D-instanton Effects on the Holographic Weyl Semimetals

TL;DR

This paper explores how D-instanton effects influence the phase structure and transport phenomena in holographic Weyl semimetals, revealing a transition to a topological insulator phase.

Contribution

It provides a top-down holographic analysis of D-instanton impacts on Weyl semimetals, including phase diagrams and anomalous Hall effects.

Findings

Phase diagram showing electron mass, instanton number, and temperature effects.

Identification of a gapped phase transitioning to a topological insulator.

Calculation of non-linear conductivities and anomalous Hall phenomena.

Abstract

We investigate D-insatnton effects on the holographic Weyl semimetal in top-down approach. From the free energy of the D7 brane embedding solutions, we get phase diagram in terms of the electron mass, instanton number, and temperature in the unit of the weyl parameter. We calculate non-linear conductivities from the regularity condition of the probe D7 brane and investgate anomalous Hall phenomena in the boundary system. From the study of the phase diagram, we suggest the gaped phase induced by the instanton to a topological insulator.