By Hiroki Isobe
This thesis elucidates electron correlation results in topological subject whose digital states carry nontrivial topological houses powerful opposed to small perturbations. as well as a entire advent to topological subject, this thesis offers a brand new viewpoint on correlated topological matter.
The ebook contains 3 topics, during which electron correlations in several types are thought of. the 1st makes a speciality of Coulomb interactions for massless Dirac fermions. utilizing a perturbative technique, the writer unearths emergent Lorentz invariance in a low-energy restrict and discusses how one can probe the Lorentz invariance experimentally. the second one topic goals to teach a precept for synthesizing topological insulators with universal, mild components. The interaction among the spin–orbit interplay and electron correlation is taken into account, and Hund's rule and electron filling are accordingly stumbled on to play a key position for a robust spin–orbit interplay vital for topological insulators. The final topic is category of topological crystalline insulators within the presence of electron correlation. not like non-interacting topological insulators, such - and 3-dimensional correlated insulators with replicate symmetry are verified to be characterised, respectively, via the Z4 and Z8 group through the use of the bosonization process and a geometric consideration.