Stripe order, impurities, and symmetry breaking in a diluted frustrated magnet

Abstract

We investigate the behavior of the frustrated $J_1$-$J_2$ Ising model on a square lattice under the influence of random dilution and spatial anisotropies. Spinless impurities generate a random-field type disorder for the spin-density wave (stripe) order parameter. These random fields destroy the long-range stripe order in the case of spatially isotropic interactions. Combining symmetry arguments, percolation theory and large-scale Monte Carlo simulations, we demonstrate that arbitrarily weak spatial interaction anisotropies restore the stripe phase. More specifically, the transition temperature $T_c$ into the stripe phase depends on the interaction anisotropy $\Delta J$ via $T_c\sim 1/|\ln (\Delta J)|$ for small $\Delta J$. This logarithmic dependence implies that very weak anisotropies are sufficient to restore the transition temperature to values comparable to that of the undiluted system. We analyze the critical behavior of the emerging transition and find it to belong to the disordered two-dimensional Ising universality class, which features the clean Ising critical exponents and universal logarithmic corrections. We also discuss the generality of our results and their consequences for experiments.

11 pages, 12 figures embedded

References in corpus (16)

• Theory of Intertwined Orders in High Temperature Superconductors
• Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
• Lattice symmetry breaking in cuprate superconductors: Stripes, nematics, and superconductivity
• Rare region effects at classical, quantum, and non-equilibrium phase transitions
• Plaquette valence bond solid in the frustrated Heisenberg quantum antiferromagnet on the square lattice
• Quantum Griffiths effects and smeared phase transitions in metals: theory and experiment
• Effects of dissipation on a quantum critical point with disorder
• Infinite-randomness quantum critical points induced by dissipation
• Theory of smeared quantum phase transitions
• Phase diagram of the Ising square lattice with competing interactions
• Location of the Potts-critical end point in the frustrated Ising model on the square lattice
• Universal dependence on disorder of 2D randomly diluted and random-bond +-J Ising models
• Scaling Analysis of the Site-Diluted Ising Model in Two Dimensions
• Emerging criticality in the disordered three-color Ashkin-Teller model
• The phase diagram of a frustrated Heisenberg model: from disorder to order and back again
• Percolation and Schramm-Loewner evolution in the 2D random-field Ising model

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