Abstract
j(t)Bj+n(0)i for the local spin operators {Am, Bm} = � s z , Dmwhere Dm = s x s x+1 + s y s y+1 is the dimer operator. The results for the dynamic transverse structure factor Szz(�, !) and for the dynamic dimer structure factor SDD(�, !) are known, whereas the analysis of the dynamic struc- ture factor SzD(�, !) = (SDz(�, !)) ? has not been reported so far. We
Highlights
One-dimensional quantum spin- 1/2 XY models admit the rigorous analysis of their static properties and of their dynamic properties
On the one c O.Derzhko, T.Krokhmalskii, P.Hlushak hand, quite often the relevant quantities can be examined rigorously, especially if the space dimension is equal to one. This is important even if the models in question are simplified since conventional approximations usually fail after being applied to low-dimensional quantum spin systems
Material science provides a number of magnetic materials which can be modelled using the spin-1/2 XXZ Heisenberg chains
Summary
One-dimensional quantum spin- 1/2 XY models admit the rigorous analysis of their static properties (i.e. the thermodynamic quantities and the equal-time spin correlation functions) and of their dynamic properties (i.e. the different-time spin correlation functions, the dynamic susceptibilities, the dynamic structure factors). The imaginary and real parts of χAB(κ, ω) are connected by the Dynamics of dimer and z spin component fluctuations Introducing the fermionic representation (2) and exploiting the Wick-Bloch-de Dominicis theorem we calculate the two-spin correlation functions entering equations (3), (4)
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