Ergodicity Breaking Transition in Finite Disordered Spin Chains
arXiv:2004.01719 · doi:10.1103/PhysRevB.102.064207
Abstract
We study disorder-induced ergodicity breaking transition in high-energy eigenstates of interacting spin-1/2 chains. Using exact diagonalization we introduce a cost function approach to quantitatively compare different scenarios for the eigenstate transition. We study ergodicity indicators such as the eigenstate entanglement entropy and the spectral level spacing ratio, and we consistently find that an (infinite-order) Kosterlitz-Thouless transition yields a lower cost function when compared to a finite-order transition. Interestingly, we observe that the transition point in finite systems exhibits nearly thermal properties, i.e., ergodicity indicators at the transition are close to the random matrix theory predictions.
References in corpus (20)
- Thermalization and its mechanism for generic isolated quantum systems
- Many body localization and thermalization in quantum statistical mechanics
- Localization of interacting fermions at high temperature
- Many-body localization edge in the random-field Heisenberg chain
- The distribution of the ratio of consecutive level spacings in random matrix ensembles
- Phenomenology of fully many-body-localized systems
- Breakdown of thermalization in finite one-dimensional systems
- Integrals of motion in the Many-Body localized phase
- Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
- Generalized Thermalization in an Integrable Lattice System
- Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs Ensemble
- Absence of diffusion in an interacting system of spinless fermions on a one-dimensional disordered lattice
- Eigenstate thermalization within isolated spin-chain systems
- Entanglement Entropy of Eigenstates of Quantum Chaotic Hamiltonians
- Can we study the many-body localisation transition?
- Eigenstate thermalization hypothesis (ETH) and integrability in quantum spin chains
- Quantum Mutual Information as a Probe for Many-Body Localization
- Renormalization-group study of the many-body localization transition in one dimension
- Many-body localization of spinless fermions with attractive interactions in one dimension
- Decay of spin-spin correlations in disordered quantum and classical spin chains