Ispol'zuya prostuyu model' Burkova-Balentsa, my issledovali vliyanie nemagnitnogo besporyadka na elektronnye sostoyaniya mnogosloinoi struktury, sostoyashchei iz sloev kak topologicheskikh, tak i obychnykh dielektrikov. My poluchili fazovye diagrammy v zavisimosti ot urovnya besporyadka, pokazyvaya, chto nemagnitnyi besporyadok mozhet indutsirovat' perekhody mezhdu razlichnymi topologicheskimi fazami.

Dalee, my issledovali elektronnye svoistva mnogosloinogo topologicheskogo izolyatora (MTI) v usloviyakh nediagonal'nogo besporyadka, kogda parametry mezhsloinogo tunnelirovaniya fluktuiruyut ot sloya k sloyu. Snachala my reshili zadachu dlya edinichnogo nediagonal'nogo defekta, pri kotorom v sisteme prisutstvuet odin sloi s tunnel'nym parametrom, otlichnym ot ostal'nykh. Takoi defekt indutsiruet svyazannoe sostoyanie vnutri zapreshchennoi zony. Zavisimost' energii etogo sostoyaniya ot sily vozmushcheniya sushchestvenno razlichaetsya v trivial'noi i topologicheskoi fazakh MTI, chto delaet takuyu zavisimost' universal'nym lokal'nym indikatorom topologicheskogo poryadka.

Ispol'zuya prostoe diagrammnoe razlozhenie my vychislili plotnost' sostoyanii (PS) dlya chetyrekh topologicheskikh faz, realizuemykh v etoi sisteme: normal'nyi izolyator, topologicheskii izolyator, polumetall Veilya i faza anomal'nogo kvantovogo effekta Kholla (AKEKh). Nediagonal'nyi besporyadok porozhdaet novye ob'emnye sostoyaniya v shcheli i mozhet privesti k razrusheniyu topologicheskikh faz.

Nakonets, my izuchili vliyanie nediagonal'nogo besporyadka na lokalizatsiyu kraevykh mod v MTI. My otsenili dlinu lokalizatsii dlya trekh raspredelenii besporyadka: ravnomernogo, gaussova i lorentseva. Nediagonal'nyi besporyadok sokhranyaet kiral'nost', no pri etom mozhet sposobstvovat' delokalizatsii kraevykh mod i tunnelirovaniyu mezhdu nimi, podryvaya topologicheskuyu zashchitu. My vychislili popravku k prodol'noi kraevoi provodimosti, voznikayushchuyu iz-za tunnel'nykh effektov, i pokazali, chto takoi besporyadok mozhet vyzyvat' otklonenie kraevoi provodimosti ot kvantovannogo znacheniya.

Z.Z. Alisultanov, A. Kudlis, Phys. Rev. B 109, 165141 (2024) Z.Z. Alisultanov, A. Kudlis, Phys. Rev. B 112, 205108 (2025)