Magic-angle semimetals with chiral symmetry
Yang-Zhi Chou, Yixing Fu, Justin H. Wilson, Elio J. König, J. H. Pixley
Abstract
The authors introduce a two-dimensional, chirally symmetric model of Dirac electrons subjected to a quasiperiodic modulation which harbors a rich phase diagram at the Dirac node energy: A semimetal phase with Dirac dispersion, a ``chiral metal'' phase with a nontrivial real-space structure, and -- for strongest quasiperiodic modulation -- subdiffusive dynamics and Chalker scaling. A natural link with higher order topological phases is identified and potential experimental realizations of the model are discussed.
Topics & Concepts
Quasiperiodic functionPhysicsCondensed matter physicsPosition and momentum spaceSemimetalPhase transitionElectronic band structureQuantum mechanicsTopology (electrical circuits)Band gapMathematicsCombinatoricsTopological Materials and PhenomenaQuantum many-body systemsQuantum and electron transport phenomena