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Regularly alternating spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mstyle scriptlevel="1"><mml:mfrac bevelled="false"><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math>anisotropic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>X</mml:mi><mml:mi>Y</mml:mi></mml:mrow></mml:math>chains: The ground-state and thermodynamic properties
Using the Jordan-Wigner transformation and continued fractions we calculate rigorously the thermodynamic quantities for the spin-$\frac{1}{2}$ transverse Ising chain with periodically varying intersite interactions andāor on-site fields. We consider in detail the properties of the chains having a period of the transverse field modulation equal to 3. The regularly alternating ā¦