 Quantum criticality of d-dimensional n-vector transverse Ising-like models: New renormalization group features for d≤3Caramico D’Auria, A., L. De Cesare, M.T. Mercaldo, A. Naddeo and I. Rabuffo Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 18, 3997-4008 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. Keywords: Quantum criticality; Renormalization group; Transverse Ising-like models (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:18:p:3997-4008 DOI: 10.1016/j.physa.2013.04.051 Access Statistics for this article Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis More articles in Physica A: Statistical Mechanics and its Applications from Elsevier |
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