Abstract

Starting from crystal, electronic and magnetic structures of Heusler compounds, this paper studies the new topological materials related to Heusler compounds and their topological properties, such as anomalous Hall effect, skyrmions, chiral anomaly, Dirac fermion, Weyl fermion, transverse Nernst thermoelectric effect, thermal spintronics and topological surface states. It can be discovered that the topological state of Heusler compound can be well protected due to its high symmetry, thus producing rich topological properties. Heusler materials belonged to Weyl semimetals usually have strong anomalous Hall effect, and the Heusler materials with doping or Anomalous Nernst Effect (ANE) usually have higher thermoelectric figure of merit. These anomalous effects are closely related to the strong spin–orbit interaction. In application, people can use the non-dissipative edge state of quantum anomalous Hall effect to develop a new generation of low-energy transistors and electronic devices. The conversion efficiency of thermoelectric materials can be improved by ANE, and topological superconductivity can be used to promote the progress of quantum computation.

Highlights

  • With Moore's law coming to an end, the upgrading of chips makes demands of the innovation of theory and materials

  • Heusler compound is one of the materials that can be used in topological insulator

  • The relation the Weyl fermion needs is satisfied in Heusler compound naturally, that is, the inversion symmetry is broken naturally

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Summary

INTRODUCTION

With Moore's law coming to an end, the upgrading of chips makes demands of the innovation of theory and materials. Heusler compound is one of the materials that can be used in topological insulator. It has many physical properties, such as anomalous Hall effect, anomalous Nernst effect, thermal spintronics and so on. The Heusler compound and Weyl semimetals can be studied simultaneously. The general formula of Heusler material has already been known, and nowadays, experimental physicists are trying to combine different elements. There are no general theories to predict a more practical Heusler material or Weyl semimetal. This paper attempts to study the topological properties of Heusler compound from its basic structure, so as to discover and summarize the rules

2.1.Introduction
TOPOLOGICAL PROPERTIES OF HEUSLER
CONCLUSIONS AND PROSPECTS
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