Theory of Glide Symmetry Protected Helical Edge States in WTe${}_2$ Monolayer

Abstract

Helical edge states in quantum spin Hall (QSH) materials are central building blocks of topological matter design and engineering. Despite their principal topological protection against elastic backscattering, the level of operational stability depends on manifold parameters such as the band gap of the given semiconductor system in the 'inverted' regime, temperature, disorder, and crystal orientation. We theoretically investigate electronic and transport properties of QSH edge states in large gap 1-T' WTe${}_2$ monolayers. We explore the impact of edge termination, disorder, temperature, and interactions on experimentally addressable edge state observables, such as local density of states and conductance. We show that conductance quantization can remain surprisingly robust even for heavily disordered samples because of an anomalously small edge state decay length and additional protection related to the large direct gap allowed by glide symmetry. From the simulation of temperature-dependent resistance, we find that moderate disorder enhances the stability of conductance by localizing bulk states. We evaluate the edge state velocity and Luttinger liquid parameter as functions of the chemical potential, finding prospects for physics beyond linear helical Luttinger liquids in samples with ultra-clean and well-defined edges.

References in corpus (41)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Quantum Spin Hall Effect and Topological Field Effect Transistor in Two-Dimensional Transition Metal Dichalcogenides
• Spin-orbit gap of graphene: First-principles calculations
• Nonlocal edge state transport in the quantum spin Hall state
• Observation of the Quantum Spin Hall Effect up to 100 Kelvin in a Monolayer Crystal
• The Helical Liquid and the Edge of Quantum Spin Hall Systems
• Topological Anderson Insulator
• Finite size effects of helical edge states in HgTe/CdTe quantum wells
• Kondo effect in the helical edge liquid of the quantum spin Hall state
• Edge-mode Superconductivity in a Two Dimensional Topological Insulator
• Evidence for a Monolayer Excitonic Insulator
• Conductance of a helical edge liquid coupled to a magnetic impurity
• Evidence for equilibrium excitons and exciton condensation in monolayer WTe2
• Resistance of helical edges formed in a semiconductor heterostructure
• One-Dimensional Luttinger Liquids in a Two-Dimensional Moiré Lattice
• Conductivity of a generic helical liquid
• Strain Tunable Semimetal-Topological-Insulator Transition in Monolayer 1T'-WTe2
• Perfect charge compensation in WTe2 for the extraordinary magnetoresistance: From bulk to monolayer
• Magnetic proximity and nonreciprocal current switching in a monolayer WTe2 helical edge
• Canted Spin Texture and Quantum Spin Hall Effect in WTe2
• Machine learning for materials discovery: two-dimensional topological insulators
• Spin-orbit-parity coupled superconductivity in topological monolayer WTe${}_2$
• Electronic properties of type-II Weyl semimetal WTe${}_2$. A review perspective
• Spin-triplet superconductivity from interband effect in doped insulators
• Anomalous Quantum Oscillations of Interacting Electron-hole Gases in Inverted Type-II InAs/GaSb Quantum Wells
• Emergent quantum Hall effects below $50$ mT in a two-dimensional topological insulator
• Quantum oscillations in the activated conductivity in excitonic insulators: possible application to monolayer WTe2
• Electric field effects on the band gap and edge states of monolayer 1T'-WTe2
• Tuning the Many-body Interactions in a Helical Luttinger Liquid
• Band nesting and exciton spectrum in monolayer MoS${}_2$
• Theory of competing excitonic orders in insulating WTe${}_2$ monolayers
• The soft-mode phonons mediated unconventional superconductivity in monolayer 1T'-WTe2
• Quantum Oscillation of Thermally Activated Conductivity in a Monolayer WTe${}_2$-like Excitonic Insulator
• Multi-Band Superconductivity in Strongly Hybridized 1T'-WTe${}_2$/NbSe${}_2$ Heterostructures
• Influence of point defects on the electronic and topological properties of monolayer WTe${}_2$
• Realistic tight-binding model for monolayer transition metal dichalcogenides in 1T' structure
• Mott-glass phase of a one-dimensional quantum fluid with long-range interactions
• Cooperative orbital moments and edge magnetoresistance in monolayer WTe${}_2$
• Low-energy effective theory and anomalous Hall effect in monolayer ${\mathrm{WTe}}_2$
• Edge spin transport in the disordered two-dimensional topological insulator WTe${}_2$

Cited by in corpus (4)

• 2024 roadmap on 2D topological insulators
• A gate-tunable quantum phase transition in a topological excitonic insulator
• Breakdown of helical edge state topologically protected conductance in time-reversal-breaking excitonic insulators
• Platforms for the realization and characterization of Tomonaga-Luttinger liquids