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

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We propose an optical lattice setup to investigate spin chains and ladders. Electric and magnetic fields allow us to vary at will the coupling constants, producing a variety of quantum phases including the Haldane phase, critical phases,…

Strongly Correlated Electrons · Physics 2007-05-23 J. J. Garcia-Ripoll , M. A. Martin-Delgado , J. I. Cirac

We discuss spectral properties of a charged quantum particle confined to a chain graph consisting of an infinite array of rings under influence of a magnetic field assuming a $\delta$-coupling at the points where the rings touch. We start…

Mathematical Physics · Physics 2020-01-30 Pavel Exner , Stepan Manko

The scalar products, form factors and correlation functions of the XXZ spin chain with twisted (or antiperiodic) boundary condition are obtained based on the inhomogeneous $T-Q$ relation and the Bethe states constructed via the off-diagonal…

Mathematical Physics · Physics 2020-03-10 Yi Qiao , Zhirong Xin , Xiaotian Xu , Kun Hao , Tao Yang , Junpeng Cao , Wen-Li Yang

We consider a chain of spinful fermions with nearest neighbor hopping in the presence of a $XY$ antiferromagnetic interaction. The $XY$ term is mapped onto a Kitaev chain at half-filling such that displays a bosonic zero mode topologically…

Quantum Physics · Physics 2021-05-11 Gianluca Francica

In this note, we derive the spectrum of the infinite quantum XXZ spin chain with domain wall boundary conditions. The eigenstates are constructed as limits of Bethe states for the finite XXZ spin chain with quantum sl(2) invariant boundary…

Mathematical Physics · Physics 2009-12-03 Domenico Orlando , Susanne Reffert , Nicolai Reshetikhin

We consider the isotropic or anisotropic XY spin chain in the presence of a transversal random magnetic field, with parameters given by random variables. It is shown that eigenfunction correlator localization of the corresponding effective…

Mathematical Physics · Physics 2022-10-13 Houssam Abdul-Rahman , Günter Stolz

We present determinant formulae for the form factors of spin operators of general integrable XXX Heisenberg spin chains for arbitrary (finite dimensional) spin representations. The results apply to any "mixed" spin chains, such as…

High Energy Physics - Theory · Physics 2008-11-26 O. A. Castro-Alvaredo , J. M. Maillet

A strongly-interacting fermion chain with supersymmetry on the lattice and open boundary conditions is analysed. The local coupling constants of the model are staggered, and the properties of the ground states as a function of the…

Statistical Mechanics · Physics 2012-08-23 Matteo Beccaria , Christian Hagendorf

We consider a class of ground states for quantum spin chains on an integer lattice. First we show that presence of the spectral gap between the ground state energy and the rest of spectrum implies the split property of certain subsystems.As…

Mathematical Physics · Physics 2008-08-12 Taku Matsui

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.…

High Energy Physics - Theory · Physics 2009-10-31 V. Fridkin , Yu. Stroganov , D. Zagier

Based on its off-diagonal Bethe ansatz solution, we study the thermodynamic limit of the spin-$\frac{1}{2}$ XYZ spin chain with the antiperiodic boundary condition. The key point of our method is that there exist some degenerate points of…

Mathematical Physics · Physics 2020-12-24 Zhirong Xin , Yusong Cao , Xiaotian Xu , Tao Yang , Junpeng Cao , Wen-Li Yang

We have considered a numerical scheme for the calculation of the equilibrium properties of spin-1/2 XY chains. Within its frames it is necessary to solve in the last resort only the 2N\times 2N eigenvalue and eigenvector problem but not the…

Statistical Mechanics · Physics 2007-05-23 Oleg Derzhko , Taras Krokhmalskii

Antiferromagnetic spin chains play an important role in condensed matter physics and statistical mechanics. Recently XXX spin chain was discussed in relation to the information theory. We consider here localizable entanglement, introduced…

Quantum Physics · Physics 2016-09-08 B. -Q. Jin , V. E. Korepin

Spin transport properties of the one-dimensional Heisenberg antiferromagnetic spin systems for both $S=1/2$ and S=1 are studied by applying twisted boundary magnetic field. The spin current displays significantly different behavior of the…

Strongly Correlated Electrons · Physics 2009-11-11 Wei Zhuo , Xiaoqun Wang , Yupeng Wang

We point out that the existence of global symmetries in a field theory is not an essential ingredient in its relation with an integrable model. We describe an obvious construction which, given an integrable spin chain, yields a field theory…

High Energy Physics - Theory · Physics 2008-11-26 Radu Roiban

We analyze the phase diagram of the exact ground state (GS) of spin-$s$ chains with ferromagnetic $XXZ$ couplings under $n$-alternating field configurations, i.e, sparse alternating fields having nodes at $n-1$ contiguous sites. It is shown…

Strongly Correlated Electrons · Physics 2019-01-16 M. Cerezo , R. Rossignoli , N. Canosa , C. A. Lamas

We propose a universal non-linear sigma model field theory for one dimensional frustrated ferromagnets, which applies in the vicinity of a "quantum Lifshitz point", at which the ferromagnetic state develops a spin wave instability. We…

Strongly Correlated Electrons · Physics 2016-04-29 Leon Balents , Oleg A. Starykh

In this letter, the Kondo magnetic effect is studied for the $XXZ$ spin chain where the impurities are coupled to the edges of the system. The Hamiltonian of our model can be constructed from the transfer matrix. It is exactly solvable and…

Strongly Correlated Electrons · Physics 2009-10-31 Zhan-Ning Hu , Fu-Cho Pu

The antiferromagnetic Heisenberg spin chain with N spins has a sector with N=odd, in which the number of excitations is odd. In particular, there is a state with a single one-particle excitation. We exploit this fact to give a simplified…

High Energy Physics - Theory · Physics 2011-07-19 Anastasia Doikou , Luca Mezincescu , Rafael I. Nepomechie

We provide a theoretical set up for studying the dynamics in quantum spin chain models with inhomogeneous two-body interaction. We frame in our formalism models that can be mapped into a fermion system with a quadratic Hamiltonian. Local…

Quantum Physics · Physics 2015-05-20 Giuseppe Genovese
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