2000 character limit reached
Nonlinear longitudinal current of band-geometric origin in wires of finite thickness
Published 21 Feb 2024 in cond-mat.mes-hall and cond-mat.mtrl-sci | (2402.14112v3)
Abstract: The miniaturization of integrated circuits is facing an obstruction due to the escalating electrical resistivity of conventional copper interconnects. The underlying reason for this problem was unveiled by Fuchs and Sondheimer, who showed that thinner wires are more resistive because current-carrying electrons encounter the rough surfaces of the wire more frequently therein. Here, we present a generalization of the Fuchs-Sondheimer theory to Dirac and Weyl materials, which are candidates for next-generation interconnects. We predict a nonlinear longitudinal electric current originating from the combined action of the Berry curvature and non-specular surface-scattering.
- D. Gall, Journal of Applied Physics 127, 050901 (2020).
- M. Breitkreiz and P. W. Brouwer, Phys. Rev. Lett. 123, 066804 (2019).
- M. J. Gilbert, Communications Physics 4, 70 (2021).
- K. Fuchs, Mathematical Proceedings of the Cambridge Philosophical Society 34, 100 (1938).
- E. H. Sondheimer, Advances in Physics 1, 1 (1952).
- I. Sodemann and L. Fu, Physical review letters 115, 216806 (2015).
- C. Ortix, Advanced Quantum Technologies 4, 2100056 (2021).
- S. Tsirkin and I. Souza, SciPost Physics Core 5, 039 (2022).
- Y. Wang, Z. Zhang, Z.-G. Zhu, and G. Su, “An intrinsic nonlinear ohmic current,” (2023), arXiv:2207.01182 [cond-mat.mes-hall] .
- See Supplemental Material at [URL] for details of the analytical derivations and citations [29, 30].
- Y. Gao, Frontiers of Physics 14, 1 (2019).
- To leading order in αzsubscript𝛼𝑧\alpha_{z}italic_α start_POSTSUBSCRIPT italic_z end_POSTSUBSCRIPT, σ¯2/σ¯1≃ehαz/(6πm2)similar-to-or-equalssubscript¯𝜎2subscript¯𝜎1𝑒ℎsubscript𝛼𝑧6𝜋superscript𝑚2\overline{\sigma}_{2}/\overline{\sigma}_{1}\simeq eh\alpha_{z}/(6\pi m^{2})over¯ start_ARG italic_σ end_ARG start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT / over¯ start_ARG italic_σ end_ARG start_POSTSUBSCRIPT 1 end_POSTSUBSCRIPT ≃ italic_e italic_h italic_α start_POSTSUBSCRIPT italic_z end_POSTSUBSCRIPT / ( 6 italic_π italic_m start_POSTSUPERSCRIPT 2 end_POSTSUPERSCRIPT ) for a≃lsimilar-to-or-equals𝑎𝑙a\simeq litalic_a ≃ italic_l.
- A.-M. S. Tremblay and F. Vidal, Phys. Rev. B 25, 7562 (1982).
Paper Prompts
Sign up for free to create and run prompts on this paper.