Numerical Approach for the Study of the Spin-1/2 XY Chains Dynamic Properties
نویسندگان
چکیده
The paper presents a numerical approach for the calculation of thermodynamics and spin correlations for spin-2 XY chains. To illustrate the approach we performed exact finite-chain calculations of all time-dependent two-spin correlation functions for the spin-2 Ising chain in the transverse field. The computed correlation functions permit to evaluate the frequency-dependent susceptibilities and structure factors for this model. The obtained results are discussed in detail. They may have an application for the interpretation of dynamic experiments on quasi-one-dimensional crystals that can be treated within the frames of the spin-2 transverse Ising model.
منابع مشابه
2 8 M ay 1 99 8 Dynamic properties of spin - 12 XY chains
We have considered a numerical scheme for the calculation of the equilibrium properties of spin-12 XY chains. Within its frames it is necessary to solve in the last resort only the 2N × 2N eigenvalue and eigenvector problem but not the 2 × 2 one as for an arbitrary system consisting of N spins 1 2 . To illustrate the approach we have presented some new results. Namely, the xx dynamic structure ...
متن کاملThere is life in the old horse yet or what else we can learn studying spin - 1 2 XY chains
There is life in the old horse yet or what else we can learn studying spin-We review some recent results on statistical mechanics of the one-dimensional spin-1 2 XY systems paying special attention to the dynamic and thermodynamic properties of the models with Dzyaloshinskii-Moriya interaction, correlated disorder , and regularly alternating Hamiltonian parameters.
متن کاملJordan–Wigner Fermions and Dynamic Probes of Quantum Spin Chains
With the help of the Jordan–Wigner transformation the spin-12 XY chains can be reformulated in terms of noninteracting spinless fermions and, as a result, many statistical-mechanics calculations can be performed rigorously, i.e. without making any simplifying approximations. We are interested in dynamic properties of such chains (time-dependent spin correlation functions, dynamic structure fact...
متن کاملRandom antiferromagnetic quantum spin chains: Exact results from scaling of rare regions
We study XY and dimerized XX spin-1/2 chains with random exchange couplings by analytical and numerical methods and scaling considerations. We extend previous investigations to dynamical properties, to surface quantities, and operator profiles, and give a detailed analysis of the Griffiths phase. We present a phenomenological scaling theory of average quantities based on the scaling properties ...
متن کاملConsidering chain to chain competition in forward and reverse logistics of a dynamic and integrated supply chain network design problem
In this paper, a bi-objective model is presented for dynamic and integrated network design of a new entrant competitive closed-loop supply chain. To consider dynamism and integration in the network design problem, multiple long-term periods are regarded during planning horizon, so that each long-term period includes several short-term periods. Furthermore, a chain to chain competition between t...
متن کامل