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• W2888897395 abstract "This chapter discusses dimensional reduction in 3+1D antiferromagnets. The observable of interest is the order parameter (staggered magnetisation). At zero temperature, the order parameter is well described by a 3+1D theory. In the near vicinity of the Neel temperature ((T_N)), the system is expected to crossover into a regime whereby the order parameter is described by a theory in one lower dimension. This is ‘dimensional reduction’. A recent analysis of the order paramter versus temperature, performed on the data for 3+1D antiferromagnet TlCuCl(_3) [1], has identified the crossover boundaries to the dimensionally reduced regime. It was found that on approach to (T_N) a relatively sharp crossover occurs, whereby the order parameter near (T_N) displays scaling in accord with the 3D theory. In this chapter we analyse the same scenario. Starting from a (T=0), 3+1D quantum field theory, and perturbatively including temperature, we quantitatively describe the experimental data on TlCuCl(_3) across the range (0le Tle T_N). Our theory cannot reproduce the 3D scaling exponents in the limit (Trightarrow T_N), yet it fully accounts for the observed sharp crossover behaviour in TlCuCl(_3). Ultimately, we expect observables to scale with exponents of a lower dimensional theory, however, our results provide a new perspective on the enigmatic problem of dimensional reduction." @default.
• W2888897395 created "2018-09-07" @default.
• W2888897395 creator A5047212007 @default.
• W2888897395 date "2018-01-01" @default.
• W2888897395 modified "2023-10-16" @default.
• W2888897395 title "Dimensional Reduction in Quantum Critical Systems" @default.
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• W2888897395 doi "https://doi.org/10.1007/978-3-319-97532-0_5" @default.
• W2888897395 hasPublicationYear "2018" @default.
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