Multiple universalities in order-disorder magnetic phase transitions

Abstract

Phase transitions in isotropic quantum antiferromagnets are associated with the condensation of bosonic triplet excitations. In three dimensional quantum antiferromagnets, such as TlCuCl${}_3$, condensation can be either pressure or magnetic field induced. The corresponding magnetic order obeys universal scaling with thermal critical exponent $\varphi$. Employing a relativistic quantum field theory, the present work predicts the emergence of multiple (three) universalities under combined pressure and field tuning. Changes of universality are signalled by changes of the critical exponent $\varphi$. Explicitly, we predict the existence of two new exponents $\varphi =1$ and $1/2$ as well as recovering the known exponent $\varphi =3/2$. We also predict logarithmic corrections to the power law scaling.

References in corpus (14)

• Realization of Bose-Einstein condensation of dilute magnons in TlCuCl${}_3$
• Coupled Ladders in a Magnetic Field
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• Width of the longitudinal magnon in the vicinity of the O(3) quantum critical point
• Magnetic-field- and pressure-induced quantum phase transition in CsFeCl${}_3$ proved via magnetization measurement
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• Asymptotic Freedom in Quantum Antiferromagnet TlCuCl3
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Cited by in corpus (4)

• Classification for the universal scaling of Néel temperature and staggered magnetization density of three-dimensional dimerized spin-1/2 antiferromagnets
• Unifying static and dynamic properties in 3D quantum antiferromagnets
• Pressure-tuned quantum criticality in the large-$D$ antiferromagnet DTN
• Universal scaling of three-dimensional dimerized quantum antiferromagnets on bipartite lattices