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The Haldane phase for antiferromagnetic spin-1 chains is a celebrated topological state of matter, featuring gapped excitations and fractional spin-1/2 edge states. Here, we provide numerical evidence that this phase can be realized with a…

Mesoscale and Nanoscale Physics · Physics 2023-09-13 G. Catarina , J. Fernández-Rossier

We reconsider the random bond antiferromagnetic spin-1/2 chain for weak disorder and demonstrate the existence of crossover length scale x_W that diverges with decreasing strength of the disorder. Recent DMRG calculations [Phys. Rev. Lett.…

Disordered Systems and Neural Networks · Physics 2009-11-07 N. Laflorencie , H. Rieger

Extensive DMRG calculations for spin S=1/2 and S=3/2 disordered antiferromagnetic Heisenberg chains show a rather distinct behavior in the two cases. While at sufficiently strong disorder both systems are in a random singlet phase, we show…

Statistical Mechanics · Physics 2009-11-10 Enrico Carlon , Péter Lajkó , Heiko Rieger , Ferenc Iglói

We obtain the phase diagram in the parameter space $(J'/J, \gamma)$ and an accurate estimate of the critical line separating the different phases. We show several measuments of the magnetization, dimerization, nearest neighbours…

Strongly Correlated Electrons · Physics 2009-11-13 J. Almeida , M. A. Martin-Delgado , G. Sierra

We investigate the effect of dimensional crossover in the ground state of the antiferromagnetic spin-$1$ Heisenberg model on the anisotropic triangular lattice that interpolates between the regime of weakly coupled Haldane chains…

Strongly Correlated Electrons · Physics 2017-11-27 M. G. Gonzalez , E. A. Ghioldi , C. J. Gazza , L. O. Manuel , A. E. Trumper

We investigate the boundary effects that arise when spin-$\frac{1}{2}$ impurities interact with the edges of the antiferromagnetic spin-$\frac{1}{2}$ Heisenberg chain through spin exchange interactions. We consider both cases when the…

Strongly Correlated Electrons · Physics 2025-07-17 Pradip Kattel , Parameshwar R. Pasnoori , J. H. Pixley , Patrick Azaria , Natan Andrei

We study the thermodynamics of one-dimensional quantum spin-1/2 Heisenberg ferromagnetic system with random antiferromagnetic impurity bonds. In the dilute impurity limit, we generalize the modified spin-wave theory for random spin chains,…

Disordered Systems and Neural Networks · Physics 2009-11-07 Xin Wan , Kun Yang , R. N. Bhatt

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

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

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 investigate the behavior of antiferromagnetic integer-spin chains in a staggered magnetic field, by means of the density-matrix renormalization group, carefully addressing the role of finite-size effects within the Haldane phase at small…

Strongly Correlated Electrons · Physics 2007-08-07 M. Capone , S. Caprara

A Heisenberg spin-$s$ chain with alternating ferromagnetic ($-J_1^F<0$) and antiferromagnetic ($J_1^A>0$) nearest-neighbor (NN) interactions, exhibits the Dimer and spin-$2s$ Haldane phases in the limits $J_1^F/J_1^A \rightarrow 0$ and…

Strongly Correlated Electrons · Physics 2020-06-02 Shaon Sahoo , Dayasindhu Dey , Sudip Kumar Saha , Manoranjan Kumar

Inelastic neutron scattering was used to probe edge states in a quantum spin liquid. The experiment was performed on finite length antiferromagnetic spin-1 chains in Y_2BaNi_{1-x}Mg_xO_5. At finite fields, there is a Zeeman resonance below…

Strongly Correlated Electrons · Physics 2009-11-07 M. Kenzelmann , G. Xu , I. A. Zaliznyak , C. Broholm , J. F. DiTusa , G. Aeppli , T. Ito , K. Oka , H. Takagi

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

The ground-state phase diagram of a frustrated S=1 Heisenberg spin chain with uniaxial single-ion-type anisotropy is studied using the infinite-system density-matrix renormalization-group method. Particular attention is paid to "chiral"…

Statistical Mechanics · Physics 2009-11-07 Toshiya Hikihara

Using (infinite) density matrix renormalization group techniques, ground state properties of antiferromagnetic S=1 Heisenberg spin chains with exchange and single-site anisotropies in an external field are studied. The phase diagram is…

Statistical Mechanics · Physics 2012-11-07 D. Peters , I. P. McCulloch , W. Selke

We investigate the spatially anisotropic square lattice quantum antiferromagnet. The model describes isotropic spin-1/2 Heisenberg chains (exchange constant J) coupled antiferromagnetically in the transverse (J_\perp) and diagonal…

Strongly Correlated Electrons · Physics 2007-05-23 Oleg A. Starykh , Leon Balents

We provide evidence of an intermediate Haldane phase in a spin-2 quantum chain. By combining effective field theory and numerical approaches, we show that the phase diagram of the proposed model includes SO(5) Haldane, intermediate Haldane,…

Strongly Correlated Electrons · Physics 2011-10-18 Hong-Hao Tu , Roman Orus

The phase transition of the quantum spin-1/2 frustrated Heisenberg antiferroferromagnet on an anisotropic square lattice is studied by using a variational treatment. The model is described by the Heisenberg Hamiltonian with two…

Statistical Mechanics · Physics 2015-06-05 Orlando D. Mabelini , Octavio Salmon , J. Ricardo de Sousa

The ordering of weakly coupled random antiferromagnetic $S=1/2$ chains, as relevant for recent experimentally investigated spin chain materials, is considered theoretically. The one-dimensional isotropic Heisenberg model with random…

Strongly Correlated Electrons · Physics 2015-04-29 J. Kokalj , J. Herbrych , A. Zheludev , P. Prelovšek