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We consider lambda and anisotropic deformations of the SU(2) principal chiral model and show how they can be quantized in the Hamiltonian formalism on a lattice as a suitable spin chain. The spin chain is related to the higher spin XXZ…

High Energy Physics - Theory · Physics 2018-09-26 Calan Appadu , Timothy J. Hollowood , Dafydd Price , Daniel C. Thompson

We analyze the ground state of the open spin-1/2 isotropic quantum spin chain with a non-diagonal boundary term using a recently proposed Bethe ansatz solution. As the coefficient of the non-diagonal boundary term tends to zero, the Bethe…

Mathematical Physics · Physics 2015-06-17 Rafael I. Nepomechie , Chunguang Wang

The long-time and long-distance asymptotic behavior of the $x$ spin correlations at finite temperature in an anisotropic spin-1/2 XY chain is determined numerically. The decay of the correlations is exponential in both space and time.…

Statistical Mechanics · Physics 2011-09-01 Jörn Krones , Joachim Stolze

We present some open problems in the field of exactly solvable models. Two of the problems are related to the correlation functions of the XXX spin chain and the XXZ spin chain, one to the entropy of subsystems and one to the six vertex…

Statistical Mechanics · Physics 2008-11-26 Vladimir E. Korepin , Ovidiu I. Patu

This paper is concerned with the investigation of the massless regime of an integrable spin chain based on the quantum group deformation of the $OSp(3|2)$ superalgebra. The finite-size properties of the eigenspectra are computed by solving…

Statistical Mechanics · Physics 2019-07-25 Holger Frahm , Konstantin Hobuß , Márcio J. Martins

Motivated by the recent Ge hole spin qubit experiments, we construct and study a two-leg spin ladder from a quantum dot array with spin-orbit couplings (SOCs), aiming to uncover the many-body phase diagrams and provide concrete guidance for…

Strongly Correlated Electrons · Physics 2026-01-13 Yang-Zhi Chou , Sankar Das Sarma

The $N$ site open XXZ quantum spin chain with a right non-diagonal boundary and special diagonal left boundary is considered. The boundary non-local charges originally obtained from a field theoretical viewpoint, for the sine Gordon model…

Mathematical Physics · Physics 2009-11-10 Anastasia Doikou

The XX spin-chain with non-Hermitian diagonal boundary conditions is shown to be quasi-Hermitian for special values of the boundary parameters. This is proved by explicit construction of a new inner product employing a "quasi-fermion"…

Mathematical Physics · Physics 2012-07-20 Christian Korff

We investigate a dissipatively driven XYZ spin-1/2 chain in the Zeno limit of strong dissipation, described by Lindblad master equation. The nonequilibrium steady state is expressed in terms of a matrix product ansatz using novel…

Statistical Mechanics · Physics 2020-04-22 Vladislav Popkov , Tomaž Prosen , Lenart Zadnik

Transition rates and dynamic spin structure factor at zero temperature for the spin-1/2 XXZ chain at critical regime in a magnetic field are numerically evaluated in terms of the exact determinant representations for the form factors and…

Statistical Mechanics · Physics 2009-11-10 Jun Sato , Masahiro Shiroishi , Minoru Takahashi

The ground state and the thermodynamics of a spin-1/2 asymmetric diamond Ising--Heisenberg chain are considered. For the $XYZ$ anisotropic Heisenberg interaction, the exact calculations of the free energy, entropy, heat capacity,…

Statistical Mechanics · Physics 2011-12-09 Bohdan Lisnii

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

By means of the recently proposed algorithm based on the tensor product states, the magnetization process of the spin-1/2 anti-ferromagnetic XXZ model on a square lattice is investigated. In the large spin-anisotropy limit, clear evidence…

Strongly Correlated Electrons · Physics 2009-10-05 Pochung Chen , Chen-Yen Lai , Min-Fong Yang

We reconsider the open XXZ chain of Yang and Fendley. This model possesses a lattice supersymmetry which changes the length of the chain by one site. We perform an algebraic Bethe ansatz analysis of the model and derive the commutation…

Mathematical Physics · Physics 2018-01-17 Robert Weston , Junye Yang

We consider the easy-plane anisotropic spin-1/2 Heisenberg chain in combined uniform longitudinal and transverse staggered magnetic fields. The low-energy limit of his model is described by the sine-Gordon quantum field theory. Using…

Strongly Correlated Electrons · Physics 2009-01-06 Igor Kuzmenko , Fabian H. L. Essler

The hamiltonian of an asymmetric diffusion process with injection and ejection of particles at the ends of a chain of finite length is known to be relevant to that of the spin-1/2 XXZ chain with integrable boundary terms. However, the…

Statistical Mechanics · Physics 2007-05-23 M. T. Batchelor

The effect of anisotropy in the nearest-neighbor spin interactions that couple $N\geq 2$ consecutive spin-1/2 antiferromagnetic chains is studied theoretically by considering the limit where the coupling is purely of the Ising type. An…

Condensed Matter · Physics 2009-10-30 J. P. Rodriguez , P. D. Sacramento , V. R. Vieira

Using large-scale determinant quantum Monte Carlo simulations in combination with the stochastic analytical continuation, we study two-particle dynamical correlation functions in the anisotropic square lattice of weakly coupled…

Strongly Correlated Electrons · Physics 2013-08-22 Marcin Raczkowski , Fakher F. Assaad

Level statistics is discussed for XXZ spin chains with discrete symmetries for some values of the next-nearest-neighbor (NNN) coupling parameter. We show how the level statistics of the finite-size systems depends on the NNN coupling and…

Statistical Mechanics · Physics 2009-11-10 Kazue Kudo , Tetsuo Deguchi

We consider the open spin-s XXZ quantum spin chain with nondiagonal boundary terms. By exploiting certain functional relations at roots of unity, we derive a generalized form of T-Q relation involving more than one independent Q(u), which…

Mathematical Physics · Physics 2015-06-05 Rashad Baiyasi , Rajan Murgan
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