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Interacting Local Topological Markers: A one-particle density matrix approach for characterizing the topology of interacting and disordered states

Autor: Hannukainen, Julia D., Martínez, Miguel F., Bardarson, Jens H., Kvorning, Thomas Klein

Publikováno v: Phys. Rev. Research 6, L032045 (2024)

While topology is a property of a quantum state itself, most existing methods for characterizing the topology of interacting phases of matter require direct knowledge of the underlying Hamiltonian. We offer an alternative by utilizing the one-particl

Externí odkaz: http://arxiv.org/abs/2307.06447

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Amorphous topological matter: theory and experiment

Autor: Corbae, Paul, Hannukainen, Julia D., Marsal, Quentin, Muñoz-Segovia, Daniel, Grushin, Adolfo G.

Publikováno v: EPL 142 16001 (2023)

Topological phases of matter are ubiquitous in crystals, but less is known about their existence in amorphous systems, that lack long-range order. In this perspective, we review the recent progress made on theoretically defining amorphous topological

Externí odkaz: http://arxiv.org/abs/2301.04176

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Local Topological Markers in Odd Spatial Dimensions and Their Application to Amorphous Topological Matter

Autor: Hannukainen, Julia D., Martinez, Miguel F., Bardarson, Jens H., Kvorning, Thomas Klein

Publikováno v: Phys. Rev. Lett. 129, 277601 (2022)

Local topological markers, topological invariants evaluated by local expectation values, are valuable for characterizing topological phases in materials lacking translation invariance. The Chern marker -- the Chern number expressed in terms of the Fo

Externí odkaz: http://arxiv.org/abs/2207.01646

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