Strongly disordered spin ladders

Abstract

The effect of quenched disorder on the low-energy properties of various antiferromagnetic spin ladder models is studied by a numerical strong disorder renormalization group method and by density matrix renormalization. For strong enough disorder the originally gapped phases with finite topological or dimer order become gapless. In these quantum Griffiths phases the scaling of the energy, as well as the singularities in the dynamical quantities are characterized by a finite dynamical exponent, z, which varies with the strength of disorder. At the phase boundaries, separating topologically distinct Griffiths phases the singular behavior of the disordered ladders is generally controlled by an infinite randomness fixed point.

arXiv comment11 pages, 15 figures, PRB accepted for publication

References in corpus (28)

• Surprises on the Way from 1D to 2D Quantum Magnets: the Novel Ladder Materials
• Infinite-randomness quantum Ising critical fixed points
• A Numerical Study of the Random Transverse-Field Ising Spin Chain
• Spin-Vacancy-Induced Long-Range Order in a New Haldane-Gap Antiferromagnet
• Spin-Peierls and Antiferromagnetic Phases in Cu{1-x}Zn{x}GeO{3}: A Neutron Scattering Study
• An Impurity Driven Phase Transition in the Antiferromagnetic Spin-1 Chain
• The Random Transverse Ising Spin Chain and Random Walks
• The Low-Energy Fixed Points of Random Quantum Spin Chains
• Percolation Transition in the random antiferromagnetic spin-1 chain
• Antiferromagnetic long-range order in Cu_{1-x}Zn_xGeO_3 with extremely low Zn concentration
• Exact renormalization of the random transverse-field Ising spin chain in the strongly ordered and strongly disordered Griffiths phases
• Finite Temperature and Dynamical Properties of the Random Transverse-Field Ising Spin Chain
• Coexistence of antiferromagnetism and dimerization in a disordered spin-Peierls model: exact results
• Density Matrix Renormalization Group Study of the Haldane Phase in Random One-Dimensional Antiferromagnets
• Weakly disordered spin ladders
• Random quantum magnets with broad disorder distribution
• Random antiferromagnetic quantum spin chains: Exact results from scaling of rare regions
• Disorder induced cross-over effects at quantum critical points
• Griffiths-McCoy singularities in random quantum spin chains: Exact results through renormalization
• Density Profiles in Random Quantum Spin Chains
• Random Spin-1 Quantum Chains
• Susceptibilities of Sr(Cu_(1-x)Zn_x)_2O_3 Studied by Quantum Monte Carlo Simulation
• Evidence of quantum criticality in the doped Haldane system Y2BaNiO5
• Enhanced magnetic fluctuations in doped spin-Peierls systems: a single-chain model analysis
• Phase diagram of doped spin-Peierls systems
• Comment on ``Density Matrix Renormalization Group Study of the Haldane Phase in Random One-Dimensional Antiferromagnets"
• Antiferromagnetism in a doped spin-Peierls model: classical and quantum behaviors
• Néel ordered versus quantum disordered behavior in doped spin-Peierls and Haldane gap systems

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• Many-Body Localization Transition in Random Quantum Spin Chains with Long-Range Interactions
• Dynamic structure factor of disordered quantum spin ladders
• Thermodynamics of strongly disordered spin ladders
• Comparison between disordered quantum spin 1/2 chains
• Tensor network renormalization group study of spin-1 random Heisenberg chains
• Characterizing Random-singlet State in Two-dimensional Frustrated Quantum Magnets and Implications for the Double Perovskite Sr${}_2$CuTe${}_{1-x}$W${}_x$O${}_6$
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• Strong disorder renormalization group on fractal lattices: Heisenberg models and magnetoresistive effects in tight binding models
• Excited-Eigenstate Entanglement Properties of XX Spin Chains with Random Long-Range Interactions
• Large Spin Formation and Thermodynamic Properties of Disordered Spin Ladders with Site Dilution
• Strongly disordered Hubbard model in one dimension: spin and orbital infinite randomness and Griffiths phases
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• Thermal Properties of Rung Disordered Two-leg Quantum Spin Ladders: Quantum Monte Carlo Study
• Correlations in Quantum Spin Ladders with Site and Bond Dilution
• Dynamic structure factor of Heisenberg bilayer dimer phases in the presence of quenched disorder and frustration
• Complete characterization of spin chains with two Ising symmetries
• Antiferromagnetic Heisenberg chains with bond alternation and quenched disorder
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