Apparaît dans la collection : 2024 - T1 - WS1 - Quantum simulators
Identifying experimentally accessible probes that are able to reveal truly distinctive properties of topological phases of matter has remained as an ever-relevant mission. In this talk, I will start reviewing recent advances that were made possible thanks to a remarkable thermodynamic relation known as the Widom-Středa formula, which relates the quantized Hall conductivity of an insulator to its density response under an external probe magnetic field.
I will discuss how this response can be interpreted as a genuine local topological marker and briefly show how we adapted this well-known formula to explore the emergence of quantized valley Hall signals in strained honeycomb lattices [1]. Then, I will explain how this non-perturbative relation allowed us to derive a fundamental connection between the failure of Luttinger’s theorem and the classification of correlated quantum Hall phases with winding numbers built from single-particle Green’s functions [2].
[1] Maxime Jamotte, Lucila Peralta Gavensky, Cristiane Morais Smith, Marco Di Liberto, and Nathan Goldman, “Quantized valley Hall response from local bulk density variations,” Communications Physics 6, 264 (2023).
[2] Lucila Peralta Gavensky, Subir Sachdev, and Nathan Goldman, “Connecting the Many-Body Chern Number to Luttinger’s Theorem through Středa’s Formula,” Phys. Rev. Lett. 131, 236601 (2023)Phys. Rev. Lett. 131, 236601Phys. Rev. Lett. 131, 236601.
De Tomaž Prosen
De Serguei Brazovski
De Serguei Brazovski
