Dynamic approach to finite-temperature magnetic phase transitions in the extended J1- J2 model with vacancy order

Abstract

The recently discovered iron-based superconductors A${}_y$Fe${}_{2-x}$Se${}_2$ ($A$=K, Rb, Cs, Tl) show a long-range antiferromagnetic order with an unexpected high transition temperature $T_N\sim 550$ K and a unique $\sqrt{5}\times \sqrt{5}$ vacancy order. Taking the extended $J_1$-$J_2$ model as a minimal model, we investigate the finite-temperature magnetic phase transitions in a square lattice with a $\sqrt{5}\times \sqrt{5}$ vacancy superstructure by using large-scale Monte Carlo simulations. By the parallel tempering technique, the block spin checkerboard and stripe antiferromagnetic states are detected to be the groundstates for three representative sets of model parameters. The short-time dynamic approach is applied to accurately determine the critical temperature as well as the static and dynamic exponents. Our results indicate that the dramatic enhancement of the critical temperature as observed in experiments should be mainly due to a combination effect of the vacancy order and the block lattice contraction.

23 pages, accepted for publication

References in corpus (29)

• Superconductivity at 38 K in the iron arsenide (Ba1-xKx)Fe2As2
• Magnetic Order versus superconductivity in the Iron-based layered La(O1-xFx)FeAs systems
• Superconductivity at 43 K in Samarium-arsenide Oxides $SmFeAs{O}_{1-x}{F}_x$
• High-temperature superconductivity in iron-based materials
• A Common Thread: the pairing interaction for the unconventional superconductors
• LaFeAsO${}_{1-x}$F${}_x$: A low carrier density superconductor near itinerant magnetism
• Superconductivity at 41 K and its competition with spin-density-wave instability in layered CeO${}_{1-x}$F${}_x$FeAs
• The superconductivity at 18 K in LiFeAs system
• Strong Correlations and Magnetic Frustration in the High Tc Iron Pnictides
• Thorium-doping induced superconductivity up to 56 K in Gd1-xThxFeAsO
• Incommensurate magnetic order in the alpha-Fe(Te,Se) superconductor systems
• Origin of the ~150 K Anomaly in LaOFeAs; Competing Antiferromagnetic Superexchange Interactions, Frustration, and Structural Phase Transition
• Fe-based high temperature superconductivity with Tc=31K bordering an insulating antiferromagnet in (Tl,K)FexSe2 Crystals
• Coexistence of the spin-density-wave and superconductivity in the (Ba,K)Fe2As2
• Proximity of antiferromagnetism and superconductivity in LaO${}_{1-x}$F${}_x$FeAs: effective Hamiltonian from ab initio studies
• Antiferromagnetic superexchange interactions in LaOFeAs
• Superconductivity at 32K and anisotropy in Tl0.58Rb0.42Fe1.72Se2 crystals
• Electronic Structure of Fe-Based Superconductors
• Ternary iron selenide K${}_{0.8}$Fe${}_{1.6}$Se${}_2$ is an antiferromagnetic semiconductor
• Mott transition in Modulated Lattices and Parent Insulator of (K,Tl)yFexSe2 Superconductors
• Electronic and magnetic structures of ternary iron selenides AFe${}_2$Se${}_2$ (A=K, Cs, or Tl)
• Room temperature antiferromagnetic order in superconducting X_yFe_{2-x}Se_ 2, (X= Rb, K): a powder neutron diffraction study
• Thermodynamics of Ising spins on the Triangular Kagome Lattice: Exact analytical method and Monte Carlo simulations
• Scaling Analysis of the Site-Diluted Ising Model in Two Dimensions
• Short-time domain-wall dynamics in the random-field Ising model with a driving field
• Electronic Structure and Mott Localization in Iron Deficient TlFe${}_{1.5}$Se${}_2$ with Superstructures
• Dynamic effect of overhangs and islands at the depinning transition in two-dimensional magnets
• Relaxation-to-creep transition of domain-wall motion in two- dimensional random-field Ising model with ac driving field
• Universality class of the depinning transition in the two-dimensional Ising model with quenched disorder

Cited by in corpus (4)

• Short-time Monte Carlo simulation of the majority-vote model on cubic lattices
• Nonsteady dynamic properties of a domain wall for the creep state under an alternating driving field
• Corrections to scaling in the dynamic approach to the phase transition with quenched disorder
• Nonsteady dynamics at the dynamic depinning transition in the two-dimensional Gaussian random-field Ising model