Holographic Topological Semimetals

TL;DR

This paper reviews how holographic duality models can be used to study strongly coupled topological semimetals, revealing novel transport phenomena and phase transitions in these quantum materials.

Contribution

It provides a comprehensive overview of holographic models for topological semimetals, including Weyl and nodal line semimetals, and explores their unique transport properties and phase transitions.

Findings

Holographic Weyl and nodal line semimetals constructed

Discovery of new transport properties like Hall viscosities

Insights into quantum phase transitions in topological semimetals

Abstract

The holographic duality allows to construct and study models of strongly coupled quantum matter via dual gravitational theories. In general such models are characterized by the absence of quasiparticles, hydrodynamic behavior and Planckian dissipation times. One particular interesting class of quantum materials are ungapped topological semimetals which have many interesting properties from Hall transport to topologically protected edge states. We review the application of the holographic duality to this type of quantum matter including the construction of holographic Weyl semimetals, nodal line semimetals, quantum phase transition to trivial states (ungapped and gapped), the holographic dual of Fermi arcs and how new unexpected transport properties, such as Hall viscosities arise. The holographic models promise to lead to new insights into the properties of this type of quantum matter.