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Quantum criticality of d-dimensional n-vector transverse Ising-like models: New renormalization group features for d≤3

Author

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  • Caramico D’Auria, A.
  • De Cesare, L.
  • Mercaldo, M.T.
  • Naddeo, A.
  • Rabuffo, I.

Abstract

We revisit quantum criticality of d-dimensional n-vector transverse Ising-like models by means of a conventional one-loop renormalization group (RG) approach with temperature scaling. Focusing on dimensionalities d≤3, a careful analysis of the quantum regime allows us to explore the low-temperature phase diagram and to derive new features which occur close to but below the quantum critical point within the disordered phase. In particular, for d<3 a crossover of the shift exponent from the value ψ=d−1 (as for d>3) to ψ=2 is found by decreasing the temperature to zero. Besides we provide information about the low-temperature physics within the thermally disordered region usually ignored in the literature. A similar scenario takes place for d=3, but now logarithmic corrections to the mean-field power-law behavior are involved.

Suggested Citation

  • Caramico D’Auria, A. & De Cesare, L. & Mercaldo, M.T. & Naddeo, A. & Rabuffo, I., 2013. "Quantum criticality of d-dimensional n-vector transverse Ising-like models: New renormalization group features for d≤3," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(18), pages 3997-4008.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:18:p:3997-4008
    DOI: 10.1016/j.physa.2013.04.051
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