We provide a pedagogical review on the calculation of highly excited eigenstates of disordered interacting quantum systems which can undergo a many-body localization (MBL) …
Multifractal dimensions allow for characterizing the localization properties of states in complex quantum systems. For ergodic states the finite-size versions of fractal dimensions …
Multifractals arise in various systems across nature whose scaling behavior is characterized by a continuous spectrum of multifractal exponents Δ q. In the context of Anderson …
We demonstrate many-body multifractality of the Bose-Hubbard Hamiltonian's ground state in Fock space, for arbitrary values of the interparticle interaction. Generalized fractal …
The Dicke model exhibits a variety of phase transitions. The quantum phase transition from the normal phase to the super-radiant phase is marked by a dramatic change in the scaling …
We investigate a non-Hermitian Aubry-André-Harper model with short-range as well as long- range p-wave pairing. Here, the non-Hermiticity is introduced through the on-site potential. A …
S Savitz, C Peng, G Refael - Physical Review B, 2019 - APS
Anderson localization on treelike graphs such as the Bethe lattice, Cayley tree, or random regular graphs has attracted attention due to its apparent mathematical tractability …
We study coherent forward scattering (CFS) in critical disordered systems, whose eigenstates are multifractals. We give general and simple arguments that make it possible to …
IS Burmistrov - arXiv preprint arXiv:2210.10539, 2022 - arxiv.org
arXiv:2210.10539v3 [cond-mat.dis-nn] 10 Apr 2023 Page 1 Comment on “Super-universality in Anderson localization” IS Burmistrov1 1L. D. Landau Institute for Theoretical Physics, acad …