%0 Unpublished work %T Disorder-induced phase transitions in double HgTe quantum wells %+ Laboratoire Charles Coulomb (L2C) %+ Institute for Physics of Microstructures of the RAS %A Krishtopenko, Sergey %A Ikonnikov, A. %A Jouault, Benoit %A Teppe, Frederic %8 2023-11-24 %D 2023 %Z 2308.13440 %R 10.48550/arXiv.2308.13440 %K Mesoscale and Nanoscale Physics (cond-mat.mes-hall) %K Materials Science (cond-mat.mtrl-sci) %K FOS: Physical sciences %Z Physics [physics]/Condensed Matter [cond-mat]Preprints, Working Papers, ... %X By using the self-consistent Born approximation, we investigate disorder effect induced by shortrange impurities on the band-gap of a seminal two-dimensional (2D) system, whose phase diagram contains trivial, single-band-inverted and double-band-inverted states. Following the density-ofstates (DOS) evolution, we demonstrate multiple closings and openings of the band-gap with the increase of the disorder strength. Calculations of the spectral function describing the quasiparticles at the Γ point of the Brillouin zone evidence that the observed band-gap behavior is unambiguously caused by the topological phase transitions due to the mutual inversions between the first and second electron-like and hole-like subbands. We also find that an increase in the disorder strength in the double-inverted state always leads to the band-gap closing due to the overlap of the tails of DOS from conduction and valence subbands. %G English %2 https://hal.science/hal-04304435/document %2 https://hal.science/hal-04304435/file/2308.13440%20%281%29.pdf %L hal-04304435 %U https://hal.science/hal-04304435 %~ CNRS %~ L2C %~ UNIV-MONTPELLIER %~ UM-2015-2021 %~ UM-EPE