Quantum phase transition between a topological and a trivial semimetal from holography

Abstract

We present a holographic model of a topological Weyl semimetal. A key ingredient is a time-reversal breaking parameter and a mass deformation. Upon varying the ratio of mass to time-reversal breaking parameter the model undergoes a quantum phase transition from a topologically nontrivial semimetal to a trivial one. The topological nontrivial semimetal is characterised by the presence of an anomalous Hall effect. The results can be interpreted in terms of the holographic renormalization group (RG) flow leading to restoration of time-reversal at the end point of the RG flow in the trivial phase.

6+6 pages, 4+2 figures; v3, typos corrected

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• Topological nodal line semimetals in holography
• Topological invariants for holographic semimetals
• Detecting Topological Quantum Phase Transitions via the c-Function
• Surface States in Holographic Weyl Semimetals
• AC conductivity for a holographic Weyl Semimetal
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• Black hole interiors in holographic topological semimetals
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• Entanglement entropy as an order parameter for strongly coupled nodal line semimetals
• Evidence for pressure-induced node-pair annihilation in Cd3As2
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• Negative magnetoresistivity in holography
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• Stability of Topological character of Weyl Semi-metal, and Topological Dipole in Holography
• Chiral vortical conductivity across a topological phase transition from holography
• Massive Dirac fermions from holography
• Towards holographic flat bands
• Chiral magnetic waves in strongly coupled Weyl semimetals
• Nonperturbative Lorentz Violation and Field Quantization
• Momentum relaxation in a holographic Weyl semimetal
• The mixed-state entanglement in holographic p-wave superconductor model
• Physical interpretation of large Lorentz violation via Weyl semimetals
• Holographic Charged Fluid with Chiral Electric Separation Effect
• Holographic $a$-functions and Boomerang RG Flows
• Non-equilibrium dynamics in Holography
• Momentum relaxation of holographic Weyl semimetal from massive gravity
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• Holographic study of shear viscosity and butterfly velocity for magnetic field-driven quantum criticality
• Anomalous Hall conductivity of the holographic ${\mathbb{Z}}_2$ Dirac semimetals
• Coexistence of topological semimetal states in holography
• Topological phase transitions of semimetal states in effective field theory models
• Probing holographic flat bands at finite density
• On valley asymmetry in a topological interaction for quasi-particles
• Nonrelativistic fermions with holographic interactions and the unitary Fermi gas
• Holographic quantum singularity
• Topological invariant for holographic Weyl-${\mathrm{Z}}_2$ semimetal
• Holographic Topological Semimetals