Topological invariants for holographic semimetals

TL;DR

This paper investigates the topological properties of holographic semimetals by computing their invariants from Green functions, confirming their topological nature through holographic methods.

Contribution

It introduces a holographic approach to calculate topological invariants of strongly interacting semimetals using the topological Hamiltonian method.

Findings

Nontrivial topological invariants found for holographic Weyl and nodal line semimetals

Supports the topological nature of these holographic systems

Demonstrates the effectiveness of the topological Hamiltonian method in holography

Abstract

We study the behavior of fermion spectral functions for the holographic topological Weyl and nodal line semimetals. We calculate the topological invariants from the Green functions of both holographic semimetals using the topological Hamiltonian method, which calculates topological invariants of strongly interacting systems from an effective Hamiltonian system with the same topological structure. Nontrivial topological invariants for both systems have been obtained and the presence of nontrivial topological invariants further supports the topological nature of the holographic semimetals.