Limit cycles and chaos in the current through a quantum dot

Carlos Lopez-Moms; Clive Emary; Gerold Kiesslich; Gloria Platero; Tobias Brandes

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Limit cycles and chaos in the current through a quantum dot

机译：通过量子点限制电流中的周期和混沌

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摘要

We investigate nonlinear magnetotransport through a single-level quantum dot coupled to ferromagnetic leads, where the electron spin is coupled to a large, external (pseudo)spin via an anisotropic exchange interaction. We find regimes where the average current through the dot displays self-sustained oscillations that reflect the limit cycles and chaos and map the dependence of this behavior on magnetic field strength and the tunnel coupling to the external leads.

机译：我们研究了通过耦合到铁磁引线的单能级量子点进行的非线性磁传输，其中电子自旋通过各向异性交换相互作用耦合到大的外部（伪）自旋。我们发现通过点的平均电流显示出反映极限循环和混沌的自持振荡的状态，并绘制出这种行为对磁场强度和隧道耦合到外部引线的依赖性的映射。

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来源
《Physical review》 |2012年第4期|p.045301.1-045301.11|共11页
作者
Carlos Lopez-Moms; Clive Emary; Gerold Kiesslich; Gloria Platero; Tobias Brandes;
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作者单位

Instituto de Ciencia de Materiales de Madrid, CSIC, Sor Juana Ines de la Cruz 3, Cantoblanco, ES-28049 Madrid, Spain;

Institute fuer Theoretische Physik, TU Berlin, Hardenbergstr. 36, DE-10623 Berlin, Germany;

Institute fuer Theoretische Physik, TU Berlin, Hardenbergstr. 36, DE-10623 Berlin, Germany;

Instituto de Ciencia de Materiales de Madrid, CSIC, Sor Juana Ines de la Cruz 3, Cantoblanco, ES-28049 Madrid, Spain;

Institute fuer Theoretische Physik, TU Berlin, Hardenbergstr. 36, DE-10623 Berlin, Germany;

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正文语种 eng
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quantum dots; spin relaxation and scattering;

机译：量子点;自旋弛豫和散射;

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机译：量子点，量子阱限和量子线限中正负供体杂质的理论研究
2. Effect of interdot Coulomb repulsion on tunneling current through a double quantum dot system in the weak tunneling limit: Strong electron-phonon coupling [J] . Igor G. Medvedev Physical review . 2009,第3期

机译：在弱隧穿极限下，点间库仑排斥对通过双量子点系统的隧穿电流的影响：强电子-声子耦合
3. Saddle cycles: Solving rational expectations models featuring limit cycles (or chaos) using perturbation methods [J] . Dana Galizia Quantitative Economics . 2021,第3期

机译：马鞍周期：解决rational预期模型，使用扰动方法具有限制循环（或混沌）
4. High photo-current generation in a three-dimensional silicon quantum dot superlattice fabricated by combination of bio-template and neutral beam etching for quantum dot solar cell [C] . Rahman M.M., Igarashi M., Weiguo Hu, IEEE Photovoltaic Specialists Conference . 2013

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5. Mesoscopic transport and quantum chaos in ballistic quantum dots. [D] . Berry, Michael James, II. 1994

机译：弹道量子点中的介观输运和量子混沌。
6. Limit-cycle oscillations and chaos in reaction networks subject to conservation of mass. [O] . E Di Cera, P E Phillipson, J Wyman 1989

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7. Limit-Cycles and Chaos in the Current Through a Quantum Dot [O] . López-Monís, Carlos, Emary, Clive, Kiesslich, Gerold, 2012

机译：通过量子点的电流限制周期和混沌
8. Hard chaos, quantum billiards, and quantum dot computers [R] . Mainieri, R., Cvitanovic, P., Hasslacher, B. 1996

机译：硬混乱，量子台球和量子点计算机

Limit cycles and chaos in the current through a quantum dot

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