Alexis Drouot

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20232026

most citedBand spectrum singularities for Schrödinger operators

1 citations · 1 across the 5 of their papers we have counts for

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math-ph2026

Geometric bulk conductances in even dimensions

Alexis Drouot

Let $P$ be a short-range projector on $ℓ^{2} (Z^{2 n}, C^{m})$ and $U = (U_{1}, \dots, U_{2 n})$ be a transverse family of open subsets of $R^{2 n}$ . We give an elem…

math-ph2026

Reflectionless edge states in Dirac models of topological insulators

Alexis Drouot

We study an effective model of topological insulators joined along a bent interface. The Hamiltonian is a Dirac operator $D = D_{1} σ_{1} + D_{2} σ_{2} + κ (x) σ_{3}$ on $L^2(\mathbb{…

math-ph2026

Geometric bulk-edge correspondence for $Z_{2}$ -topological insulators

Alexis Drouot, Jacob Shapiro, Xiaowen Zhu

Fermionic time-reversal-invariant insulators in two dimensions--class AII in the Kitaev table--come in two topological phases. These phases are characterized by a $Z_{2}$ -va…

Geometric bulk conductances in even dimensions

Reflectionless edge states in Dirac models of topological insulators

Geometric bulk-edge correspondence for Z2​-topological insulators

Geometric bulk-edge correspondence for $Z_{2}$ -topological insulators