40 citations · 210 across the 16 of their papers we have counts for
5 papers · 1 filter
Local time-reversal-invariant topological markers in two dimensions
Thomas Klein Kvorning, Miguel F. Martínez, Julia D. Hannukainen
Local topological markers provide a real-space characterization of topological phases and are suited to noncrystalline models. We derive a local topological marker, the Chern-Simon…
Quantum Hall Liquids Coupled to Dynamical Electromagnetism
T. H. Hansson, Qing-Dong Jiang, S. A. Kivelson +1
We investigate the effect on a Quantum Hall (QH) liquid of its coupling to 3+1 dimensional dynamical electromagnetism, which renders the system gapless. We calculate both the Hall…
One-Particle Density Matrix Framework for Mode-Shell Correspondence: Characterizing Topology in Amorphous Higher-Order Topological Insulators
Miguel F. Martínez, Lucien Jezequel, Jens H. Bardarson +2
We present a framework for characterizing higher-order topological phases directly from the one-particle density matrix, without any reference to an underlying Hamiltonian. Our app…
Interacting Local Topological Markers: A one-particle density matrix approach for characterizing the topology of interacting and disordered states
Julia D. Hannukainen, Miguel F. Martínez, Jens H. Bardarson +1
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 underl…
Local Topological Markers in Odd Spatial Dimensions and Their Application to Amorphous Topological Matter
Julia D. Hannukainen, Miguel F. Martinez, Jens H. Bardarson +1
Local topological markers, topological invariants evaluated by local expectation values, are valuable for characterizing topological phases in materials lacking translation invaria…