Temperature-induced topological phase transitions: promoted vs. suppressed non-trivial topology

Abstract

We determine the topological phase diagram of BiTl(S${}_{1-\delta }$Se${}_{\delta }$)${}_2$ as a function of doping and temperature from first-principles calculations. Due to electron\textendash phonon interaction, the bands are renormalized at finite temperature, allowing for a transition between the trivial ($Z_2=0$) and non-trivial ($Z_2=1$) topological phase. We find two distinct regions of the phase diagram with non-trivial topology. In BiTlS${}_2$, the phonons promote the crystal to the topological phase at high temperature, while in BiTlSe${}_2$, the topological phase exists only at low temperature. This behaviour is explained by the symmetry of the phonon coupling potential, whereby the even phonon modes (whose potential is even under inversion) promote the topological phase and the odd phonon modes promote the trivial phase.

References in corpus (7)

• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• {\it Ab--initio} finite temperature excitons
• The temperature dependence of electronic eigenenergies in the adiabatic harmonic approximation
• Phonon-induced topological transitions and crossovers in Dirac materials
• Optical evidence of surface state suppression in Bi based topological insulators
• Phonon-induced topological insulation
• Electron-phonon correlations on spin texture of gapped helical Dirac Fermions

Cited by in corpus (5)

• Theory of Thermal Relaxation of Electrons in Semiconductors
• Temperature dependence of the bulk Rashba splitting in the bismuth tellurohalides
• Exact factorization-based density functional theory of electron-phonon systems
• Temperature dependence of the topological phase transition of BiTeI from first principles
• Phase transitions and scale invariance in topological Anderson insulators