Abstract

We consider the spin- 1 2 Ising chain in a transverse field with regularly alternating nearest neighbour exchange interactions and on-site fields. Using the Jordan–Wigner fermionization, Green functions approach and continued fractions we calculate exactly the thermodynamic functions of the model. We discuss the effects of regular alternation on the magnetic properties at zero temperature. We find that the qualitative behaviour of the magnetization and susceptibility (e.g., the number of plateau-like steps) strongly depends on the strength of nonuniformity.

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