020-07-10 Shriya Pai , N. S. Srivatsa , Anne E. B. Nielsen

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

A spin-1/2 Ising-Heisenberg branched chain constituted by regularly alternating Ising spins and Heisenberg dimers involving an additional side branching is exactly solved in a magnetic field by the transfer-matrix method. The spin-1/2…

Statistical Mechanics · Physics 2021-10-18 Jozef Strecka , Katarina Karlova , Azadeh Ghannadan

We generalize the nonlinear sigma model treatment of quantum spin chains to cases including ferromagnetic bonds. When these bonds are strong enough, the classical ground state is no longer the standard Neel order and we present an extension…

Strongly Correlated Electrons · Physics 2010-03-25 M. Bocquet , Th. Jolicoeur

Recently, it has been proposed that higher-spin analogues of the Kitaev interactions $K>0$ may also occur in a number of materials with strong Hund's and spin-orbit coupling. In this work, we use Lanczos diagonalization and density matrix…

Strongly Correlated Electrons · Physics 2020-10-26 Wen-Long You , Gaoyong Sun , Jie Ren , Wing Chi Yu , Andrzej M. Oleś

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

We investigate both numerically and analytically the behaviour of a spin-1 antiferromagnetic (AFM) isotropic Heisenberg chain in an external magnetic field. Extensive DMRG studies of chains up to N=80 sites extend previous analyses and…

Strongly Correlated Electrons · Physics 2009-10-31 L. Campos Venuti , E. Ercolessi , G. Morandi , P. Pieri , M. Roncaglia

By using the infinite time-evolving block decimation, we study quantum fidelity and entanglement entropy in the spin-1/2 Heisenberg alternating chain under an external magnetic field. The effects of the magnetic field on the fidelity are…

Quantum Physics · Physics 2019-09-04 Wei-Xia Chen , Jie Ren , Wen-Long You , Xiang Hao , Yin-Zhong Wu

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

We study an AFM Heisenberg S=2 quantum spin chain at T=0 with both interaction and on-site anisotropy, H = \sum_{i} {1/2}(S^{+}_{i}S^{-}_{i+1}+S^{-}_{i}S^{+}_{i+1}) +J^{z}S^{z}_{i}S^{z}_{i+1}+D(S^{z}_{i})^{2}. Contradictory scenarios exist…

Condensed Matter · Physics 2016-08-31 H. Aschauer , U. Schollwoeck

The ground state phase diagrams and thermodynamic properties of a spin-1 bond-alternating Heisenberg antiferromagnetic chain with a single-ion anisotropy in longitudinal and transverse magnetic fields are investigated jointly by means of…

Strongly Correlated Electrons · Physics 2012-09-21 Xin Yan , Wei Li , Yang Zhao , Shi-Ju Ran , Gang Su

The ground state properties of spin-1/2 ladders are studied, emphasizing the role of frustration and ring exchange coupling. We present a unified field theory for ladders with general coupling constants and geometry. Rich phase diagrams can…

Strongly Correlated Electrons · Physics 2017-04-19 Alexandros Metavitsiadis , Sebastian Eggert

We investigate the ground state phase diagram of the S=1/2 two-leg $XXZ$ spin ladder system with an isotropic interchain coupling. In this model, there is the Berezinskii-Kosterlitz-Thouless transition which occurs at the XY-Haldane and the…

Strongly Correlated Electrons · Physics 2009-11-11 K. Hijii , A. Kitazawa , K. Nomura

String correlations are investigated in an infinite-size XXZ spin-1 chain. By using the infinite matrix product state representation, we calculate a long-range string order. In the XY phase, the string correlations decay within a relatively…

Statistical Mechanics · Physics 2015-06-04 Yao Heng Su , Sam Young Cho , Bo Li , Hong-Lei Wang , Huan-Qiang Zhou

We explore the ground-state physics of two-dimensional spin-$1/2$ $U(1)$ quantum link models, one of the simplest non-trivial lattice gauge theories with fermionic matter within experimental reach for quantum simulations. Whereas in the…

Quantum Gases · Physics 2020-04-01 Lorenzo Cardarelli , Sebastian Greschner , Luis Santos