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Theory of quasiparticle interference in mirror symmetric 2D systems and its application to surface states of topological crystalline insulators
Chen Fang, Matthew J. Gilbert, Su-Yang Xu +2
We study symmetry protected features in the quasiparticle interference (QPI) pattern of 2D systems with mirror symmetries and time-reversal symmetry, around a single static point i…
Entanglement Spectrum Classification of -invariant Noninteracting Topological Insulators in Two Dimensions
Chen Fang, Matthew J. Gilbert, B. Andrei Bernevig
We study the single particle entanglement spectrum in 2D topological insulators which possess -fold rotation symmetry. By defining a series of special choices of subsystems on w…
Screening Behavior and Scaling Exponents from Quantum Hall Wavefunctions
B. Andrei Bernevig, Parsa Bonderson, Nicolas Regnault
We provide a robust and generic method to assess the screening properties and extract the scaling exponents of quasiparticle edge excitations of quantum Hall states from model wave…
Bulk Topological Invariants in Noninteracting Point Group Symmetric Insulators
Chen Fang, Matthew J. Gilbert, B. Andrei Bernevig
We survey various quantized bulk physical observables in two- and three-dimensional topological band insulators invariant under translational symmetry and crystallographic point gr…
Signature of Phase Transitions in the Disordered Quantum Spin Hall State From the Entanglement Spectrum
Matthew J. Gilbert, B. Andrei Bernevig, Taylor L. Hughes
Of the available classes of insulators which have been shown to contain topologically non-trivial properties one of the most important is class AII, which contains systems that pos…