Topological invariants for holographic semimetals

• Main Authors: Yan Liu, Ya-Wen Sun
• Format: Article
• Language: English
• Published: SpringerOpen 2018-10-01
• Series: Journal of High Energy Physics
• Subjects: Holography and condensed matter physics (AdS/CMT); AdS-CFT Correspondence
• Online Access: http://link.springer.com/article/10.1007/JHEP10(2018)189

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.