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Related papers: A possible combinatorial point for XYZ-spin chain

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We examine the entanglement of cyclic spin 1/2 chains with anisotropic XY Z Heisenberg couplings of arbitrary range at transverse factorizing magnetic fields. At these fields the system exhibits a degenerate symmetry-breaking separable…

Quantum Physics · Physics 2011-01-21 R. Rossignoli , N. Canosa , J. M. Matera

We present a nonlinear field theory of a three-sublattice hexagonal antiferromagnet. The order parameter is the spin frame, an orthogonal triplet of vectors related to sublattice magnetizations and spin chirality. The exchange energy,…

Strongly Correlated Electrons · Physics 2024-10-15 Bastian Pradenas , Oleg Tchernyshyov

We show the boundedness of entanglement entropy for (bipartite) pure states of quantum spin chains implies split property of subsystems. As a corollary the infinite volume ground states for 1-dim spin chains with the spectral gap between…

Mathematical Physics · Physics 2011-09-28 Taku Matsui

The exact expression for the density matrix of the kink ground state of the ferromagnetic XXZ chain is obtained. Utilizing this, we exactly calculate various correlation functions such as the longitudinal and transverse spin-spin…

Statistical Mechanics · Physics 2009-03-17 Kohei Motegi , Kazumitsu Sakai

We derived the corresponding boundary condition on Fermi fields to the spin-1/2 Heisenberg chain with boundary magnetic fields. In order to obtain the correct boundary condition from the variation of the action at the edges, we carefully…

Statistical Mechanics · Physics 2014-12-09 Chihiro Matsui

The thermodynamic properties of the XXZ spin chain with integrable open boundary conditions at the gaped region (i.e., the anisotropic parameter $\eta$ being a real number) are investigated.It is shown that the contribution of the…

Strongly Correlated Electrons · Physics 2019-08-16 Pei Sun , Zhi-Rong Xin , Yi Qiao , Kun Hao , Like Cao , Junpeng Cao , Tao Yang , Wen-Li Yang

We study states with spontaneous spin current, emerging in frustrated antiferromagnetic spin-$S$ chains subject to a strong external magnetic field. As a numerical tool, we use a non-Abelian symmetry realization of the density matrix…

Strongly Correlated Electrons · Physics 2009-09-21 A. K. Kolezhuk , I. P. McCulloch

By means of a variational calculation using Matrix Product States with periodic boundary conditions, we accurately determine the extension of the spin-supersolid phase predicted to exist in the spin-1 anisotropic Heisenberg chain. We…

Strongly Correlated Electrons · Physics 2011-04-28 Davide Rossini , Vittorio Giovannetti , Rosario Fazio

We find an analytic solution of the Bethe Ansatz equations (BAE) for the special case of a finite XXZ spin chain with free boundary conditions and with a complex surface field which provides for $U_q(sl(2))$ symmetry of the Hamiltonian.…

Exactly Solvable and Integrable Systems · Physics 2015-06-26 V. Fridkin , Yu. Stroganov , D. Zagier

We investigate dynamical stability of the ground state against a time-periodic and spatially-inhomogeneous magnetic field for finite quantum XXZ spin chains. We use the survival probability as a measure of stability and demonstrate that it…

Other Condensed Matter · Physics 2009-05-22 Kazue Kudo , Katsuhiro Nakamura

We report on the properties of a dipolar, antiferromagnetic chain in the framework of linear spin-wave theory. The phase diagram is calculated for an arbitrary ratio of dipolar interaction to exchange interaction and for fields both…

Statistical Mechanics · Physics 2008-02-03 M. Hummel , C. Pich , F. Schwabl

The correlations, entanglement entropy, and fidelity susceptibility are calculated for a one-dimensional spin-1/2 XXZ chain with anisotropic power-law long range interactions by employing the density matrix renormalization group method. In…

Strongly Correlated Electrons · Physics 2020-03-11 Jie Ren , Wen-Long You , Xiaoqun Wang

We study the antiferromagnetic XYZ spin chain with quenched bond randomness, focusing on a critical line between localized Ising magnetic phases. A previous calculation using the spectrum-bifurcation renormalization group, and assuming…

Disordered Systems and Neural Networks · Physics 2022-01-12 Brenden Roberts , Olexei I. Motrunich

The ground state of the S=1/2 Heisenberg antiferromagnet on the pyrochlore lattice is theoretically investigated. Starting from the limit of isolated tetrahedra, I include interactions between the tetrahedra and obtain an effective model…

Strongly Correlated Electrons · Physics 2009-11-07 Hirokazu Tsunetsugu

We consider the limit of strong Coulomb attraction for generalized Hubbard models with $\eta$-symmetry. In this limit these models are equivalent to the ferromagnetic spin-1/2 Heisenberg quantum spin chain. In order to study the behaviour…

Condensed Matter · Physics 2009-10-22 G. Albertini , V. E. Korepin , A. Schadschneider

In this short note we provide two extensions on the recent explicit results on the matrix-product ansatz for the non-equilibrium steady state of a markovianly boundary-driven anisotropic Heisenberg XXZ spin 1/2 chain. We write a…

Statistical Mechanics · Physics 2013-09-05 Tomaz Prosen

We study the ground state properties of the bond alternating $S=1/2$ quantum spin chain whose Hamiltonian is H=\sum_j (S_{2j}^x S_{2j+1}^x +S_{2j}^y S_{2j+1}^y +\lambda S_{2j}^z S_{2j+1}^z ) +\beta \sum_j {\bf S}_{2j-1} \cdot {\bf S}_{2j} .…

Condensed Matter · Physics 2009-10-22 M. Yamanaka , Y. Hatsugai , M. Kohmoto

We present a set of {\em optimum ground states} for a large class of spin-$\frac{3}{2}$ chains. Such global ground states are simultaneously ground states of the local Hamiltonian, i.e. the nearest neighbour interaction in the present case.…

Condensed Matter · Physics 2009-10-28 H. Niggemann , J. Zittartz

We formulate part V of a rigorous theory of ground states for classical, finite, Heisenberg spin systems. After recapitulating the central results of the parts I - IV previously published we extend the theory to the case where an involutary…

Strongly Correlated Electrons · Physics 2020-03-02 Heinz-Jürgen Schmidt , Wojciech Florek

Sutherland showed that the XYZ quantum spin-chain Hamiltonian commutes with the eight-vertex model transfer matrix, so that Baxter's subsequent tour de force proves the integrability of both. The proof requires parametrising the Boltzmann…

Statistical Mechanics · Physics 2025-11-07 Paul Fendley , Sascha Gehrmann , Eric Vernier , Frank Verstraete