Jing-Tao Lü, School of Physics, Institute for Quantum Science and Engineering and Wuhan National High Magnetic Field Center, Huazhong University of Science and Technology, Wuhan 430074, Hubei, China. E-mail: jtlu@hust.edu.cn
Abstract
Hydrodynamic electron transport, in which electrical transport in solids resembles fluid hydrodynamics when momentum-conserving electron-electron scattering dominates, has attracted much attention over the past decade. However, its thermal aspects have received considerably less attention. In this paper, we systematically simulate electron transport in a graphene Corbino disk by solving the steady-state Boltzmann transport equation with a dual relaxation-time Callaway model, in which momentum-conserving and momentum-relaxing scatterings are explicitly distinguished. By varying the magnetic field strength and scattering rates, we compare the charge and heat flux responses across the diffusive-to-hydrodynamic crossover under both electric field and temperature-gradient driving. We show that magnetic-field-induced deflection of both fluxes is strongly enhanced in the hydrodynamic regime but nearly suppressed in the diffusive regime. Under electric-field driving, a pronounced temperature rise is observed in the hydrodynamic regime du to reduced dissipation, while the diffusive regime remains nearly isothermal. Under temperature-gradient driving, the deflection exhibits the opposite chirality to that in the electric-field case. These findings establish that thermal transport can provide a sensitive and independent diagnostic of electro hydrodynamics, and identify the magnetic field as an effective discriminator between collective and dissipative conduction.
Keywords
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