THESIS
2017
xiv, 106 pages : illustrations ; 30 cm
Abstract
In this thesis I study superconductivity and topological phases in condensed matter
systems. First I briefly introduce some concepts of topological phases as well
as BCS theory of superconductivity. Then I will show a new experimental scheme
for engineering topological superconductors. In this scheme, by manipulating the
superlattice structure of organic molecules placed on the top of a superconductor
with Rashba spin-orbit coupling, topological superconducting phases can be achieved
without fine-tuning the chemical potential. Moreover, superconductors with different
Chern numbers can be obtained by changing the superlattice structure of the organic
molecules. Next I will show that giant spin currents can be induced by using nodal
topological superconductors due to selective eq...[
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In this thesis I study superconductivity and topological phases in condensed matter
systems. First I briefly introduce some concepts of topological phases as well
as BCS theory of superconductivity. Then I will show a new experimental scheme
for engineering topological superconductors. In this scheme, by manipulating the
superlattice structure of organic molecules placed on the top of a superconductor
with Rashba spin-orbit coupling, topological superconducting phases can be achieved
without fine-tuning the chemical potential. Moreover, superconductors with different
Chern numbers can be obtained by changing the superlattice structure of the organic
molecules. Next I will show that giant spin currents can be induced by using nodal
topological superconductors due to selective equal spin Andreev reflection (SESAR).
SESAR is related to spin-triplet correlations at the edge of nodal topological superconductors.
Superconductivity induced in flat band systems is also discussed. Flat
band superconductors have two important features: (1) The critical temperatures of
flat band supercondutors are very high due to the divergent density of states near
Fermi surface. (2) At high temperature the fluctuation effect becomes important and
the mean field theory is no longer valid.
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