0000000000025657

AUTHOR

Ludwig Mathey

showing 2 related works from this author

Microscopic theory for the light-induced anomalous Hall effect in graphene

2019

We employ a quantum Liouville equation with relaxation to model the recently observed anomalous Hall effect in graphene irradiated by an ultrafast pulse of circularly polarized light. In the weak-field regime, we demonstrate that the Hall effect originates from an asymmetric population of photocarriers in the Dirac bands. By contrast, in the strong-field regime, the system is driven into a non-equilibrium steady state that is well-described by topologically non-trivial Floquet-Bloch bands. Here, the anomalous Hall current originates from the combination of a population imbalance in these dressed bands together with a smaller anomalous velocity contribution arising from their Berry curvature…

Dirac (software)PopulationFOS: Physical sciences02 engineering and technology01 natural sciencesSettore FIS/03 - Fisica Della Materialaw.inventionlawHall effect0103 physical sciencesMesoscale and Nanoscale Physics (cond-mat.mes-hall)010306 general physicseducationQuantumPhysicseducation.field_of_studyCondensed Matter - Mesoscale and Nanoscale PhysicsCondensed matter physicsGrapheneRelaxation (NMR)dissipation021001 nanoscience & nanotechnologyCondensed Matter::Mesoscopic Systems and Quantum Hall EffectFloquet topologyBerry connection and curvatureMicroscopic theory0210 nano-technologyPhysics - OpticsOptics (physics.optics)Physical Review B
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Engineering Ising-XY spin models in a triangular lattice via tunable artificial gauge fields,

2013

Emulation of gauge fields for ultracold atoms provides access to a class of exotic states arising in strong magnetic fields. Here we report on the experimental realisation of tunable staggered gauge fields in a periodically driven triangular lattice. For maximal staggered magnetic fluxes, the doubly degenerate superfluid ground state breaks both a discrete Z2 (Ising) symmetry and a continuous U(1) symmetry. By measuring an Ising order parameter, we observe a thermally driven phase transition from an ordered antiferromagnetic to an unordered paramagnetic state and textbook-like magnetisation curves. Both the experimental and theoretical analysis of the coherence properties of the ultracold g…

PhysicsCondensed Matter::Quantum GasesOptical latticeCondensed matter physicsPhysics::OpticsGeneral Physics and AstronomyFOS: Physical sciences01 natural sciencesSymmetry (physics)010305 fluids & plasmasMagnetic fieldParamagnetismQuantum Gases (cond-mat.quant-gas)Quantum mechanics0103 physical sciencesComputer Science::Programming LanguagesAntiferromagnetismCondensed Matter::Strongly Correlated ElectronsHexagonal latticeIsing model010306 general physicsCondensed Matter - Quantum GasesComputer Science::DatabasesSpin-½Nature Phys. 9, 738-743 (2013)
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