Spin crossovers and superdiffusion in the one-dimensional Hubbard model
Michele Fava, Brayden Ware, Sarang Gopalakrishnan, Romain Vasseur, S. A. Parameswaran
Abstract
Using the framework of generalized hydrodynamics for integrable systems, the authors study finite-temperature transport in the 1D Hubbard model. At strong coupling, the authors characterize transport in the spin-incoherent regime -- where spin degrees of freedom are ``hot'' while charge degrees of freedom are ``cold'' -- and its crossover to the Luttinger liquid regime. Furthermore, using a combination of analytical arguments and numerical simulations, the authors show that when the Hamiltonian features a spin or $\ensuremath{\eta}$-pairing SU(2) symmetry or both, spin or charge transport is superdiffusive with Kardar-Parisi-Zhang scaling.
Topics & Concepts
PhysicsCondensed matter physicsBethe ansatzHubbard modelScalingLuttinger liquidSpin (aerodynamics)QuasiparticleCharge (physics)Phase diagramQuantum mechanicsDegrees of freedom (physics and chemistry)Phase (matter)SuperconductivityQuantumThermodynamicsGeometryMathematicsPhysics of Superconductivity and MagnetismQuantum many-body systemsCold Atom Physics and Bose-Einstein Condensates