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A bottom-up approach to topological insulators and semimetals : bulk-edge correspondence and disorder effectsA bottom-up approach to topological insulators and semimetals : bulk-edge correspondence and disorder effects - Ken Imura

Université d’Hiroshima


Au Parc Club - Bât 18/20 - Orsay

Different types of topologically non-trivial ground states and associated quantum phase transitions are (still) of much attention these days ; cf. Nobel Prize in Physics 2016. Based on simple models [1], I will start by comparing different types of such topologically non-trivial phases, focusing mainly on topological insulators (TI) and semimetals ; the latter also called Weyl semimetals (WSM). Bulk-edge correspondence (BEC) is a defining property common to all kinds of topologically non-trivial phenomena ; here, I will discuss some simple examples of BEC in the system of TI and WSM. Existence of topologically protected surface states makes TI nanostructures also useful, serving as a platform for dissipationless electronic transport [2]. Robustness of WSM leads to a novel type quantum criticality in the presence of disorder [3].

[1] Phys. Rev. B 94, 235414 (2016)
[2] Phys. Rev. B 88, 045408 (2013)

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