Percolation Transition in the random antiferromagnetic spin-1 chain

Abstract

We give a physical description in terms of percolation theory of the phase transition that occurs when the disorder increases in the random antiferromagnetic spin-1 chain between a gapless phase with topological order and a random singlet phase. We study the statistical properties of the percolation clusters by numerical simulations, and we compute exact exponents characterizing the transition by a real-space renormalization group calculation.

9 pages, 4 encapsulated Postscript figures, REVTeX 3.0

Cited by in corpus (66)

• Rare region effects at classical, quantum, and non-equilibrium phase transitions
• Strong disorder RG approach of random systems
• Infinite-randomness quantum Ising critical fixed points
• Disorder-Driven Non-Fermi Liquid Behavior of Correlated Electrons
• Griffiths effects and quantum critical points in dirty superconductors without spin-rotation invariance: One-dimensional examples
• Random Walkers in 1-D Random Environments: Exact Renormalization Group Analysis
• Effect of disorder on quantum phase transitions in anisotropic XY spin chains in a transverse field
• Dynamics and transport in random quantum systems governed by strong-randomness fixed points
• Nonequilibrium dynamics of random field Ising spin chains: exact results via real space RG
• Low-energy fixed points of random Heisenberg models
• Density Matrix Renormalization Group Study of the Haldane Phase in Random One-Dimensional Antiferromagnets
• Increasing of entanglement entropy from pure to random quantum critical chains
• Weakly disordered spin ladders
• Phases of random antiferromagnetic spin-1 chains
• Dynamics and Transport in Random Antiferromagnetic Spin Chains
• Random antiferromagnetic quantum spin chains: Exact results from scaling of rare regions
• Disorder induced cross-over effects at quantum critical points
• Strongly disordered spin ladders
• Permutation-Symmetric Multicritical Points in Random Antiferromagnetic Spin Chains
• Numerical renormalization-group study of spin correlations in one-dimensional random spin chains
• Nonadditive entropy for random quantum spin-S chains
• Phase diagram of the random Heisenberg antiferromagnetic spin-1 chain
• Reaction Diffusion Models in One Dimension with Disorder
• $S=1/2$ Chain-Boundary Excitations in the Haldane Phase of 1D $S=1$ Systems
• Spin-3/2 random quantum antiferromagnetic chains
• Griffiths Effects in Random Heisenberg Antiferromagnetic S=1 Chains
• Evidence of quantum criticality in the doped Haldane system Y2BaNiO5
• Long-range epidemic spreading in a random environment
• Random Antiferromagnetic Spin-1/2 Chains with Competing Interactions
• Emergent SU(3) symmetry in random spin-1 chains
• Bosonization and entanglement spectrum for one-dimensional polar bosons on disordered lattices
• Generation of Large Moments in a Spin-1 Chain with Random Antiferromagnetic Couplings
• Disorder Induced Phases in Higher Spin Antiferromagnetic Heisenberg Chains
• Numerical Analysis of the Bond-Random Antiferromagnetic S=1 Heisenberg Chain
• Disorder-induced phases in the S=1 antiferromagnetic Heisenberg chain
• Analytical and numerical studies of disordered spin-1 Heisenberg chains with aperiodic couplings
• Localization of spinons in random Majumdar-Ghosh chains
• Thermodynamics of strongly disordered spin ladders
• Role of Disorder on the Quantum Critical Point of a Model for Heavy Fermions
• Disordered topological metals
• Reentrant Random Quantum Ising Antiferromagnet
• Percolation in random environment
• Tensor network renormalization group study of spin-1 random Heisenberg chains
• Heat capacity of the site-diluted spin dimer system Ba3(Mn1-xVx)2O8
• Highly-symmetric random one-dimensional spin models
• Effects of randomness on the antiferromagnetic spin-1 chain
• Large Spin Formation and Thermodynamic Properties of Disordered Spin Ladders with Site Dilution
• Random free-fermion quantum spin chain with multi-spin interactions
• Breakdown of the perturbative renormalization group for S >= 1 random antiferromagnetic spin chains
• Schmidt gap in random spin chains
• Dynamics of weakly coupled random antiferromagnetic quantum spin chains
• Bond-randomness-induced Neel order in weakly coupled antiferromagnetic spin chains
• Randomness-driven quantum phase transition in bond-alternating Haldane chain
• Effect of long range connections on an infinite randomness fixed point associated with the quantum phase transitions in a transverse Ising model
• Griffiths-McCoy singularities in random quantum spin chains: Exact results
• Dynamical properties of the Haldane chain with bond disorder
• Activated scaling in disorder rounded first-order quantum phase transitions
• Random quantum Ising model with three-spin couplings
• Griffiths phases in the strongly disordered Kondo necklace model
• Random quantum Ising chains with competing interactions
• Scaling of entanglement entropy at quantum critical points in random spin chains
• Random-field-driven phase transitions in the ground state of the S=1 XXZ spin chain
• Renormalization-group investigation of the S=1 random antiferromagnetic Heisenberg Chain
• Emergent infinite-randomness fixed points from the extensive random bipartitions of the spin-1 Affleck-Kennedy-Lieb-Tasaki topological state
• Critical behavior of dirty parafermionic chains
• A single chain analysis of doped quasi one dimensional spin 1 compounds: paramagnetic versus spin 1/2 doping