Dimer Correlarions in Spin-1/2 Alternating Xy Chain
نویسندگان
چکیده
We investigate the long-distance asymptotic behavior of the dimer correlations in the spin-1/2 alternating XY chain both at T = 0 and at sufficiently low-temperatures. The correlations consist of the dimer longrange order part and the exponentially decaying one. Although the dimer long-range order takes the different values depending on the choice of the spin pairs, the behavior in the decaying term is same irrespective of the choice of spin pairs.
منابع مشابه
Exact results on spin dynamics and multiple quantum dynamics in alternating spin - 1 2 chains with XY - Hamiltonian at high temperatures
We extend the picture of a transfer of nuclear spin2 polarization along a homogeneous one-dimensional chain with the XY -Hamiltonian to the inhomogeneous chain with alternating nearest neighbour couplings and alternating Larmor frequencies. To this end, we calculate exactly the spectrum of the spin2 XY -Hamiltonian of the alternating chain with an odd number of sites. The exact spectrum of the ...
متن کاملHigh-Probability Quantum State Transfer in an Alternating Open Spin Chain with an XY Hamiltonian
This paper concerns the problem of non-ideal state transfer along the alternating open chain of spins s = 1/2 with the XY Hamiltonian. It is found that the state transfer along the chain with even number of spins N (N = 4, 6, 8) may be realized with high probability. Privilege of even N in comparison with odd N is demonstrated.
متن کاملar X iv : c on d - m at / 9 80 21 47 v 1 1 3 Fe b 19 98 The antiferromagnetic spin 1 / 2 chain with competing dimers and plaquettes : Numerical versus exact results
We examine the ground state and the excitations of an one-dimensional Heisenberg spin 1/2 antiferromagnet with alternating dimers and four-spin plaquettes (dimer-plaquette chain). The properties of the system depend on the competing dimer and plaquette bonds. Several exact, exact-numerical and perturbational results are presented. We find that the system is gapped for all parameter values. The ...
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 کاملQuantum Spin Chains with Regularly Alternating Bonds and Fields
We consider the spin1 2 XY chain in a transverse field with regularly varying exchange interactions and on-site fields. In two limiting cases of the isotropic (XX) and extremely anisotropic (Ising) exchange interaction the thermodynamic quantities are calculated rigorously with the help of continued fractions. We discuss peculiarities of the low-temperature magnetic properties and a possibility...
متن کامل