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RESEARCH PRODUCT

Drude weight increase by orbital and repulsive interactions in fermionic ladders

Matteo RizziMatteo RizziAndreas HallerMichele Filippone

subject

PhysicsBosonizationCondensed Matter::Quantum GasesCondensed matter physicsStrongly Correlated Electrons (cond-mat.str-el)Interaction strengthFOS: Physical sciencesddc:500.201 natural sciencesMatrix multiplication010305 fluids & plasmasCondensed Matter - Strongly Correlated ElectronsUltracold atomQuantum Gases (cond-mat.quant-gas)Lattice (order)0103 physical sciencesParticleddc:530Edge states010306 general physicsCondensed Matter - Quantum Gases

description

In strictly one-dimensional systems, repulsive interactions tend to reduce particle mobility on a lattice. Therefore, the Drude weight, controlling the divergence at zero-frequency of optical conductivities in perfect conductors, is lower than in non-interacting cases. We show that this is not the case when extending to quasi one-dimensional ladder systems. Relying on bosonization, perturbative and matrix product states (MPS) calculations, we show that nearest-neighbor interactions and magnetic fluxes provide a bias between back- and forward-scattering processes, leading to linear corrections to the Drude weight in the interaction strength. As a consequence, Drude weights counter-intuitively increase (decrease) with repulsive (attractive) interactions. Our findings are relevant for the efficient tuning of Drude weights in the framework of ultracold atoms trapped in optical lattices and equally affect topological edge states in condensed matter systems.

10.1103/physrevresearch.2.023058https://archive-ouverte.unige.ch/unige:147110