Titlebook: Interplay of Quantum and Statistical Fluctuations in Critical Quantum Matter; Harley Scammell Book 2018 Springer Nature Switzerland AG 201

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Asymptotic Freedom in Quantum Magnets,e quasiparticles due to the vanishing of the interaction coupling constant—an effect known as asymptotic freedom. Despite this expectation, the asymptotic vanishing of the coupling constant has never been observed such systems. In this chapter, we establish the existence, as well as explore the impl

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Unifying Static and Dynamic Properties in 3D Quantum Antiferromagnets,es direct analytical results in terms of the quasiparticle excitations. We study three dimensional, critical quantum antiferromagnets performing a combined analysis by means of quantum field theory calculations and quantum Monte Carlo data. Explicitly, we analyse the order parameter (staggered magne

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Dimensional Reduction in Quantum Critical Systems, zero temperature, the order parameter is well described by a 3+1D theory. In the near vicinity of the Néel temperature (.), 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 analys

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,Continuity of the Order Parameter in Magnetic Condensates, in quantum antiferromagnets are associated with the SSB-condensation of bosonic triplet excitations and are hence expected to be continuous. However, theoretical descriptions of the non-zero temperature, magnetic field induced condensation of triplons have erroneously predicted a discontinuity in t

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