activity
19962024
most citedBulk-edge correspondence for two-dimensional topological insulators

262 citations · 1.3k across the 28 of their papers we have counts for

collaborators

29 papers

math-ph2024★ 2 cited

Boundary conditions and violations of bulk-edge correspondence in a hydrodynamic model

Gian Michele Graf, Alessandro Tarantola

Bulk-edge correspondence is a wide-ranging principle that applies to topological matter, as well as a precise result established in a large and growing number of cases. According t…

math-ph2024

Galilei covariance of the theory of Thouless pumps

Tilman Esslinger, Gian Michele Graf, Filippo Santi

The Thouless theory of quantum pumps establishes the conditions for quantized particle transport per cycle, and determines its value. When describing the pump from a moving referen…

math-ph2021★ 2 cited

Infraparticle states in the massless Nelson model -- revisited

Vincent Beaud, Wojciech Dybalski, Gian Michele Graf

We provide a new construction of infraparticle states in the massless Nelson model. The approximating sequence of our infraparticle state does not involve any infrared cut-offs. It…

math-ph2020★ 38 cited

Topology in shallow-water waves: a violation of bulk-edge correspondence

Gian Michele Graf, Hansueli Jud, Clément Tauber

We study the two-dimensional rotating shallow-water model describing Earth's oceanic layers. It is formally analogue to a Schrödinger equation where the tools from topological insu…

math-ph2018★ 4 cited

Indirect Measurements of a Harmonic Oscillator

Martin Fraas, Gian Michele Graf, Lisa Hänggli

The measurement of a quantum system becomes itself a quantum-mechanical process once the apparatus is internalized. That shift of perspective may result in different physical predi…

math-ph2018★ 51 cited

The Bulk-Edge Correspondence for Disordered Chiral Chains

Gian Michele Graf, Jacob Shapiro

We study one-dimensional insulators obeying a chiral symmetry in the single-particle picture. The Fermi level is assumed to lie in a mobility gap. Topological indices are defined f…