Electromagnetic Response of Three-dimensional Topological Crystalline Insulators

Abstract

Topological crystalline insulators (TCI) are a new class of materials which have metallic surface states on select surfaces due to point group crystalline symmetries. In this letter, we consider a model for a three-dimensional (3D) topological crystalline insulator with Dirac nodes occurring on a surface that are protected by the mirror and time reversal symmetry. We demonstrate that the electromagnetic response for such a system is characterized by a $1$-form $b_{\mu }$. $b_{\mu }$ can be inferred from the locations of the surface Dirac nodes in energy-momentum space and couples to the surface Dirac nodes like a valley gauge field. From both the effective action and analytical band structure calculations, we show that the vortex core of $\vec{b}$ or a domain wall of a component of $\vec{b}$ can trap surface charges.

arXiv comment13 pages, 5 figures

References in corpus (37)

• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Topological Insulators in Three Dimensions
• Topological Insulators with Inversion Symmetry
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Topological Field Theory of Time-Reversal Invariant Insulators
• Topological invariants of time-reversal-invariant band structures
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Topological Crystalline Insulators
• Periodic table for topological insulators and superconductors
• Topological Crystalline Insulators in the SnTe Material Class
• Experimental realization of a topological crystalline insulator in SnTe
• Magnetoelectric polarizability and axion electrodynamics in crystalline insulators
• Topological crystalline insulator states in Pb(1-x)Sn(x)Se
• The Quantum Spin Hall Effect: Theory and Experiment
• Surface States of the Topological Insulator Bi_{1-x}Sb_x
• Experimental demonstration of the topological surface states protected by the time-reversal symmetry
• A topological crystalline insulator (TCI) phase via topological phase transition and crystalline mirror symmetry
• The space group classification of topological band insulators
• Inversion Symmetric Topological Insulators
• Bulk Topological Invariants in Noninteracting Point Group Symmetric Insulators
• Classification of topological insulators and superconductors in the presence of reflection symmetry
• Quantized Response and Topology of Insulators with Inversion Symmetry
• Topological classification with additional symmetries from Clifford algebras
• Strain-induced partially flat band, helical snake states, and interface superconductivity in topological crystalline insulators
• Topological Mirror Superconductivity
• Classification of Two Dimensional Topological Crystalline Superconductors and Majorana Bound States at Disclinations
• Majorana Fermions and Disclinations in Topological Crystalline Superconductors
• Symmetry-Protected Majorana Fermions in Topological Crystalline Superconductors: Theory and Application to Sr2RuO4
• Topological Classification of Crystalline Insulators with Point Group Symmetry
• Robust spin-polarized midgap states at step edges of topological crystalline insulators
• Entanglement Spectrum Classification of $C_n$-invariant Noninteracting Topological Insulators in Two Dimensions
• Patterns of Electro-magnetic Response in Topological Semi-metals
• Majorana zero modes in dislocations of Sr${}_2$RuO${}_4$
• Bulk invariants and topological response in insulators and superconductors with nonsymmorphic symmetries

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• Spin-Resolved Topology and Partial Axion Angles in Three-Dimensional Insulators
• Topological Electromagnetic Effects and Higher Second Chern Numbers in Four-Dimensional Gapped Phases
• Topological Field Theories of Three-Dimensional Rotation Symmetric Insulators: Coupling Curvature and Electromagnetism