Long-range random transverse-field Ising model in three dimensions

Abstract

We consider the random transverse-field Ising model in $d=3$ dimensions with long-range ferromagnetic interactions which decay as a power $\alpha >d$ with the distance. Using a variant of the strong disorder renormalization group method we study numerically the phase-transition point from the paramagnetic side. The distribution of the (sample dependent) pseudo-critical points is found to scale with $1/\ln L$, $L$ being the linear size of the sample. Similarly, the critical magnetization scales with $(\ln L{)}^{\chi }/L^d$ and the excitation energy behaves as $L^{-\alpha }$. Using extreme-value statistics we argue that extrapolating from the ferromagnetic side the magnetization approaches a finite limiting value and thus the transition is of mixed-order.

8 pages, 9 figures

References in corpus (51)

• Engineered 2D Ising interactions on a trapped-ion quantum simulator with hundreds of spins
• Effective quantum spin systems with ion traps
• Emergence and Frustration of Magnetic Order with Variable-Range Interactions in a Trapped Ion Quantum Simulator
• Onset of a Quantum Phase Transition with a Trapped Ion Quantum Simulator
• Strong disorder RG approach of random systems
• Spread of correlations in long-range interacting quantum systems
• Infinite-randomness quantum Ising critical fixed points
• Entanglement entropy for the long range Ising chain
• A Numerical Study of the Random Transverse-Field Ising Spin Chain
• Effective Spin Quantum Phases in Systems of Trapped Ions
• Quantum phase transitions in transverse field spin models: from statistical physics to quantum information
• Strong disorder fixed point in absorbing state phase transitions
• Critical Behavior and Griffiths-McCoy Singularities in the Two-Dimensional Random Quantum Ising Ferromagnet
• Jamming Percolation and Glass Transitions in Lattice Models
• Core percolation on complex networks
• Long-range interactions and non-extensivity in ferromagnetic spin models
• Anomalous Behavior of Spin Systems with Dipolar Interactions
• Absorbing state phase transitions with quenched disorder
• The boundary between long-range and short-range critical behavior
• Critical behavior and Griffiths effects in the disordered contact process
• Relations between Short Range and Long Range Ising models
• Renormalization group study of the two-dimensional random transverse-field Ising model
• Discontinuous Percolation Transitions in Epidemic Processes, Surface Depinning in Random Media and Hamiltonian Random Graphs
• The Random Transverse Ising Spin Chain and Random Walks
• Phase transition of one dimensional bosons with strong disorder
• Out of equilibrium dynamics with Matrix Product States
• Infinite disorder scaling of random quantum magnets in three and higher dimensions
• Superfluid-insulator transition of disordered bosons in one-dimension
• Entanglement entropy at infinite randomness fixed points in higher dimensions
• Entanglement Entropy in the Two-Dimensional Random Transverse Field Ising Model
• Induced Random Fields in the LiHo${}_x$Y${}_{1-x}$F${}_4$ Quantum Ising Magnet in a Transverse Magnetic Field
• 1D Quantum Liquids with Power-Law Interactions: a Luttinger Staircase with Polar Molecules
• Complete devil's staircase and crystal--superfluid transitions in a dipolar XXZ spin chain: A trapped ion quantum simulation
• Influence of long-range interactions on the critical behavior of the Ising model
• $\mathrm{LiH}{\mathrm{o}}_{\mathrm{x}}{\mathrm{Y}}_{1-\mathrm{x}}{\mathrm{F}}_4$ as a random field Ising ferromagnet
• Numerical renormalization group study of random transverse Ising models in one and two space dimensions
• Renormalization group study of random quantum magnets
• Anomalous discontinuity at the percolation critical point of active gels
• Random quantum magnets with broad disorder distribution
• Critical behavior and entanglement of the random transverse-field Ising model between one and two dimensions
• Mixed order transition and condensation in exactly soluble one dimensional spin model
• Random transverse-field Ising chain with long-range interactions
• Density Profiles in Random Quantum Spin Chains
• Extraordinary variability and sharp transitions in a maximally frustrated dynamic network
• Improved numerical methods for infinite spin chains with long-range interactions
• Long-range epidemic spreading in a random environment
• Strong disorder renormalization group study of S=1/2 Heisenberg antiferromagnet layers/bilayers with bond randomness, site dilution and dimer dilution
• Correlated random fields in dielectric and spin glasses
• Dyson Hierarchical Long-Ranged Quantum Spin-Glass via real-space renormalization
• Dyson hierarchical quantum ferromagnetic Ising chain with pure or random transverse fields
• Infinite-disorder critical points of models with stretched exponential interactions

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• Random quantum Ising model with three-spin couplings
• Multipartite Entanglement in the Random Ising Chain
• Finite size scaling for the Many-Body-Localization Transition : finite-size-pseudo-critical points of individual eigenstates
• Random Ising chain in transverse and longitudinal fields: Strong disorder RG study
• Persistence discontinuity in disordered contact processes with long-range interactions
• Long-range interactions from $U\left(1\right)$ gauge fields via dimensional mismatch
• Strong Disorder Renormalization Group Method for Bond Disordered Antiferromagnetic Quantum Spin Chains with Long Range Interactions: Ground State Properties
• Renormalization theory of disordered contact processes with heavy-tailed dispersal
• Smoothly vanishing density in the contact process by an interplay of disorder and long-distance dispersal
• Strong Disorder Renormalization Group Method for Bond Disordered Antiferromagnetic Quantum Spin Chains with Long Range Interactions: Excited States and Finite Temperature Properties
• Random transverse and longitudinal field Ising chains