An improved holographic nodal line semimetal

Abstract

We study an improved holographic model for the strongly coupled nodal line semimetal which satisfies the duality relation between the rank two tensor operators $\bar{\psi }{\gamma }^{\mu \nu }\psi$ and $\bar{\psi }{\gamma }^{\mu \nu }{\gamma }^5\psi$. We introduce a Chern-Simons term and a mass term in the bulk for a complex two form field which is dual to the above tensor operators and the duality relation is automatically satisfied from holography. We find that there exists a quantum phase transition from a topological nodal line semimetal phase to a trivial phase. In the topological phase, there exist multiple nodal lines in the fermionic spectrum which are topologically nontrivial. The bulk geometries are different from the previous model without the duality constraint, while the resulting properties are qualitatively similar to those in that model. This improved model provides a more natural ground to analyze transports or other properties of strongly coupled nodal line semimetals.

arXiv comment33 pages, 9 figures, published version

References in corpus (43)

• Weyl and Dirac Semimetals in Three Dimensional Solids
• Topological nodal semimetals
• Topological nodal line semimetals
• String Theory, Quantum Phase Transitions and the Emergent Fermi-Liquid
• Non-Fermi liquids from holography
• Weyl Metals
• Holographic quantum matter
• Real-time response in AdS/CFT with application to spinors
• Notes on Anomaly Induced Transport
• Semi-Holographic Fermi Liquids
• Semi-local quantum liquids
• Topological Hamiltonian as an Exact Tool for Topological Invariants
• Stellar spectroscopy: Fermions and holographic Lifshitz criticality
• Fermionic Operator Mixing in Holographic p-wave Superfluids
• The holographic Weyl semi-metal
• Quantum phase transition between a topological and a trivial semimetal from holography
• Holographic quenches and anomalous transport
• A Holographic Flat Band
• Chiral hydrodynamics in strong external magnetic fields
• Fermion correlators in non-abelian holographic superconductors
• Odd viscosity in the quantum critical region of a holographic Weyl semimetal
• Conjecture on the Butterfly Velocity across a Quantum Phase Transition
• Spectral probes of the holographic Fermi groundstate: dialing between the electron star and AdS Dirac hair
• Axial Hall effect and universality of holographic Weyl semi-metals
• Topological nodal line semimetals in holography
• Holographic models for undoped Weyl semimetals
• Topological invariants for holographic semimetals
• Detecting Topological Quantum Phase Transitions via the c-Function
• An improved model of vector mesons in holographic QCD
• Surface States in Holographic Weyl Semimetals
• AC conductivity for a holographic Weyl Semimetal
• A smeared quantum phase transition in disordered holography
• Completing the framework of AdS/QCD: h_1/b_1 mesons and excited omega/rho's
• Phase transitions in a holographic multi-Weyl semimetal
• 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
• Shear viscosity as a probe of nodal topology
• Massive Dirac fermions from holography
• Probing anomalous driving
• Nonlinear chiral transport from holography
• Anomalous Hall conductivity of the holographic ${\mathbb{Z}}_2$ Dirac semimetals
• Holographic quantum singularity

Cited by in corpus (10)

• Black hole interiors in holographic topological semimetals
• A Weyl-${\mathrm{Z}}_2$ semimetal from holography
• Entanglement entropy as an order parameter for strongly coupled nodal line semimetals
• Thermodynamics and transport of holographic nodal line semimetals
• Chiral magnetic waves in strongly coupled Weyl semimetals
• Momentum relaxation in a holographic Weyl semimetal
• Momentum relaxation of holographic Weyl semimetal from massive gravity
• Topological phase transitions of semimetal states in effective field theory models
• Coexistence of topological semimetal states in holography
• Topological invariant for holographic Weyl-${\mathrm{Z}}_2$ semimetal