Quantum spin Hall effect induced by non-magnetic and magnetic staggered potentials

Abstract

We have a comparative study of the quantum spin Hall (QSH) effects induced by non-magnetic and magnetic staggered potentials respectively and show that they have the same effect in driving the topological phase transition. The result implies that both time-reversal ($\mathcal{T}$) preserving and breaking systems can host QSH effect. We also investigate the stability of the resulting QSH effect to disorder and find that for $\mathcal{T}$ invariant system the edge states are always robust while those of $\mathcal{T}$ breaking system are also robust if there is additional symmetry in the system.

5 pages, 4 figures. PRB in press

References in corpus (23)

• Topological Insulators
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Topological Insulators with Inversion Symmetry
• 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
• First direct observation of Spin-textures in Topological Insulators : Spin-resolved ARPES as a probe of topological quantum spin Hall effect and Berry's phase
• Spin-orbit gap of graphene: First-principles calculations
• Tunable Multifunctional Topological Insulators in Ternary Heusler Compounds
• A new platform for topological quantum phenomena : Topological Insulator states in thermoelectric Heusler-related ternary compounds
• Antiferromagnetic topological insulators
• Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
• Topological Anderson Insulator
• Theory of the topological Anderson insulator
• Effective continuous model for surface states and thin films of three dimensional topological insulators
• Numerical study of the topological Anderson insulator in HgTe/CdTe quantum wells
• Exciton condensation and charge fractionalization in a topological insulator film
• Topological Anderson Insulator in Three Dimensions
• Chiral Topological Insulators, Superconductors and other competing orders in three dimensions
• Zigzag edge modes in Z2 topological insulator: reentrance and completely flat spectrum
• Quantum spin Hall effect and spin-charge separation in a kagome lattice

Cited by in corpus (15)

• Correlation effects in two-dimensional topological insulators
• Topological antiferromagnetic phase in a correlated Bernevig-Hughes-Zhang model
• Half quantum spin Hall effect on the surface of weak topological insulators
• Topological Anderson insulator phase in a quasicrystal lattice
• Disorder-induced Majorana zero modes in a dimerized Kitaev superconductor chain
• Higher-order topological Anderson insulators in quasicrystals
• Disorder-induced topological phase transitions on Lieb lattices
• Antiferromagnetic topological insulator state in the correlated Bernevig-Hughes-Zhang model
• Topological Anderson insulator phase in a Dirac-semimetal thin film
• Unusual change in the Dirac-cone energy band upon two-step magnetic transition in CeBi
• Topological Anderson insulators in an Ammann-Beenker quasicrystal and a snub-square crystal
• Topological properties of magnetically ordered heavy-fermion systems in the presence of mirror symmetry
• $Z_2$ antiferromagnetic topological insulators with broken $C_4$ symmetry
• Universal Role of Combined Symmetry for the Protection of the Dirac Cone in Antiferromagnetic Topological Insulators
• Antiferromagnetic topological insulators in heavy-fermion systems