scholarly journals Numerical-Diagonalization Study of Magnetization Process of Frustrated Spin-1/2 Heisenberg Antiferromagnets in Two Dimensions: —Triangular- and Kagome-Lattice Antiferromagnets—

2018 ◽  
Vol 87 (6) ◽  
pp. 063706 ◽  
Author(s):  
Hiroki Nakano ◽  
Tôru Sakai
Keyword(s):  
Two Dimensions ◽  
Magnetization Process ◽  
Kagome Lattice ◽  
Kagomé Lattice ◽  
Heisenberg Antiferromagnets ◽  
Frustrated Spin

scholarly journals On the topological immunity of corner states in two-dimensional crystalline insulators

2020 ◽  
Vol 5 (1) ◽  
Author(s):  
Guido van Miert ◽  
Carmine Ortix
Keyword(s):  
Topological Insulator ◽  
Rotational Symmetry ◽  
Higher Order ◽  
Two Dimensions ◽  
Edge States ◽  
Kagome Lattice ◽  
Kagomé Lattice ◽  
Mistaken Identity ◽  
Boundary States ◽  
Charge Mode

Abstract A higher-order topological insulator (HOTI) in two dimensions is an insulator without metallic edge states but with robust zero-dimensional topological boundary modes localized at its corners. Yet, these corner modes do not carry a clear signature of their topology as they lack the anomalous nature of helical or chiral boundary states. Here, we demonstrate using immunity tests that the corner modes found in the breathing kagome lattice represent a prime example of a mistaken identity. Contrary to previous theoretical and experimental claims, we show that these corner modes are inherently fragile: the kagome lattice does not realize a higher-order topological insulator. We support this finding by introducing a criterion based on a corner charge-mode correspondence for the presence of topological midgap corner modes in n-fold rotational symmetric chiral insulators that explicitly precludes the existence of a HOTI protected by a threefold rotational symmetry.

Emergence of spin singlets with inhomogeneous gaps in the kagome lattice Heisenberg antiferromagnets Zn-barlowite and herbertsmithite

2021 ◽  
Author(s):  
Jiaming Wang ◽  
Weishi Yuan ◽  
Philip M. Singer ◽  
Rebecca W. Smaha ◽  
Wei He ◽  
...  
Keyword(s):  
Kagome Lattice ◽  
Kagomé Lattice ◽  
Heisenberg Antiferromagnets
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