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We have studied the weakly non-linear quantum transport properties of a two-dimensional quantum wire which can be solved exactly. The non-linear transport coefficients have been calculated and interesting physical properties revealed. In…

Condensed Matter · Physics 2009-10-28 Jian Wang , Qingrong Zheng , Hong Guo

We use the scattering approach to investigate the nonlinear current-voltage characteristic of mesoscopic conductors. We discuss the leading nonlinearity by taking into account the self-consistent nonequilibrium potential. We emphasize…

Condensed Matter · Physics 2009-10-28 T. Christen , M. Buttiker

Recent studies have shown that the nonlinear optical response of crystalline systems is fundamentally a quantum geometric property. In this work, we propose two-dimensional coherent spectroscopy (2DCS), which measures the nonlinear…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Paul Froese , Mark R. Hirsbrunner , Yong Baek Kim

We review recent developments in nonlinear quantum transport through nanostructures and mesoscopic systems driven by thermal gradients or in combination with voltage biases. Low-dimensional conductors are excellent platforms to analyze both…

Mesoscale and Nanoscale Physics · Physics 2016-11-14 David Sanchez , Rosa Lopez

The quantum geometry plays a crucial role in the nonlinear transport of quantum materials. Here, we use the Boltzmann transport formalism to study the magnetic control of nonlinear transport induced by the quantum metric in two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2025-07-15 Xu Chen , Mingbo Dou , Qin Zhang , Xianjie Wang , M. Ye. Zhuravlev , A. V. Nikolaev , L. L. Tao

The problem of nonlinear transport in a two dimensional superconductor with an applied oscillating electric field is solved by the holographic method. The complex conductivity can be computed from the dynamics of the current for both near-…

High Energy Physics - Theory · Physics 2016-06-22 Hua Bi Zeng , Yu Tian , Zhe Yong Fan , Chiang-Mei Chen

The study explores perpendicular transport through macroscopically inhomogeneous three-dimensional disordered conductors using mesoscopic methods (real-space Green function technique in a two-probe measuring geometry). The nanoscale samples…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Branislav K. Nikolic

The nonlinear transport regime is manifested in the nonlinear current-voltage characteristic of the system. An example of such a nonlinear regime is a setup in which current is injected into the sample and the measured voltage drop is…

Mesoscale and Nanoscale Physics · Physics 2025-10-06 Dmitry V. Chichinadze

Nonreciprocal transport in superconducting systems serves as a powerful probe of symmetry-breaking mechanisms, with the superconducting diode effect emerging as a key manifestation enabling cryogenic rectification. While theoretical models…

Superconductivity · Physics 2025-04-29 Yu He , Zifeng Wang , Jiaxu Li , Fenglin Zhong , Haozhe Yang , Kewen Shi , Le Wang , Guang Yang , Weisheng Zhao

Quantum metric, a probe to spacetime of the Hilbert space, has been found measurable in the nonlinear electronic transport thus has attracted tremendous interest. However, without comparing with mechanisms tied to disorder, it is still…

Mesoscale and Nanoscale Physics · Physics 2025-03-25 Zhen-Hao Gong , Z. Z. Du , Hai-Peng Sun , Hai-Zhou Lu , X. C. Xie

We investigate nonlinear transport properties of quantum conductors in response to both electrical and thermal driving forces. Within scattering approach, we determine the nonequilibrium screening potential of a generic mesoscopic system…

Mesoscale and Nanoscale Physics · Physics 2013-01-16 David Sanchez , Rosa Lopez

The symmetry properties of transport beyond the linear regime in chaotic quantum dots are investigated experimentally. A component of differential conductance that is antisymmetric in both applied source-drain bias V and magnetic field B,…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 D. M. Zumbuhl , C. M. Marcus , M. P. Hanson , A. C. Gossard

The nonlinear dc conductance of a two-terminal chaotic cavity is investigated. The fluctuations of the conductance (anti)symmetric with respect to magnetic flux inversion through multichannel cavities are found analytically for arbitrary…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Mikhail L. Polianski , Markus Buttiker

Quantum transport in disordered magnetic fields is investigated numerically in two-dimensional systems. In particular, the case where the mean and the fluctuation of disordered magnetic fields are of the same order is considered. It is…

Disordered Systems and Neural Networks · Physics 2009-11-10 Tohru Kawarabayashi , Tomi Ohtsuki

The quantum theory of conductivity of semiconductor objects, to which the quantum wells, wires and dots concern, is constructed. Average values of current and charge densities, induced by a weak electromagnetic field, are calculated. It is…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 I. G. Lang , L. I. Korovin , J. A. de la Cruz Alcaz , S. T. Pavlov

We systematically investigate nonlinear Ohmic responses in second-harmonic generation and bilinear magnetoelectric effects within the Matsubara Green's function formalism. The optical nonlinear Ohmic conductivity is shown to consist of a…

Mesoscale and Nanoscale Physics · Physics 2026-05-19 Anwei Zhang , Zheng Cai , C. M. Wang

We demonstrate that the nonlinear I-V characteristics of a two probe conductor is not an even function of magnetic field. While the conductance of a two-probe conductor is even in magnetic field, we find that already the contributions to…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Markus Buttiker , David Sanchez

We investigate sequential tunneling transport through a semiconductor double quantum dot structure by combining a simple microscopic quantum confinement model with a Mott-Hubbard type correlation model. We calculate nonperturbatively the…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 R. Kotlyar , S. Das Sarma

We investigate the nonlinear current-voltage characteristic of mesoscopic conductors and the current generated through rectification of an alternating external bias. To leading order in applied voltages both the nonlinear and the rectified…

Mesoscale and Nanoscale Physics · Physics 2007-11-08 M. L. Polianski , M. Buttiker

Nonlinear electronic transport has emerged as a powerful probe of the quantum geometry in topological quantum materials, where the band topology and broken symmetries facilitate power law current voltage responses beyond Ohms law. While…

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