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Theoretical Study on Correlation Effects in Topological Matter (Hardcover, 1st ed. 2017)
Loot Price: R3,413
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Theoretical Study on Correlation Effects in Topological Matter (Hardcover, 1st ed. 2017)
Series: Springer Theses
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Total price: R3,433
Discovery Miles: 34 330
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This thesis elucidates electron correlation effects in topological
matter whose electronic states hold nontrivial topological
properties robust against small perturbations. In addition to a
comprehensive introduction to topological matter, this thesis
provides a new perspective on correlated topological matter. The
book comprises three subjects, in which electron correlations in
different forms are considered. The first focuses on Coulomb
interactions for massless Dirac fermions. Using a perturbative
approach, the author reveals emergent Lorentz invariance in a
low-energy limit and discusses how to probe the Lorentz invariance
experimentally. The second subject aims to show a principle for
synthesizing topological insulators with common, light elements.
The interplay between the spin-orbit interaction and electron
correlation is considered, and Hund's rule and electron filling are
consequently found to play a key role for a strong spin-orbit
interaction important for topological insulators. The last subject
is classification of topological crystalline insulators in the
presence of electron correlation. Unlike non-interacting
topological insulators, such two- and three-dimensional correlated
insulators with mirror symmetry are demonstrated to be
characterized, respectively, by the Z4 and Z8 group by using the
bosonization technique and a geometrical consideration.
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