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Nonlinear transport theory in the metal with tunnel barrier

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E.E. Zubov

Statistical Mechanics · Submitted 19 Jun 2017

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim It significantly simplifies the calculation of nonlinear contributions to the conductivity of various hybrid structures.

how it is stated · asserted 1.00 read the record →

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arXiv ID1706.05981 (version 1)
Pith IDDQNPC3KQ, Pith's permanent record of this paper and its review
CitationE.E. Zubov. "Nonlinear transport theory in the metal with tunnel barrier." arXiv:1706.05981 (2017). https://pith.science/paper/DQNPC3KQ
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,781 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.09 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.96 · compares with prior results 0.90 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

Within the framework of the scattering matrix formalism the nonlinear Kubo theory for electron transport in the metal with a tunnel barrier has been considered. A general expression for the mean electrical current was obtained. It significantly simplifies the calculation of nonlinear contributions to the conductivity of various hybrid structures. In the model of the tunnel Hamiltonian all linear and nonlinear contributions to a mean electrical current are evaluated. The linear approximation agrees with results of other theories. For effective barrier transmission $\tilde T = 1/3$ the ballistic transport is realized with a value of the Landauer conductivity equal to $G = \frac{{2e^2 }}{h}$.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Within the framework of the scattering matrix formalism the nonlinear Kubo theory for electron transport in the metal with a tunnel barrier has been considered. method 0.63 0.86 0.07 asserted 0.98
s1 A general expression for the mean electrical current was obtained. result 0.83 0.94 0.23 asserted 1.00
s2 It significantly simplifies the calculation of nonlinear contributions to the conductivity of various hybrid structures. interpretation 0.92 0.74 0.29 asserted 1.00
s3 In the model of the tunnel Hamiltonian all linear and nonlinear contributions to a mean electrical current are evaluated. method 0.55 0.90 0.13 asserted 1.00
s4 The linear approximation agrees with results of other theories. result 0.80 0.59 0.07 asserted 0.99
s5 For effective barrier transmission $\tilde T = 1/3$ the ballistic transport is realized with a value of the Landauer conductivity equal to $G = \frac{{2e^2 }}{h}$. result 1.00 0.81 0.20 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.96 · evidence from proof or derivation 1.00.

What was examined, and what was not

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

Within the framework of the scattering matrix formalism the nonlinear Kubo theory for electron transport in the metal with a tunnel barrier has been considered. A general expression for the mean electrical current was obtained. It significantly simplifies the calculation of nonlinear contributions to the conductivity of various hybrid structures. In the model of the tunnel Hamiltonian all linear and nonlinear contributions to a mean electrical current are evaluated. The linear approximation agrees with results of other theories. For effective barrier transmission $\tilde T = 1/3$ the ballistic transport is realized with a value of the Landauer conductivity equal to $G = \frac{{2e^2 }}{h}$.

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