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.

arXiv comment11 pages, 4 figures, accepted by PRB

References in corpus (41)

• Coupled spin and valley physics in monolayers of MoS2 and other group-VI dichalcogenides
• Valley contrasting physics in graphene: magnetic moment and topological transport
• Landau level degeneracy and quantum Hall effect in a graphite bilayer
• Quantum nonlinear Hall effect induced by Berry curvature dipole in time-reversal invariant materials
• Concepts of Ferrovalley Material and Anomalous Valley Hall Effect
• Electrical control of the valley Hall effect in bilayer MoS2 transistors
• Antiferromagnetic spin Seebeck Effect
• Quantum metric nonlinear Hall effect in a topological antiferromagnetic heterostructure
• Quantum metric-induced nonlinear transport in a topological antiferromagnet
• Existence and topological stability of Fermi points in multilayered graphene
• Orbital diamagnetism in multilayer graphenes: Systematic study with the effective mass approximation
• Intrinsic nonlinear Hall effect in antiferromagnetic tetragonal CuMnAs
• Band signatures for strong nonlinear Hall effect in bilayer WTe${}_2$
• Strain-engineering of Berry curvature dipole and valley magnetization in monolayer MoS${}_2$
• Theory of the valley-valve effect in graphene nanoribbons
• Chiral photocurrent in parity-violating magnet and enhanced response in topological antiferromagnet
• 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
• Parity and valley degeneracy in multilayer graphene
• Topological currents in black phosphorus with broken inversion symmetry
• Thermally driven pure spin and valley current via anomalous Nernst effect in monolayer group-VI dichalcogenides
• Topological Nonlinear Anomalous Nersnt Effect in Strained Transition Metal Dichalcogenides
• Theory of Orbital Magnetic Quadrupole Moment and Nonlinear Anomalous Thermoelectric Transport
• Non-linear Nernst effect in bilayer WTe${}_2$
• Orbital Origin of Intrinsic Planar Hall Effect
• Adiabatically Induced Orbital Magnetization
• Nonlinear Valley Hall Effect
• The valley Nernst effect in WSe${}_2$
• Thermoelectric Generation of Orbital Magnetization in Metals
• Fundamental relations for anomalous thermoelectric transport coefficients in the non-linear regime
• In-plane Hall effect in two-dimensional helical electron systems
• 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
• Valley caloritronics in a photodriven hetero-junction of Dirac materials
• 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