Moiré & twisted bilayers

Two lattices, a small angle, and everything that follows from it

6 papers on this subject

  1. 2026 Flat-Band Bulk Photovoltaics Efficiency theory for flat-band photovoltaics, with rhombohedral pentalayer graphene as a small-gap infrared platform. In preparation
  2. 2025 Zero-Flux Localization: Magic Flat Bands via Non-Abelian Gauge Fields A magnetic field that cancels out cannot trap an electron. A spin field carrying no flux of its own can — and only when the flux through one magnetic tile is a whole number of flux quanta.
  3. 2024 Generic Topological Criterion for Flat Bands in Two Dimensions A flat band lets you delete time from the theory. What survives the deletion is an anomaly, and an anomaly has to come out a whole number — so the magic angle is a counting condition on the flux through one moiré cell.
  4. 2024 Localizing Transitions via Interaction-Induced Flat Bands Count the zero modes of a Hamiltonian and you know whether it has a flat band. Repeat the cell and you have the band. And if a system is already close to that condition, the electrons supply the missing piece themselves — the correction costs a square and pays a straight line.
  5. 2022 Strained Bilayer Graphene, Emergent Energy Scales, and Moiré Gravity Stretching one layer of graphene does what twisting it does. Written geometrically, both are an electron tunnelling between two curved spacetimes — and the same construction, applied to gravity, leaves a cosmological constant far smaller than either universe’s own.
  6. 2022 Moiré Gravity and Cosmology Give spacetime two metrics instead of one and causality forces them into step, leaving a single geometric scalar behind. That scalar behaves like a dilaton and like a Higgs, gives the Starobinsky action when integrated out, and rolls the vacuum energy down to nothing on its way to equilibrium.

Joined on the board to Flat bands & topology and Geometry & gravity.
Every publication, with the ones that have no page here, is on the CV.