Topological invariants for holographic semimetals

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.

39 pages, 11 figures, 1 table; v2: match published version

References in corpus (8)

• Topological nodal line semimetals
• Real-time response in AdS/CFT with application to spinors
• Simplified topological invariants for interacting insulators
• Interacting Weyl semimetals: characterization via the topological Hamiltonian and its breakdown
• Conjecture on the Butterfly Velocity across a Quantum Phase Transition
• Topological nodal line semimetals in holography
• A smeared quantum phase transition in disordered holography
• Massive Dirac fermions from holography

Cited by in corpus (22)

• Topological nodal line semimetals in holography
• Detecting Topological Quantum Phase Transitions via the c-Function
• Black hole interiors in holographic topological semimetals
• Phase transitions in a holographic multi-Weyl semimetal
• A Weyl-${\mathrm{Z}}_2$ semimetal from holography
• An improved holographic nodal line semimetal
• Thermodynamics and transport of holographic nodal line semimetals
• Weyl semimetal/insulator transition from holography
• Chiral vortical conductivity across a topological phase transition from holography
• Stability of Topological character of Weyl Semi-metal, and Topological Dipole in Holography
• Momentum relaxation in a holographic Weyl semimetal
• Non-equilibrium dynamics in Holography
• Topological modes in relativistic hydrodynamics
• Momentum relaxation of holographic Weyl semimetal from massive gravity
• Coexistence of topological semimetal states in holography
• Topological phase transitions of semimetal states in effective field theory models
• Nonrelativistic fermions with holographic interactions and the unitary Fermi gas
• Holographic quantum singularity
• More on Topological Hydrodynamic Modes
• Topological invariant for holographic Weyl-${\mathrm{Z}}_2$ semimetal
• Holographic Topological Semimetals
• Nonequilibrium steady states in driven holographic Weyl semi-metals