Book ; Online: Quantum Geometry Induced Third Order Nonlinear Transport Responses
2023
Abstract: Nonlinear transport phenomena offer an exciting probe into the band geometry and symmetry properties of a system. Here, we present the complete theory of third-order nonlinear charge transport using the density matrix-based quantum kinetic framework. We ... ...
Abstract | Nonlinear transport phenomena offer an exciting probe into the band geometry and symmetry properties of a system. Here, we present the complete theory of third-order nonlinear charge transport using the density matrix-based quantum kinetic framework. We predict a unique intrinsic dissipative contribution and identify a novel intrinsic dissipationless Hall response. We demonstrate that these previously unexplored contributions arise in time-reversal symmetry-broken systems from band geometric quantities such as the Berry curvature and the symplectic connection. We prescribe a detailed symmetry dictionary to facilitate the discovery of these fundamental transport coefficients. Additionally, we unify our quantum kinetic results with the semiclassical wave-packet formalism to unveil all contributions to third-order charge transport. We illustrate our results in antiferromagnetic monolayer SrMnBi$_2$. Our study significantly advances the fundamental understanding of third-order responses. Comment: 15 pages, 4 figures, Comments are welcome |
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Keywords | Condensed Matter - Mesoscale and Nanoscale Physics ; Condensed Matter - Materials Science |
Publishing date | 2023-10-29 |
Publishing country | us |
Document type | Book ; Online |
Database | BASE - Bielefeld Academic Search Engine (life sciences selection) |
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