Journal of Physical Studies 2(2), 181–191 (1998)
DOI: https://doi.org/10.30970/jps.02.181

PROPERTIES OF THE PHASE TRANSITION IN THE TRANSVERSE ISING MODEL

L. De Cesare\dag, I. Rabuffo\dag, D. I. Uzunov\ddag
\dagDipartimento di Scienze Fisiche ‟E. R. Caianiello", Università di Salerno, I–84081 Baronissi, Salerno, Italy, and Istituto Nazionalle per la Fisica della Materia, Unità di Salerno, Italy
\ddagCPCM Laboratory, G. Nadjakov Institute of Solid State Physics, Bulgarian Academy of Sciences, BG–1784 Sofia, Bulgaria

The phase transition properties of the quantum spin–1/2 Ising model in a transverse magnetic field are reconsidered with the help of the mean field approximation, the Ginzburg criterion, and the renormalization group theory. A special attention is paid to the phase transitions whose properties are determined by variations of the external transverse field and to the low–temperature phase transitions due to temperature variations. The classical–to–quantum crossover is investigated in details. A new crossover effect is established and discussed.

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