Rigorous Results on Topological Superconductivity with Particle Number Conservation

Effects of particle-number conservation on heat capacity of nuclei

K. Tanabe† Department of Physics, Faculty of Science, Saitama University, Sakura, Saitama 338-8570, Japan (Dated: June 8, 2005) Abstract By applying the particle-number projection to the finite-temperature BCS theory, the S-shaped heat capacity, which has recently been claimed to be a fingerprint of the superfluid-to-normal phase transition in nuclei, is reexamined. It is found that the particl...

Nuclear Pairing Problem with Exact Particle Number Conservation

Some Results on Forgotten Topological Coindex

The forgotten topological coindex (also called Lanzhou index) is defined for a simple connected graph G as the sum of the terms du2+dv2 over all non-adjacent vertex pairs uv of G, where du denotes the degree of the vertex u in G. In this paper, we present some inequalit...

Unconventional superconductivity on a topological insulator.

We study proximity-induced superconductivity on the surface of a topological insulator (TI), focusing on unconventional pairing. We find that the excitation spectrum becomes gapless for any spin-triplet pairing, such that both subgap bound states and Andreev reflection is strongly suppressed. For spin-singlet pairing, the zero-energy surface state in the d(xy)-wave case becomes a Majorana fermi...

Topological Mechanism of Superconductivity

We outline the basic ideas of the topologigical mechanisms of su-perconductivity. A gauged model of correlated electronic system where a topological fluid is formed as a result of a strong interaction is discussed .