Droplet localization in the random XXZ model and its manifestations

DOI10.1088/1751-8121/aa9739zbMath1382.82011arXiv1707.09665OpenAlexW2741129071MaRDI QIDQ4606132

Alexander Elgart, Günter Stolz, Abel Klein

Publication date: 1 March 2018

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.09665

zbMATH Keywords

Lieb-Robinson boundmany body localizationexponential clusteringXXZ spin chain in a random field

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (7)

Droplet states in quantum XXZ spin systems on general graphs ⋮ Manifestations of dynamical localization in the disordered XXZ spin chain ⋮ Slow propagation in some disordered quantum spin chains ⋮ Entanglement of a class of non-Gaussian states in disordered harmonic oscillator systems ⋮ Many-body localization in the droplet spectrum of the random XXZ quantum spin chain ⋮ Towards localization in long-range continuous interactive Anderson models ⋮ Bounds on the entanglement entropy of droplet states in the XXZ spin chain

Cites Work

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• Lieb-Robinson bounds and the exponential clustering theorem
• Spectral gap and exponential decay of correlations
• Metal--insulator transition in a weakly interacting many-electron system with localized single-particle states
• Propagation of correlations in quantum lattice systems
• Area laws in a many-body localized state and its implications for topological order
• Localization properties of the disordered XY spin chain
• Droplet states in the \(XXZ\) Heisenberg chain.

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