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Fluctuations and Correlations of Local Topological Order Parameters in Disordered Two-dimensional Topological Insulators
Roberta Favata, Nicolas Baù, Antimo Marrazzo
Two-dimensional topological insulators are characterized by an insulating bulk and conductive edge states protected by the nontrivial topology of the bulk electronic structure. The…
Theory of local topological markers for finite and periodic two-dimensional systems
Nicolas Baù, Antimo Marrazzo
The topological phases of two-dimensional time-reversal symmetric insulators are classified by a topological invariant. Usually, the invariant is introduced and ca…
Local Chern Marker for Periodic Systems
Nicolas Baù, Antimo Marrazzo
Topological invariants are global properties of the ground-state wave function, typically defined as winding numbers in reciprocal space. Over the years, a number of topological ma…
Single-point spin Chern number in a supercell framework
Roberta Favata, Antimo Marrazzo
We present an approach for the calculation of the topological invariant in non-crystalline two-dimensional quantum spin Hall insulators. While topological invariants…
Thermal robustness of the quantum spin Hall phase in monolayer WTe
Antimo Marrazzo
Monolayer 1T'-WTe has been the first two-dimensional crystal where a quantum spin Hall phase was experimentally observed. In addition, recent experiments and theoretical modeli…
A complementary screening for quantum spin Hall insulators in 2D exfoliable materials
Davide Grassano, Davide Campi, Antimo Marrazzo +1
Quantum spin Hall insulators are a class of topological materials that has been extensively studied during the past decade. One of their distinctive features is the presence of a f…
Emergent dual topology in the three-dimensional Kane-Mele PtHgSe
Antimo Marrazzo, Nicola Marzari, Marco Gibertini
Recently, the very first large-gap Kane-Mele quantum spin Hall insulator was predicted to be monolayer jacutingaite (PtHgSe), a naturally-occurring exfoliable mineral disco…
Local theory of the insulating state
Antimo Marrazzo, Raffaele Resta
An insulator differs from a metal because of a different organization of the electrons in their ground state. In recent years this feature has been probed by means of a geometrical…
Locality of the anomalous Hall conductivity
Antimo Marrazzo, Raffaele Resta
The geometrical intrinsic contribution to the anomalous Hall conductivity (AHC) of a metal is commonly expressed as a reciprocal-space integral: as such, it only addresses unbounde…
Irrelevance of the boundary on the magnetization of metals
Antimo Marrazzo, Raffaele Resta
The macroscopic current density responsible for the mean magnetization of a uniformly magnetized bounded sample is localized near its surface. In order to evaluate $\m…