Scaling of entanglement entropy at quantum critical points in random spin chains
arXiv:2307.00062 · doi:10.1103/PhysRevB.108.L241113
Abstract
We study the scaling properties of the entanglement entropy (EE) near quantum critical points in interacting random antiferromagnetic (AF) spin chains. Using density-matrix renormalization group, we compute the half-chain EE near the topological phase transition between Haldane and Random Singlet phases in a disordered spin-1 chain. It is found to diverge logarithmically in system size with an effective central charge at the quantum critical point (QCP). Moreover, a scaling analysis of EE yields the correlation length exponent . Our unbiased calculation establishes that the QCP is in the universality class of the infinite-randomness fixed point predicted by previous studies based on strong disorder renormalization group technique. However, in the disordered spin-1/2 Majumdar-Ghosh chain, where a valence bond solid phase is unstable to disorder, the crossover length exponent obtained from a scaling analysis of EE disagrees with the expectation based on Imry-Ma argument. We provide a possible explanation.
arXiv comment8 pages, 2 figures. v2: added references, minor revisions
References in corpus (47)
- Entanglement Entropy and Quantum Field Theory
- Area laws for the entanglement entropy - a review
- Entanglement in quantum critical phenomena
- Topological entanglement entropy
- Detecting topological order in a ground state wave function
- Scaling of Entanglement close to a Quantum Phase Transitions
- Geometric and Renormalized Entropy in Conformal Field Theory
- Entanglement in a simple quantum phase transition
- Entanglement spectrum of a topological phase in one dimension
- Zoo of quantum-topological phases of matter
- Quantum Phase Transitions and Bipartite Entanglement
- Quantum correlations in spin chains at finite temperatures and quantum phase transitions
- Efficient numerical simulations with Tensor Networks: Tensor Network Python (TeNPy)
- Local entanglement and quantum phase transition in the Hubbard model
- Entanglement and quantum phase transition in the extended Hubbard model
- Entanglement spectrum of topological insulators and superconductors
- Entanglement entropy of random quantum critical points in one dimension
- Entanglement Entropy dynamics in Heisenberg chains
- Entanglement entropy of 2D conformal quantum critical points: hearing the shape of a quantum drum
- Entanglement entropy in fermionic Laughlin states
- Topological characterization of fractional quantum Hall ground states from microscopic Hamiltonians
- Ground-State Fidelity and Bipartite Entanglement in the Bose-Hubbard Model
- Two-site entropy and quantum phase transitions in low-dimensional models
- Scaling of Entanglement Entropy in the Random Singlet Phase
- The entanglement negativity in random spin chains
- An Impurity Driven Phase Transition in the Antiferromagnetic Spin-1 Chain
- Momentum polarization: an entanglement measure of topological spin and chiral central charge
- Criticality and entanglement in random quantum systems
- Percolation Transition in the random antiferromagnetic spin-1 chain
- Entanglement spectrum of random-singlet quantum critical points
- Infinite-Randomness Fixed Points for Chains of Non-Abelian Quasiparticles
- Correlation amplitude and entanglement entropy in random spin chains
- Finite-size scaling of the entanglement entropy of the quantum Ising chain with homogeneous, periodically modulated and random couplings
- Phases of random antiferromagnetic spin-1 chains
- Entanglement entropy of the random spin-1 Heisenberg chain
- Permutation-Symmetric Multicritical Points in Random Antiferromagnetic Spin Chains
- Entanglement dynamics of a many-body localized system coupled to a bath
- Quantum Entanglement as a Diagnostic of Phase Transitions in Disordered Fractional Quantum Hall Liquids
- Entanglement spectrum and entangled modes of random XX spin chains
- Entanglement Entropy in Random Quantum Spin-S Chains
- Random Antiferromagnetic Spin-1/2 Chains with Competing Interactions
- Generation of Large Moments in a Spin-1 Chain with Random Antiferromagnetic Couplings
- Evolution of quantum entanglement with disorder in fractional quantum Hall liquids
- Adaptive Density Matrix Renormalization Group for Disordered Systems
- Adaptive Density-Matrix Renormalization-Group study of the disordered antiferromagnetic spin-1/2 Heisenberg chain
- Schmidt gap in random spin chains
- Random singlet-like phase of disordered Hubbard chains