Localization of Dirac fermions in finite-temperature gauge theory

M Giordano, TG Kovács - Universe, 2021 - mdpi.com
It is by now well established that Dirac fermions coupled to non-Abelian gauge theories can
undergo an Anderson-type localization transition. This transition affects eigenmodes in the …

[PDF][PDF] Shift-invert diagonalization of large many-body localizing spin chains

F Pietracaprina, N Macé, DJ Luitz, F Alet - SciPost Physics, 2018 - scipost.org
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 for random matrices, chaotic quantum maps, and many-body systems

A Bäcker, M Haque, IM Khaymovich - Physical Review E, 2019 - APS
Multifractal dimensions allow for characterizing the localization properties of states in
complex quantum systems. For ergodic states the finite-size versions of fractal dimensions …

Conformal invariance and multifractality at Anderson transitions in arbitrary dimensions

J Padayasi, I Gruzberg - Physical Review Letters, 2023 - APS
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 …

Many-body multifractality throughout bosonic superfluid and Mott insulator phases

J Lindinger, A Buchleitner, A Rodríguez - Physical review letters, 2019 - APS
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 …

Revisiting the phase transitions of the Dicke model

P Das, A Sharma - Physical Review A, 2022 - APS
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 …

Non-Hermitian Aubry-André-Harper model with short- and long-range -wave pairing

S Gandhi, JN Bandyopadhyay - Physical Review B, 2024 - APS
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 …

Anderson localization on the Bethe lattice using cages and the Wegner flow

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 …

Coherent forward scattering as a robust probe of multifractality in critical disordered media

M Martinez, G Lemarié, B Georgeot, C Miniatura… - SciPost Physics, 2023 - scipost.org
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 …

[PDF][PDF] Comment on" Super-universality in Anderson localization"

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 …