Nematostriction in frustrated two-dimensional Heisenberg models

Abstract

We investigate the nematic phase transition in the Heisenberg $J_1$-$J_2$-model on square and triangular lattices, accounting for finite lattice compressibility and bond-length-dependent magnetic exchange. Using Nematic Bond Theory, a diagrammatic self-consistent method, we study the nematostriction that happens when the onset of nematic order in the spin-system drives a concomitant structural phase transition. We analyze the mechanisms by which the magnetoelastic couplings renormalize the critical temperature and modify the phonon spectrum. The magnetoelastic feedback can also alter fundamentally the nature of the phase transition. Specifically, on the square lattice, the transition shifts from continuous to weakly first-order (discontinuous) beyond a critical magnetoelastic coupling threshold. Conversely, on the triangular lattice, the transition remains discontinuous regardless of coupling strength.

Published version with more explanations than the original submission

References in corpus (11)

• Ising transition driven by frustration in a 2D classical model with SU(2) symmetry
• Lattice effects on nematic quantum criticality in metals
• Elastic coupling and spin-driven nematicity in iron-based superconductors
• Novel phases in a square-lattice frustrated ferromagnet : 1/3-magnetisation plateau, helicoidal spin-liquid and vortex crystal
• Finite-temperature properties of frustrated classical spins coupled to the lattice
• Quantum Annealed Criticality
• Arc-shaped structure factor in the $J_1$-$J_2$-$J_3$ classical Heisenberg model on the triangular lattice
• Quantum Annealed Criticality: A Scaling Description
• Nematic Bond Theory of Heisenberg Helimagnets
• Microscopic origin of the nemato-elastic coupling and dynamics of hybridized collective nematic-phonon excitations
• The Finite-Temperature Behavior of a Triangular Heisenberg Antiferromagnet