Direct measurement of a beta function and an indirect check of the Schwinger effect near the boundary in Dirac-Weyl semimetals
arXiv:1902.02694 · doi:10.1103/PhysRevResearch.1.032002
Abstract
The electric field inside typical conductors drops down exponentially with the screening length determined by an intrinsic length scale of the system such as the density of mobile carriers. We show that in a classically conformal system with boundaries, where the intrinsic length scale is absent, the screening of an external electric field is governed by the quantum conformal anomaly associated with the renormalization of the electric charge. The electric field decays algebraically with a fractional power determined by the beta function of the system. We argue that this `anomalous conformal screening effect' is an indirect manifestation of the Schwinger pair production in relativistic field theory. We discuss the experimental feasibility of the proposed phenomenon in Dirac and Weyl semimetals what would allow direct experimental access to the beta function.
arXiv comment5 pages, 4 figures
References in corpus (35)
- Weyl and Dirac Semimetals in Three Dimensional Solids
- Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
- Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
- The Chiral Magnetic Effect
- Experimental discovery of Weyl semimetal TaAs
- Topological quantum chemistry
- Observation of a topological 3D Dirac semimetal phase in high-mobility Cd3As2
- The (High Quality) Topological Materials In The World
- Observation of the chiral magnetic effect in ZrTe5
- Discovery of a Weyl Fermion semimetal state in NbAs
- Signatures of the Adler-Bell-Jackiw chiral anomaly in a Weyl Fermion semimetal
- Negative Magnetoresistance in Dirac Semimetal Cd3As2
- Giant negative magnetoresistance induced by the chiral anomaly in individual Cd3As2 nanowires
- Gravitational Anomaly and Transport
- "Strongly interacting matter in magnetic fields": an overview
- Dirac vs. Weyl in topological insulators: Adler-Bell-Jackiw anomaly in transport phenomena
- Experimental signatures of the mixed axial-gravitational anomaly in the Weyl semimetal NbP
- One-Loop Renormalization of Lorentz-Violating Electrodynamics
- Anomaly related transport of Weyl fermions for Weyl semi-metals
- A condensed matter realization of the axial magnetic effect
- Quantum Criticality of Topological Phase Transitions in 3D Interacting Electronic Systems
- Theory of a quantum critical phenomenon in a topological insulator: (3+1)-dimensional quantum electrodynamics in solids
- A Nernst current from the conformal anomaly in Dirac and Weyl semimetals
- Emergent Lorentz symmetry near fermionic quantum critical points in two and three dimensions
- Anomalous Transport Due to the Conformal Anomaly
- Anomalous Transport in Holographic Boundary Conformal Field Theories
- Weyl Anomaly Induced Current in Boundary Quantum Field Theories
- Fingerprints of the conformal anomaly on the thermoelectric transport in Dirac and Weyl semimetals: Result from a Kubo formula
- Marginal Fermi liquid versus excitonic instability in 3D Dirac semimetals
- Nonequilibrium transport and statistics of Schwinger pair production in Weyl semimetals
- Conformal magnetic effect at the edge: a numerical study in scalar QED
- Anisotropic fixed points in Dirac and Weyl semimetals
- Chiral electric separation effect in Weyl semimetals
- Schwinger pair creation in Dirac semimetals in the presence of external magnetic and electric fields
- Large anomalous magnetic moment in three-dimensional Dirac and Weyl semimetals
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- Advances in QED with intense background fields
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