Incoherent transport induced by a single static impurity in a Heisenberg chain

Abstract

The effect of a single static impurity on the many-body states and on the spin and thermal transport in the one-dimensional anisotropic Heisenberg chain at finite temperatures is studied. Whereas the pure Heisenberg model reveals Poisson level statistics and dissipationless transport due to integrability, we show using the numerical approach that a single impurity induces Wigner-Dyson level statistics and at high enough temperature incoherent transport within the chain, whereby the relaxation time and d.c. conductivity scale linearly with length.

arXiv comment5 pages, 5 figures

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• Many-Body Localization in the Age of Classical Computing
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• Local quenches with global effects in interacting quantum systems
• Eigenstate thermalization hypothesis beyond standard indicators: Emergence of random-matrix behavior at small frequencies
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• Relaxation and Thermalization of Isolated Many-Body Quantum Systems
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• Krylov complexity for non-local spin chains
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• Entanglement evolution after a global quench across a conformal defect
• Coexistence of diffusive and ballistic transport in integrable quantum lattice models
• Boundary Chaos
• Quantum interference-induced stability of repulsively bound pairs of excitations
• Fermionic Magic Resources of Quantum Many-Body Systems
• Bounding the resources for thermalizing many-body localized systems
• Quantifying operator spreading and chaos in Krylov subspaces with quantum state reconstruction
• Entanglement in dual unitary quantum circuits with impurities
• Transport properties of a spin-1/2 Heisenberg chain with an embedded spin-S impurity
• Ergodicity breaking transition in zero dimensions
• Boundary Chaos: Spectral Form Factor
• Local integrability breaking and exponential localization of leading Lyapunov vectors
• Absence of thermalization after a local quench and strong violation of the eigenstate thermalization hypothesis