The significance for proposed atomic experiments is that local measurements will show a large but nonthermal entropy in the many-body localized state, which develops slowly over a diverging time scale as in glassy systems.Expand

Two entanglement properties that are promising for the study of the many-body localization transition are explored: the variance of the half-chainEntanglement entropy of exact eigenstates and the long time change in entanglements after a local quench from an specific eigenstate.Expand

This work establishes the detailed Fermi-surface topology of the recently identified WSM TaP via combined angle-resolved quantum-oscillation spectra and band-structure calculations and observes a large negative longitudinal magnetoresistance.Expand

It is shown how h/e and h/2e flux oscillations of the conductance depend on doping and disorder strength, and a possible explanation for the experiments is provided, and further experiments that could verify the theory are discussed.Expand

An overview of some of the main quantum transport properties of TI surfaces and the efforts to use quantum interference phenomena, such as weak anti-localization and the Aharonov-Bohm effect, to verify in a transport experiment the Dirac nature of the surface state and its defining properties.Expand

It is shown that the one-particle density matrix ρ can be used to characterize the interaction-driven many-body localization transition in closed fermionic systems, and the inverse participation ratio of the natural orbitals is found that it is independent of system size in the localized phase.Expand

We address the breakdown of the bulk-boundary correspondence observed in non-Hermitian systems, where open and periodic systems can have distinct phase diagrams. The correspondence can be completely… Expand

The logarithm in the Shannon entropy of the transverse-field Ising model, which corresponds to entanglement in the 2D Ising conformal QCP, is found to have a singular dependence on the replica or Rényi index resulting from flows to different boundary conditions at theEntanglement cut.Expand

The data support an alternative scaling flow for which the conductivity at the Dirac point increases logarithmically with sample size in the absence of intervalley scattering--without reaching a scale-invariant limit.Expand

We study the dynamics of thermalization following a quantum quench using tensor-network methods. Contrary to the common belief that the rapid growth of entanglement and the resulting exponential… Expand