Dynamical properties of the Haldane chain with bond disorder

Abstract

By using Lanczos exact diagonalization and quantum Monte Carlo combined with stochastic analytic continuation, we study the dynamical properties of the $S=1$ antiferromagnetic Heisenberg chain with different strengths of bond disorder. In the weak disorder region, we find weakly coupled bonds which can induce additional low-energy excitation below the one-magnon mode. As the disorder increases, the average Haldane gap closes at ${\delta }_{\Delta }\sim 0.5$ with more and more low-energy excitations coming out. After the critical disorder strength ${\delta }_c\sim 1$, the system reaches a random-singlet phase with prominent sharp peak at $\omega =0$ and broad continuum at $\omega >0$ of the dynamic spin structure factor. In addition, we analyze the distribution of random spin domains and numerically find three kinds of domains hosting effective spin-1/2 quanta or spin-1 sites in between. These "spins" can form the weakly coupled long-range singlets due to quantum fluctuation which contribute to the sharp peak at $\omega =0$.

arXiv comment8 pages, 9 figures

References in corpus (53)

• Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
• Many-body localization, thermalization, and entanglement
• Quantum Monte Carlo with Directed Loops
• Stochastic series expansion method with operator-loop update
• Computational Studies of Quantum Spin Systems
• Strong disorder RG approach of random systems
• Infinite-randomness quantum Ising critical fixed points
• Spectral Function for the S=1 Heisenberg Antiferromagetic Chain
• Quantum phase transitions in the Kane-Mele-Hubbard model
• Classical percolation transition in the diluted two-dimensional S=1/2 Heisenberg antiferromagnet
• High-energy magnon dispersion and multi-magnon continuum in the two-dimensional Heisenberg antiferromagnet
• Constrained sampling method for analytic continuation
• Random Bonds and Topological Stability in Gapped Quantum Spin Chains
• An Impurity Driven Phase Transition in the Antiferromagnetic Spin-1 Chain
• Accessing the dynamics of large many-particle systems using Stochastic Series Expansion
• Strong Disorder RG approach - a short review of recent developments
• Random Quantum Spin Chains: A Real-Space Renormalization Group Study
• Equal Time Correlations in Haldane Gap Antiferromagnets
• The Low-Energy Fixed Points of Random Quantum Spin Chains
• Percolation Transition in the random antiferromagnetic spin-1 chain
• Continuum in the spin excitation spectrum of a Haldane chain, observed by neutron scattering in CsNiCl3
• Density Matrix Renormalization Group Study of the Haldane Phase in Random One-Dimensional Antiferromagnets
• Spin Reduction Transition in Spin-3/2 Random Heisenberg Chains
• Phases of random antiferromagnetic spin-1 chains
• Griffiths-McCoy singularities in random quantum spin chains: Exact results through renormalization
• Entanglement entropy of the random spin-1 Heisenberg chain
• Randomness-induced quantum spin liquid behavior in the $s=$1/2 bond-random Heisenberg antiferromagnet on the pyrochlore lattice
• Permutation-Symmetric Multicritical Points in Random Antiferromagnetic Spin Chains
• Numerical renormalization-group study of spin correlations in one-dimensional random spin chains
• Randomness induced spin-liquid-like phase in the spin-$1/2$ $J_1-J_2$ triangular Heisenberg model
• Multi-particle States in Spin-1 Chain System CsNiCl3
• Phase diagram of the random Heisenberg antiferromagnetic spin-1 chain
• Self-assembling tensor networks and holography in disordered spin chains
• Dynamical properties of the $S=\frac{1}{2}$ random Heisenberg chain
• Monte Carlo study of a two-dimensional quantum ferromagnet
• Properties of the random-singlet phase: from the disordered Heisenberg chain to an amorphous valence-bond solid
• Spin-3/2 random quantum antiferromagnetic chains
• Ground state of the random-bond spin-1 Heisenberg chain
• Griffiths Effects in Random Heisenberg Antiferromagnetic S=1 Chains
• Spin-Dynamics of the antiferromagnetic S=1/2-Chain at finite magnetic Fields and intermediate Temperatures
• Erratum: Dynamics and scaling in a quantum spin chain material with bond randomness
• Finite-Temperature Dynamics and Thermal Intraband Magnon Scattering in Haldane Spin-One Chains
• Disorder-induced spin-liquid-like behavior in kagome-lattice compounds
• Exact diagonalization study of the anisotropic Heisenberg model related to YbMgGaO${}_4$
• 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
• Dynamical spin excitations of topological Haldane gapped phase in the $S=1$ Heisenberg antiferromagnetic chain with single-ion anisotropy
• Tensor network renormalization group study of spin-1 random Heisenberg chains
• Breakdown of the perturbative renormalization group for S >= 1 random antiferromagnetic spin chains
• Dynamics of weakly coupled random antiferromagnetic quantum spin chains
• Randomness-driven quantum phase transition in bond-alternating Haldane chain

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