1996/10/25 by Jian Wang, Qing‐Rong Zheng, Qingrong Zheng +1
Engineering · Mathematics · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Condensed matter physics #Conductance #Energy transport #Formalism (music) #Gauge (firearms) #Gauge theory #Mathematical analysis #Mathematics #Molecular Junctions and Nanostructures #Nonlinear system #Physics #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Quantum wire #Scattering #Sign (mathematics) #Theoretical physics #cond-mat
paper · pdf · doi:10.1103/physrevb.55.9763
15 pages, LaTeX, submitted to Phys. Rev. B
arxiv created 1996/10/25 · openalex publication_date 1997/04/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We have studied the weakly nonlinear quantum transport properties of a two-dimensional quantum wire that can be solved exactly. The nonlinear transport coefficients have been calculated and interesting physical properties revealed. In particular we found that as the incoming electron energy approaches a resonant point given by energy E=Er, where the transport is characterized by a complete reflection, the second-order nonlinear conductance changes its sign. We have also investigated the establishment of the gauge-invariance condition. We found that for systems with a finite scattering region, correction terms to the theoretical formalism are needed to preserve the gauge invariance. These corrections were derived analytically for this model.