Phonon-induced topological insulation

Abstract

We develop an approximate theory of phonon-induced topological insulation in Dirac materials. In the weak coupling regime, long wavelength phonons may favor topological phases in Dirac insulators with direct and narrow bandgaps. This phenomenon originates from electron-phonon matrix elements, which change qualitatively under a band inversion. A similar mechanism applies to weak Coulomb interactions and spin-independent disorder; however, the influence of these on band topology is largely independent of temperature. As applications of the theory, we evaluate the temperature-dependence of the critical thickness and the critical stoichiometric ratio for the topological transition in CdTe/HgTe quantum wells and in BiTl(S${}_{1-\delta }$Se${}_{\delta }{)}_2$, respectively.

15 pages, 8 figures

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Cited by in corpus (32)

• Temperature effects in the band structure of topological insulators
• Correlation effects on electron-phonon coupling in semiconductors: many-body theory along thermal lines
• Vibrational averages along thermal lines
• Signatures of the chiral anomaly in phonon dynamics
• The impact of exciton delocalization on exciton-vibration interactions in organic semiconductors
• Temperature-induced topological phase transitions: promoted vs. suppressed non-trivial topology
• Giant electron-phonon interactions in molecular crystals and the importance of non-quadratic coupling
• Symmetry-protected Topological Phases at Finite Temperature
• Dirac Polarons and Resistivity Anomaly in ZrTe5 and HfTe5
• Unraveling the topology of ZrTe${}_5$ by changing temperature
• Detecting band inversions by measuring the environment: fingerprints of electronic band topology in bulk phonon linewidths
• Temperature dependence of the bulk Rashba splitting in the bismuth tellurohalides
• Theory of temperature dependent phonon-renormalized properties
• Phonon-Induced Topological Transition to a Type-II Weyl Semimetal
• Topological phase transition between distinctWeyl semimetal states in MoTe2
• Phonon-induced topological insulating phases in group IV-VI semiconductors
• Topological phase transitions at finite temperature
• Temperature dependence of the topological phase transition of BiTeI from first principles
• Topological semimetallic phase in PbO${}_2$ promoted by temperature
• Robust edge states induced by electron-phonon interaction in graphene nanoribbons
• Towards temperature-induced topological phase transition in SnTe: A first principles study
• First-order quantum phase transition in three-dimensional topological band insulators
• Topological Nontrivial Phase in Hexagonal Antiperovskites A3BiB (A=Ba,Sr; B=P,N)
• Impact of novel electron-phonon coupling mechanisms on valley physics in two-dimensional materials
• Effective spin dephasing mechanism in confined two-dimensional topological insulators
• Substrate-limited helical edge states
• Temperature effects in topological insulators of transition metal dichalcogenide monolayers
• Non-trivial phonon dynamics and significant electron-phonon coupling of the high frequency modes in a Dirac semimetal
• Phononic dynamical axion in magnetic Dirac insulators
• Ab-initio Simulations of Coherent Phonon-Induced Pumping of Carriers in Zirconium Pentatelluride
• Quasiparticle picture of topological phase transitions induced by interactions
• Emergent topological phases and coexistence of gapless and spectral-localized Floquet quantum spin Hall states via electron-phonon interaction