158 citations · 641 across the 25 of their papers we have counts for
10 papers · 1 filter
Uniqueness of Landau levels and their analogs with higher Chern numbers
Bruno Mera, Tomoki Ozawa
Landau levels are the eigenstates of a charged particle in two dimensions under a magnetic field, and are at the heart of the integer and fractional quantum Hall effects, which are…
Singular connection approach to topological phases and resonant optical responses
Bruno Mera, Tomoki Ozawa
We introduce a class of singular connections as an alternative to the Berry connection for any family of quantum states defined over a parameter space. We find a natural applicatio…
Nontrivial quantum geometry of degenerate flat bands
Bruno Mera, Johannes Mitscherling
The importance of the quantum metric in flat-band systems has been noticed recently in many contexts such as the superfluid stiffness, the dc electrical conductivity, and ideal Che…
Information geometry of quantum critical submanifolds: relevant, marginal and irrelevant operators
Bruno Mera, Nikola Paunković, Syed Tahir Amin +1
We analyze the thermodynamical limit of the quantum metric along critical submanifolds of theory space. Building upon various results previously known in the literature, we relate…
Engineering geometrically flat Chern bands with Fubini-Study Kähler structure
Bruno Mera, Tomoki Ozawa
We describe a systematic method to construct models of Chern insulators whose Berry curvature and the quantum volume form coincide and are flat over the Brillouin zone; such models…
Relating the topology of Dirac Hamiltonians to quantum geometry: When the quantum metric dictates Chern numbers and winding numbers
Bruno Mera, Anwei Zhang, Nathan Goldman
Quantum geometry has emerged as a central and ubiquitous concept in quantum sciences, with direct consequences on quantum metrology and many-body quantum physics. In this context,…