The low-temperature critical behavior of the spin-1/2 planar ferromagnet is investigated. A functional integral expression for the partition function is obtained and analyzed using renormalization group techniques. The quantum-classical crossover phenomenon near the zero-temperature multicritical point is studied. A comparison with similar studies carried out for the XY model in a transverse field shows, as expected, that the critical properties are similar in both systems. However, for the critical line h c(0)−h c(θ) ~ θ1/ψ we obtain ψ = 1 for the shift exponent instead of the XY value ψ = 2/d.
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Supported by a Graduate Studies Fellowship from CAPES (Brazil).
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Dacol, D.K. Low-temperature critical phenomena in the spin-1/2 planar ferromagnet. J Low Temp Phys 41, 349–373 (1980). https://doi.org/10.1007/BF00117946
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DOI: https://doi.org/10.1007/BF00117946