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00925njm 22002777a 4500 dc Calixto, Manuel author Cordero Tejedor, Nicolás A. author Romera, Elvira author Castaños, Octavio author 2022-11 We analyze the structure of low energy Hamiltonian eigenstates in zincblende heterostructures (like HgTe/CdTe quantum wells) near the gamma point, under magnetic fields, to characterize topological phase transitions (TPT) under an information-theoretic perspective. Using information markers like entanglement, quantum fluctuations, fidelity susceptibility, participation ration, area in phase space, etc., we realize that higher Landau levels (LL) feel the topological phase transition slightly displaced with regard to the edge state, thus leading to the concept of “higher Landau level TPT”, as “echoes” of the standard edge state TPT. We compute the critical magnetic field and the critical HgTe layer thickness at which these information measures of higher Landau levels undergo a structural change. 0378-4371 http://hdl.handle.net/10259/8219 10.1016/j.physa.2022.128057 Topological phases 2D Dirac materials Landau levels Information theory Signatures of topological phase transitions in higher Landau levels of HgTe/CdTe quantum wells from an information theory perspective