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Topological Antiferromagnetic Magnons

Topological Antiferromagnetic Magnons

ABSTRACT

We have studied a model for a non-collinear but coplanar antiferromagnetic spin texture on a two dimensional kagome lattice structure in the presence of Dzyaloshinskii-Moriya Interaction (DMI). We observed some interesting topological properties in our system i.e. the presence of non-trivial edge state in the wave function. This non-trivial edge state, which mainly surfaced in the presence of the DMI, showed robustness against the external magnetic eld and thus can be further studied to see how important transport properties can be computed.

TABLE OF CONTENTS

Abstract i
Acknowledgments ii
Dedication iii
Table of Contents iv
1 Introduction 1
1.1 THEORETICAL BACKGROUND . . . . . . . . . . . . . . . . . . . 4
1.1.1 Linear spin-wave theory . . . . . . . . . . . . . . . . . . . . . 4
1.1.2 Holstein-Primako Transformation . . . . . . . . . . . . . . 5
1.1.3 Topological Insulators and the Edge States . . . . . . . . . . . 7
2 LITERATURE REVIEW 9
3 METHODOLOGY 12
3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
3.2 The Kagome Lattice . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
3.2.1 Without Dzyaloshinskii Moriya Interaction . . . . . . . . . . . 14
3.2.2 With Dzyaloshinskii Moriya Interaction . . . . . . . . . . . . . 16
3.3 Construction of ribbon . . . . . . . . . . . . . . . . . . . . . . . . . . 18
4 RESULT AND DISCUSSION 22


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