We present the topology of magnons on triangular kagome lattice (TKL) by calculating its Berry curvature, Chern number, and edge states. In addition to ferromagnetic state, TKL hosts ferrimagnetic ground state as two sublattices can couple with each other either ferromagnetically or antiferromagnetically. Using Holstein-Primakoff (HP) boson theory Green's function approach, we find that has a r...

Topological fluctuations change their nature in the different phases of strong interactions, and interrelation topology, chiral symmetry confinement at high temperature has been investigated many lattice studies. This review is devoted to much less explored subject topology dense matter. After a short overview status zero density, which will serve as baseline for discussion, we present results ...

We explore the possibility of inducing a topological insulator phase in a honeycomb lattice lacking spin-orbit interaction using a metallic (or Fermi gas) environment. The lattice and the metallic environment interact through a density-density interaction without particle tunneling, and integrating out the metallic environment produces a honeycomb sheet with in-plane oscillating long-ranged int...

The index bundle of the Overlap lattice Dirac operator over the orbit space of lattice gauge fields is introduced and studied. Obstructions to the vanishing of gauge anomalies in the Overlap formulation of lattice chiral gauge theory have a natural description in this context. Our main result is a formula for the topological charge (Pontryargin number) of the index bundle over evendimensional s...

In this paper, we study the separtion axioms T0, T1, T2 and T5/2 on topological and semitopological residuated lattices and we show that they are equivalent on topological residuated lattices. Then we prove that for every infinite cardinal number α, there exists at least one nontrivial Hausdorff topological residuated lattice of cardinality α. In the follows, we obtain some conditions on (semi)...

In theoretical chemistry, molecular structure descriptors are used to compute properties of chemical compounds. Among them Wiener, Szeged and detour indices play significant roles in anticipating chemical phenomena. In the present paper, we study these topological indices with respect to their difference number.

The eccentricity connectivity index of a molecular graph G is defined as (G) = aV(G) deg(a)ε(a), where ε(a) is defined as the length of a maximal path connecting a to other vertices of G and deg(a) is degree of vertex a. Here, we compute this topological index for some infinite classes of dendrimer graphs.

The control of exciton transport in organic materials is of fundamental importance for the development of efficient light-harvesting systems. This transport is easily deteriorated by traps in the disordered energy landscape. Here, we propose and analyse a system that supports topological Frenkel exciton edge states. Backscattering of these chiral Frenkel excitons is prohibited by symmetry, ensu...

In the lattice CP models we studied the problems related to the measure of observables closely connected to the dynamically generated gauge field, such as the topological susceptibility and the string tension. We perfomed numerical simulations at N = 4 and N = 10. In order to test the universality, we adopted two different lattice formulations. Scaling and universality tests led to the conclusi...