Stripe order, impurities, and symmetry breaking in a diluted frustrated magnet
arXiv:2111.00101 · doi:10.1103/PhysRevB.105.024201
Abstract
We investigate the behavior of the frustrated - 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 into the stripe phase depends on the interaction anisotropy via for small . 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.
arXiv comment11 pages, 12 figures embedded
References in corpus (40)
- How to detect fluctuating order in the high-temperature superconductors
- Nematic order in iron superconductors - who is in the driver's seat?
- Theory of Intertwined Orders in High Temperature Superconductors
- Nematic Fermi Fluids in Condensed Matter Physics
- 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
- Stripe phases in high-temperature superconductors
- Infinite-randomness quantum Ising critical fixed points
- Quenched disorder and vestigial nematicity in the pseudo-gap regime of the cuprates
- A Numerical Study of the Random Transverse-Field Ising Spin Chain
- 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
- Disorder-induced rounding of certain quantum phase transitions
- Ashkin-Teller criticality and pseudo first-order behavior in a frustrated Ising model on the square lattice
- Griffiths Singularities in the Disordered Phase of a Quantum Ising Spin Glass
- Phase transitions in the frustrated Ising model on the square lattice
- Disorder in quantum many-body systems
- Effects of dissipation on a quantum critical point with disorder
- Infinite-randomness quantum critical points induced by dissipation
- Theory of smeared quantum phase transitions
- Hysteresis and Noise from Electronic Nematicity in High Temperature Superconductors
- Phase diagram of the Ising square lattice with competing interactions
- Critical Behaviour of the Randomly Spin--Diluted 2-d Ising Model --- A Grand Ensemble Approach
- Location of the Potts-critical end point in the frustrated Ising model on the square lattice
- Analysis of the phase transition for the Ising model on the frustrated square lattice
- Universal dependence on disorder of 2D randomly diluted and random-bond +-J Ising models
- Critical behaviour of the 2d spin diluted Ising model via the equilibrium ensemble approach
- Critical properties of random anisotropy magnets
- Susceptibility and Percolation in 2D Random Field Ising Magnets
- Phases and phase transitions in disordered quantum systems
- Cluster-glass phase in pyrochlore XY antiferromagnets with quenched disorder
- Disorder, Order, and Domain Wall Roughening in the 2d Random Field Ising Model
- Scaling Analysis of the Site-Diluted Ising Model in Two Dimensions
- Emerging criticality in the disordered three-color Ashkin-Teller model
- Domain walls and Schramm-Loewner evolution in the random-field Ising model
- Noise Predictions for STM in Systems with Local Electron Nematic Order
- 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
- Tuning a random field mechanism in a frustrated magnet