Stability of Topological character of Weyl Semi-metal, and Topological Dipole in Holography

Abstract

We discuss the stability of the topological invariant of the strongly interacting Weyl semi-metal at finite temperature. We find that if the interactions and temperature of the system are controlled by the holography, the topology is stable even in the case the Fermi surface become fuzzy. We give an argument to show that although the self energy changes the spectral function significantly to make the Fermi surface fuzzy, it cannot change the singularity structure of the Berry phase, which leads to the stability of the topology. We also find that depending on the mass term structure of the fermion Lagrangian, topological dipoles can be created.

arXiv comment26 pages,14 figures

References in corpus (22)

• Non-Abelian Anyons and Topological Quantum Computation
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Topological Field Theory of Time-Reversal Invariant Insulators
• Lorentz-Violating Extension of the Standard Model
• Topological Superconductivity and Superfluidity
• Topological Mott Insulators
• The effects of interactions on the topological classification of free fermion systems
• Fragile Topology and Wannier Obstructions
• Axionic field theory of (3+1)-dimensional Weyl semi-metals
• Single particle Green's functions and interacting topological insulators
• Band Topology and Linking Structure of Nodal Line Semimetals with Z2 Monopole Charges
• Real-time response in AdS/CFT with application to spinors
• Topology of Disconnected Elementary Band Representations
• Topological Hamiltonian as an Exact Tool for Topological Invariants
• Topological invariants for interacting topological insulators with inversion symmetry
• Fermionic Operator Mixing in Holographic p-wave Superfluids
• The holographic Weyl semi-metal
• Chiral Symmetry Breaking in Graphene
• Quantum phase transition between a topological and a trivial semimetal from holography
• A Holographic Flat Band
• Topological invariants for holographic semimetals
• Topological Invariants and Ground-State Wave Functions of Topological Insulators on a Torus

Cited by in corpus (8)

• Lorentz violation in Dirac and Weyl semimetals
• Black hole interiors in holographic topological semimetals
• A Weyl-${\mathrm{Z}}_2$ semimetal from holography
• An improved holographic nodal line semimetal
• The emergence of Strange metal and Topological Liquid near Quantum Critical Point in a solvable model
• Momentum relaxation in a holographic Weyl semimetal
• Momentum relaxation of holographic Weyl semimetal from massive gravity
• Topological invariant for holographic Weyl-${\mathrm{Z}}_2$ semimetal