Nonlinear Hall effect induced by internal Coulomb interaction and phase relaxation process in a four-terminal system with time-reversal symmetry

Abstract

We numerically investigate the second-order nonlinear Hall transport properties of a four-terminal system with time-reversal symmetry and broken inversion symmetry. Within the nonequilibrium Green's function formalism, the second-order nonlinear conductances are derived, where the internal Coulomb potential in response to external voltages is explicitly included to guarantee the gauge invariance. For the system with single mirror symmetry Mx, nonlinear Hall properties are only observable in the y direction and contributed solely from the second-order nonlinear effect. From the symmetry point of view, the observed nonlinear Hall transport phenomena have one-to-one correspondence with the Berry curvature dipole induced nonlinear Hall effect semiclassically obtained for the same Hamiltonian. In addition to the nonlinear Hall effect originated from symmetries of the system, it is found that the internal Coulomb potential has the same symmetry of the four-terminal system, which gives rise to an extra nonlinear Hall response. Moreover, the phase relaxation mechanism modeled by virtual probes leads to the dephasing-induced nonlinear Hall effect.

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Cited by in corpus (9)

• Quantum Fluctuation of the Quantum Geometric Tensor and its Manifestation as Intrinsic Hall Signatures in Time-Reversal Invariant Systems
• Nonlinear Landauer formula: Nonlinear response theory of disordered and topological materials
• Quantum third-order nonlinear Hall effect of a four-terminal device with time-reversal symmetry
• Nonreciprocal Ballistic Transport in Asymmetric Bands
• Four terminal quantum dot as an efficient rectifier of heat and charge currents
• Quantum nonlinear ac transport theory at low frequency
• Classification of spin Hall effect in two-dimensional systems
• General method for calculating transport properties of disordered mesoscopic systems based on the nonequilibrium Green's function formalism
• Linear thermal noise induced by Berry curvature dipole in a four-terminal system