How many surface modes does one see on the boundary of a Dirac material?

Abstract

We present full expressions for the surface part of polarization tensor of a Dirac fermion confined in a half-space in $3+1$ dimensions. We compare this tensor to the polarization tensor of eventual surface mode (which is a $2+1$ dimensional Dirac fermion) and find essential differences in the conductivities in both Hall and normal sectors. Thus, the interaction with electromagnetic field near the boundary differs significantly in the full model and in the effective theory for the surface mode.

arXiv comment5 pages, 4 figures; slightly improved version, published in Physical Review Letters

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Cited by in corpus (10)

• Topological polarization, dual invariants, and surface flat band in crystalline insulators
• The Casimir energy in terms of boundary quantum field theory: the QED case
• Bulk contributions to the Casimir interaction of Dirac materials
• Heat Kernel, Spectral Functions and Anomalies in Weyl Semimetals
• Geometric Approach to 3D Interfaces at Strong Coupling
• Holographic Anomalous Chiral Current Near a Boundary
• Anomaly inflow for local boundary conditions
• Holographic Anomalous Current at a Finite Temperature
• Enhancement of Anomalous Boundary Current by High Temperature
• Geometric Approaches to Quantum Fields and Strings at Strong Couplings