Intrinsic nonlinear valley Nernst effect in the strained bilayer graphene

Abstract

We theoretically analyze the nonlinear valley Nernst effect (NVNE) as the second-order response of temperature gradient through the semiclassical framework of electron dynamics. Our study shows that an intrinsic nonlinear pure valley current can be generated vertically to the applied temperature in the materials with both inversion and time-reversal symmetries. This intrinsic NVNE has a quantum origin from the quantum metric and shows independence from the relaxation time. We find that the local largest symmetry near the valleys for the nonvanishing intrinsic NVNE is a single mirror symmetry in two-dimensional systems. We theoretically investigate the intrinsic NVNE in the uniaxially strained gapless bilayer graphene and find the intrinsic NVNE can emerge when applying the temperature gradient vertically to the direction of strain. Interestingly, a transition from the compressive strain to the tensile one results in the sign reversal of the intrinsic NVNE.

11 pages, 4 figures, accepted by PRB

References in corpus (19)

• Quantum metric nonlinear Hall effect in a topological antiferromagnetic heterostructure
• Quantum metric-induced nonlinear transport in a topological antiferromagnet
• Orbital diamagnetism in multilayer graphenes: Systematic study with the effective mass approximation
• Band signatures for strong nonlinear Hall effect in bilayer WTe${}_2$
• Unification of Nonlinear Anomalous Hall Effect and Nonreciprocal Magnetoresistance in Metals by the Quantum Geometry
• Large anomalous Nernst effect in a van der Waals ferromagnet Fe${}_3$GeTe${}_2$
• Strained bilayer graphene: Band structure topology and Landau level spectrum
• Berry Curvature Dipole in Strained Graphene: a Fermi Surface Warping Effect
• Topological Nonlinear Anomalous Nersnt Effect in Strained Transition Metal Dichalcogenides
• Orbital Origin of Intrinsic Planar Hall Effect
• Adiabatically Induced Orbital Magnetization
• Nonlinear Valley Hall Effect
• Valley Seebeck effect in gate tunable zigzag graphene nanoribbons
• Quantum kinetic theory of nonlinear thermal current
• Intrinsic nonlinear thermal Hall transport of magnons: A Quantum kinetic theory approach
• Fundamental Distinction between Intrinsic and Extrinsic Nonlinear Thermal Hall Effects
• Intrinsic nonlinear Hall effect in two-dimensional honeycomb topological antiferromagnets
• Intrinsic nonlinear Nernst and Seebeck effect
• Theory of Nonlocal Transport from Nonlinear Valley Responses