870 citations · 1.2k across the 8 of their papers we have counts for
8 papers
Orbital Wigner functions and quantum transport in multiband systems
Johannes Mitscherling, Dan S. Borgnia, SuryaNeil Ahuja +2
Traditional theories of electron transport in crystals are based on the Boltzmann equation and do not capture physics arising from quantum coherence. We introduce a transport forma…
Quasiperiodicity protects quantized transport in disordered systems without gaps
Emmanuel Gottlob, Dan S. Borgnia, Robert-Jan Slager +1
The robustness of topological properties, such as quantized currents, generally depends on the existence of gaps surrounding the relevant energy levels or on symmetry-forbidden tra…
The Dry Ten Martini Problem at Criticality
Dan S. Borgnia, Robert-Jan Slager, Matthew Faust
We solve the dry ten martini problem (lean-verified this time) by showing that every labeled almost Mathieu gap is open for and every irrational frequency. In particular,…
Localization via Quasi-Periodic Bulk-Bulk Correspondence
Dan S. Borgnia, Robert-Jan Slager
We report on a direct connection between quasi-periodic topology and the Almost Mathieu (Andre-Aubry) metal insulator transition (MIT). By constructing quasi-periodic transfer matr…
Rational Approximations of Quasi-Periodic Problems via Projected Green's Functions
Dan S. Borgnia, Ashvin Vishwanath, Robert-Jan Slager
We introduce the projected Green's function technique to study quasi-periodic systems such as the Andre-Aubry-Harper (AAH) model and beyond. In particular, we use projected Green's…
Non-Hermitian Boundary Modes
Dan S. Borgnia, Alex Jura Kruchkov, Robert-Jan Slager
We consider conditions for the existence of boundary modes in non-Hermitian systems with edges of arbitrary co-dimension. Through a universal formulation of formation criteria for…
Microscopy of the interacting Harper-Hofstadter model in the few-body limit
M. Eric Tai, Alexander Lukin, Matthew Rispoli +7
The interplay of magnetic fields and interacting particles can lead to exotic phases of matter exhibiting topological order and high degrees of spatial entanglement. While these ph…
Quasi-Relativistic Doppler Effect and Non-Reciprocal Plasmons in Graphene
Dan S. Borgnia, Trung V. Phan, Leonid S. Levitov
Strong optical nonreciprocity at the nanoscale, relying on extreme one-way modes and backscattering suppression, can enable fundamentally new approaches in optoelectronics and plas…