2012
DOI: 10.1002/pssr.201206395
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Topological phase transition in bulk materials described by the coherent potential approximation technique

Abstract: Abstractmagnified imageWe consider the analogy between the topological phase transition which occurs on a surface of a non‐trivial insulator as a function of spatial coordinate, and the phase transition occurring in the bulk due to the change of internal parameters (such as crystal field and spin–orbit coupling). In both cases the system exhibits a Dirac cone, which is the universal manifestation of a topological phase transition, independent of the type of the driving parameters. In particular, this leads to … Show more

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Cited by 10 publications
(8 citation statements)
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“…The adopted DFT-CPA scheme provides an alternative approach to well-established techniques, such as the fully relativistic KKR-CPA 42 43 44 , often based on local-density approximation. To cite some recent example, KKR-CPA was widely and successfully used to address the effects of resonant impurities states in PbTe 17 45 , the effects of disorder on the quantum criticality in NbFe 2 , and chemical instabilities in Ba 1− x K x Fe 2 As 2 46 47 .…”
Section: Methodsmentioning
confidence: 99%
“…The adopted DFT-CPA scheme provides an alternative approach to well-established techniques, such as the fully relativistic KKR-CPA 42 43 44 , often based on local-density approximation. To cite some recent example, KKR-CPA was widely and successfully used to address the effects of resonant impurities states in PbTe 17 45 , the effects of disorder on the quantum criticality in NbFe 2 , and chemical instabilities in Ba 1− x K x Fe 2 As 2 46 47 .…”
Section: Methodsmentioning
confidence: 99%
“…The presence of band inversion in the bulk is considered a necessary but not sufficient condition for the presence of a topological insulator phase [ 53 ]. To this end, adiabatic continuity arguments have emerged as a powerful tool to characterize the topological nature of materials through ab initio calculations, and they have been used to predict new TI phases [ 54 , 55 , 56 , 57 , 58 ]. The process involves connecting a known topological material to a new structure through a series of adiabatic changes.…”
Section: Resultsmentioning
confidence: 99%
“…While the presence of band-inversion in the bulk is considered a necessary condition for topological insulators, it does not on its own guarantee the presence of a topologically non-trivial phase 18 . To this end, adiabatic continuity arguments have emerged as a powerful tool to characterize the topological nature of materials through ab initio calculations, and have been used to predict new TI phases [46][47][48][49][50] . The process involves connecting a known topological material to a new structure through a series of adiabatic changes which include straining the crystalline lattice, tuning the strength of SOC, and modifying the nuclear charge of constituent atoms within the constraint of overall charge neutrality 18 .…”
Section: Adiabatic Continuity and Topological Surface Statesmentioning
confidence: 99%
“…Five experimental papers [1][2][3][4][5] overview the recent status and challenges of TI nanostructures [1], magnetotransport and induced superconductivity [2], chemistry of Bi-based TI materials [3], molecular beam epitaxial growth of TI thin films [4], and angle-resolved photoemission spectroscopy (ARPES) with circular dichroism [5]. On the other hand, five theoretical papers [6][7][8][9][10] report the progress from different perspectives: materials design by firstprinciples calculations [6,7], the relations between TIs and thermoelectric materials [8], Floquet TIs [9], and the classification of topological states [10].…”
Section: Topological Insulatorsfrom Materials Design To Realitymentioning
confidence: 99%