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We explore quantum and classical correlations along with coherence in the ground states of spin-1 Heisenberg chains, namely the one-dimensional XXZ model and the one-dimensional bilinear biquadratic model, with the techniques of density…

Quantum Physics · Physics 2016-05-31 A. L. Malvezzi , G. Karpat , B. Çakmak , F. F. Fanchini , T. Debarba , R. O. Vianna

The one-dimensional spin-S $J_1-J_2$ XY model is studied within the bosonization approach. Around the two limits ($J_2/J_1 \ll 1,J_2/J_1 \gg 1$) where a field theoretical analysis can be derived, we discuss the phases as well as the…

Strongly Correlated Electrons · Physics 2010-03-25 P. Lecheminant , T. Jolicoeur , P. Azaria

We study the long time behavior of the zz and xx time dependent autocorrelation function of the spin 1/2 XXZ chain at $T=\infty$ by exact diagonalizations on a chain of 16 sites. We find that the numerical results for the zz correlation are…

Condensed Matter · Physics 2009-10-30 Klaus Fabricius , Barry M. McCoy

The scalar spin chirality (SSC), whose nonzero value $\langle {\bf S}_i \cdot ({\bf S}_j \times {\bf S}_k) \rangle \neq 0$ implies the breaking of time-reversal and certain point-group symmetries in the ground state, is a key quantity…

Strongly Correlated Electrons · Physics 2026-05-13 Daesik Kim , Hyojae Jeon , Seongjun Park , Seungho Lee , Jung Hoon Han , Hyun-Yong Lee

The nature of the ordering of the one-dimensional Heisenberg spin-glass model with a long-range power-law interaction is studied by extensive Monte Carlo simulations, with particular attention to the issue of the spin-chirality…

Disordered Systems and Neural Networks · Physics 2010-10-13 Dao Xuan Viet , Hikaru Kawamura

We calculate the chiral anomaly in the neighbourhood of the fixed point space M_h which is constructed by the group action of a discrete symmetry h on a compact manifold M. The Feynman diagrams approach for the corresponding supersymmetric…

High Energy Physics - Theory · Physics 2007-05-23 Agapitos Hatzinikitas

Using a similarity Hamiltonian renormalization procedure, we determine an effective spin-1/2 representation of the Bose-Hubbard model at half-integer filling and at a finite on-site interaction energy U. By means of bosonization, we are…

Strongly Correlated Electrons · Physics 2013-01-08 Domenico Giuliano , Davide Rossini , Pasquale Sodano , Andrea Trombettoni

We have analytically obtained all the density matrix elements up to six lattice sites for the spin-1/2 Heisenberg XXZ chain at $\Delta=1/2$. We use the multiple integral formula of the correlation function for the massless XXZ chain derived…

Statistical Mechanics · Physics 2009-11-13 Jun Sato , Masahiro Shiroishi

In this paper, we determine the geometric phase for the one-dimensional $XXZ$ Heisenberg chain with spin-$1/2$, the exchange couple $J$ and the spin anisotropy parameter $\Delta$ in a longitudinal field(LF) with the reduced field strength…

Statistical Mechanics · Physics 2020-04-22 Yi Liao , Xiao-Bo Gong , Chu Guo , Ping-Xing Chen

The finite-size scaling spectra of the spin-1/2 XXZ Heisenberg chain with toroidal boundary conditions and an even number of sites provide a projection mechanism yielding the spectra of models with a central charge c<1 including the unitary…

High Energy Physics - Theory · Physics 2015-06-26 Uwe Grimm , Gunter M. Schuetz

Despite fermion doubling, a two-dimensional quasi-relativistic spin-1/2 system can still lead to true fractionalization of electrical charge, when a massive ordered phase supports a "half-vortex". Such topological defect is possible when…

Mesoscale and Nanoscale Physics · Physics 2016-04-13 Bitan Roy , Igor F. Herbut

We study the phase diagram of coupled spin-1/2 chains with bilinear and (chiral) three-spin exchange interactions in a magnetic field. The model is soluble on a one-parametric line in the space of coupling constants connecting the limiting…

Strongly Correlated Electrons · Physics 2009-10-31 Holger Frahm , Claus Rödenbeck

We numerically investigate Heisenberg XXZ spin-1/2 chain in a spatially random static magnetic field. We find that tDMRG simulations of time evolution can be performed efficiently, namely the dimension of matrices needed to efficiently…

Quantum Physics · Physics 2008-03-19 Marko Znidaric , Tomaz Prosen , Peter Prelovsek

Ordering of the Heisenberg spin glass with the nearest-neighbor Gaussian coupling is investigated by equilibrium Monte Carlo simulations in four and five dimensions. Ordering of the mean-field Heisenberg spin-glass is also studied for…

Disordered Systems and Neural Networks · Physics 2009-11-07 Daisuke Imagawa , Hikaru Kawamura

Recent studies on the spin and the chirality orderings of the three-dimensional Heisenberg spin glass and related systems are reviewed with particular emphasis on the possible spin-chirality decoupling phenomena. Chirality scenario of real…

Disordered Systems and Neural Networks · Physics 2009-11-11 Hikaru Kawamura

We study the interplay between disorder and a quasi periodic coupling array in an external magnetic field in a spin-1/2 XXZ chain. A simple real space decimation argument is used to estimate the magnetization values where plateaux show up.…

Strongly Correlated Electrons · Physics 2009-11-07 Marcelo Arlego

In this study, a spin-1/2 extended anisotropic XY chain has been introduced in which both time reversal and SU(2) symmetries are broken but $Z_2$ symmetry is preserved. Magnetic and topological phase diagrams in the parameter space have…

Mesoscale and Nanoscale Physics · Physics 2024-02-19 Rakesh Kumar Malakar , Asim Kumar Ghosh

The Spin-1/2 Heisenberg Model (HM) is investigated using a block-spin renormalization approach on Kagome and triangular lattices. In both cases, after coarse graining the triangles on original lattice and truncation of the Hilbert space to…

Condensed Matter · Physics 2007-05-23 V. Subrahmanyam

We study the magnetization plateau state of the three-leg spin-1/2 tube in the strong rung coupling region, where S_3-symmetry breakings and low-energy chirality degree of freedom play crucial roles. On the basis of the effective chirality…

Strongly Correlated Electrons · Physics 2012-02-16 Kouichi Okunishi , Masahiro Sato , Toru Sakai , Kiyomi Okamoto , Chigak Itoi

We study weakly coupled antiferromagnetic spin chains in their ordered phase by combinining an exact solution of the single-chain problem with an RPA analysis of the interchain interaction. A single chain is described by a quantum…

Strongly Correlated Electrons · Physics 2009-10-30 Fabian H. L. Essler , Alexei M. Tsvelik , Gesulado Delfino