Electrically Tunable Conductance and Edge Modes in Topological Crystalline Insulator Thin Films: Tight-Binding Model Analysis

Abstract

We propose a minimal tight-binding model for thin films made of topological crystalline insulator (TCI) on the basis of the mirror and discrete rotational symmetries. The basic term consists of the spin-orbit interaction describing a Weyl semimetal, where gapless Dirac cones emerge at all the high symmetry points in the momentum space. We then introduce the mass term providing gaps to Dirac cones at our disposal. They simulate the thin films made of the [001], [111] and [110] TCI surfaces. TCI thin films are topological insulators protected by the mirror symmetry. We analyze the mirror-Chern number, the edge modes and the conductance by breaking the mirror symmetry with the use of electric field. We propose a multi-digit topological field-effect transistor by applying electric field independently to the right and left edges of a nanoribbon. Our results will open a new way to topological electronics.

8 pages, 5 figures

References in corpus (20)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Valley polarization in MoS2 monolayers by optical pumping
• Topological Crystalline Insulators
• Valley filter and valley valve in graphene
• Valley-Polarized Metals and Quantum Anomalous Hall Effect in Silicene
• Surface States of the Topological Insulator Bi_{1-x}Sb_x
• The space group classification of topological band insulators
• Photo-Induced Topological Phase Transition and a Single Dirac-Cone State in Silicene
• Coupling the valley degree of freedom to antiferromagnetic order
• Spin-Valleytronics in Silicene: Quantum-Spin-Quantum-Anomalous Hall Insulators and Single-Valley Semimetals
• Chiral anomaly, Charge Density Waves, and Axion Strings from Weyl Semimetals
• Coherent transport in graphene nanoconstrictions
• Spin-Valley Optical Selection Rule and Strong Circular Dichroism in Silicene
• Two types of Dirac-cone surface states on (111) surface of topological crystalline insulator SnTe
• Spatial distribution of local currents of massless Dirac fermions in quantum transport through graphene nanoribbons
• Observation of topological crystalline insulator surface states on (111)-oriented Pb${}_{1-x}$Sn${}_x$Se films
• Spin-polarized (001) surface states of the topological crystalline insulator Pb_{0.73}Sn_{0.27}Se
• Valleytronics on the Surface of Topological Crystalline Insulator: Elliptic Dichroism and Valley-Selective Optical Pumping
• I-V curve signatures of nonequilibrium-driven band gap collapse in magnetically ordered zigzag graphene nanoribbon two-terminal devices
• Incompatibility of modulated checkerboard patterns with the neutron scattering resonance peak in cuprate superconductors

Cited by in corpus (19)

• Topological Crystalline Insulators and Topological Superconductors: From Concepts to Materials
• Quantum anomalous Hall effect and related topological electronic states
• Coriolis Force Induced Quantum Hall Effect for Phonons
• Topological switch between second-order topological insulators and topological crystalline insulators
• Mirror winding number and helical edge modes in honeycomb lattice with hopping-energy texture
• Finite-size-effect-induced topological phase transition in a topological crystalline insulator
• Strong and weak second-order topological insulators with hexagonal symmetry and ${\mathbb{Z}}_3$ index
• Electrically Tunable Quantum Spin Hall State in Topological Crystalline Insulator Thin films
• Pseudospin 3/2 Fermions, Type-II Weyl Semimetals and Critical Weyl Semimetals in Tricolor Cubic Lattice
• Spin-valley system in a gated MoS${}_2$-monolayer quantum dot
• Quantum response theory for open systems and its application to Hall conductance
• Double Dirac Cones and Topologically Non-Trivial Phonons for Continuous, Square Symmetric (C${}_{4v}$ and C${}_{2v}$) Unit Cells
• Magnetic-Field Induced Semimetal in Topological Crystalline Insulator Thin Films
• Quantum Hall Effects in a Non-Abelian Honeycomb Lattice
• Fragility of the Dirac Cone Splitting in Topological Crystalline Insulator Heterostructures
• Momentum relaxation effects in 2D-Xene field effect device structures
• Light-induced switch based on edge modes in irradiated thin topological insulators
• Stability of the X-Y-phase of the two-dimensional C4 point group insulator
• A topological transistor of waves via the Euler characteristic