We show that anomalous Floquet topological insulators generate intrinsic, non-Hermitian topology on their boundary. As a consequence, removing boundary hopping from the time-evolution operator stops propagation of chiral edge modes, leading to skin effect. This does not occur in Chern insulators, however, which modes continue propagating. The effect is consequence nontrivial bulk operator, we b...

One of the important characteristics topological phases matter is topology underlying manifold on which they are defined. In this paper, we present sensitivity such to topology, by studying phase transitions induced due change in boundary conditions. We claim that these accompanied broken symmetries excitation space and gain further insight analyze various signatures like ground state degenerac...

This paper proposes an effective algorithm based on the level set method (LSM) to solve shape and topology optimization problems. Since the conventional LSM has several limitations, a binary level set method (BLSM) is used instead. In the BLSM, the level set function can only take 1 and -1 values at convergence. Thus, it is related to phase-field methods. We don’t need to solve the Hamilton-Jac...

In this paper, by presenting some notions and theorems, we obtaindifferent types of fuzzy topologies. In fact, we obtain someLowen-type  and Chang-type fuzzy topologies on general fuzzyautomata. To this end, first we define a Kuratowski fuzzy interioroperator which induces a  Lowen-type  fuzzy topology on the  set ofstates of a max- min general   fuzzy automaton. Also by  provingsome theorems, ...

Abstract For vector lattices E and F , where is Dedekind complete supplied with a locally solid topology, we introduce the corresponding absolute strong operator topology on order bounded operators $${\mathscr{L}}_{\mathrm{ob}}(E,F)$$ L ob ( E</m...

Masterclass “Topological quantum field theories, quantum groups and 3-manifold invariants”) This is a follow-up notes for the introductory talks (45min × 2) on the hyperfinite II1 factor and the standard form prepared for Prof. Ryszard Nest’s talks Oct.9-10. There may be typos or errors. 1 Talk 1 (Oct. 6 2014, 10:30-11:15) We define the notion of II1 factors and see one example, namely the hype...