Strain Fields and Critical Phenomena in Manganites II: Spin-Lattice-Energy Hamiltonians

Abstract

The dynamic critical behavior at the paramagnetic-antiferromagnetic (PM-AFM) transition in manganites has recently been studied experimentally [Niermann et al., Phys. Rev. Lett. {\bf 114}, 037204 (2015)]. We extend the Hamiltonian of Paper I by incorporating an energy field, and study the corresponding Model C of critical dynamics. We use the dynamic renormalization group (RG) approach and calculate the dynamic critical exponents $z$, $\nu z$ and the line-width exponent $\Delta$ to leading order in the small expansion parameters $\epsilon =4-d+2\sigma$ and ${\epsilon }^{\prime }=4-d$. Here, $d$ is the space dimension and $\sigma$ is the long-range exponent. Using $\sigma$ as an adjustable parameter, the theory gives us a good match to the experimentally available static and dynamic critical exponents at the PM-AFM transition.

arXiv comment"To appear in JSTAT: Theory and Experiment"

References in corpus (15)

• Ferroelectric polarization flop in a frustrated magnet MnWO${}_4$ induced by magnetic fields
• Slowing Out of Equilibrium Near the QCD Critical Point
• Universality of phase transitions of frustrated antiferromagnets
• A New Multiferroic Material: MnWO4
• Relations between Short Range and Long Range Ising models
• Fixed Points Structure & Effective Fractional Dimension for O(N) Models with Long-Range Interactions
• Nature of Long-Range Order in Stripe-Forming Systems with Long-Range Repulsive Interactions
• Critical slowing down near the multiferroic phase transition in MnWO${}_4$
• Aging at Criticality in Model C Dynamics
• Spin fluctuations in the stacked-triangular antiferromagnet YMnO3
• Quantum and thermal melting of stripe forming systems with competing long ranged interactions
• Scaling behavior of a square-lattice Ising model with competing interactions in a uniform field
• Magnetoelastic effects in multiferroic YMnO${}_3$
• Role of further-neighbor interactions in modulating the critical behavior of the Ising model with frustration
• Renormalization group for the ${\phi }^4$-theory with long-range interaction and the critical exponent $\eta$ of the Ising model