Linear thermal noise induced by Berry curvature dipole in a four-terminal system

Abstract

In this work, we numerically investigate linear thermal noise in a four-terminal system with a finite Berry curvature dipole (BCD) using the nonequilibrium Green's function formalism. By comparing with the semiclassical results for bulk systems, we establish a one-to-one correspondence between terminal-resolved linear noise in multi-terminal systems and direction-resolved noise in bulk transport. Specifically, the auto-correlation function scales as $2k_{B}T$ when the driving field is perpendicular to the BCD and vanishes when they are parallel, whereas the cross-correlation scales as $k_{B}T$. Both the auto- and cross-correlation functions exhibit pronounced peaks near the band edges, consistent with BCD-induced features. In addition, the linear thermal noise increases approximately linearly with $T$ at low temperatures and is suppressed by dephasing effect at high temperatures. Our work bridges semiclassical bulk theory and quantum multi-terminal theory for linear thermal noise, highlighting the symmetry(geometry)-selection rule in quantum transport.

References in corpus (13)

• Nonlinear Hall Effects
• Intrinsic nonlinear Hall effect in antiferromagnetic tetragonal CuMnAs
• Intrinsic Second-Order Anomalous Hall Effect and Its Application in Compensated Antiferromagnets
• Essay: Where Can Quantum Geometry Lead Us?
• Quantum geometry induced second harmonic generation
• Quantum geometry in condensed matter
• Inelastic Interaction Corrections and Universal Relations for Full Counting Statistics
• Measurements of the quantum geometric tensor in solids
• Quantum Fluctuation of the Quantum Geometric Tensor and its Manifestation as Intrinsic Hall Signatures in Time-Reversal Invariant Systems
• Nonlinear Hall effect induced by internal Coulomb interaction and phase relaxation process in a four-terminal system with time-reversal symmetry
• Quantum third-order nonlinear Hall effect of a four-terminal device with time-reversal symmetry
• Shot-noise measurements of single-atom junctions
• Quantum nonlinear ac transport theory at low frequency