Workshop book - Physikzentrum der RWTH Aachen - RWTH Aachen ...

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Posters Tuesday February 5 Poster 25: Majorana modes and complex band structure of quantum wires Llorens Serra We describe Majorana edge states of a semi-infinite wire using the complex band structure approach. In this method the edge state at a given energy is built as a superposition of evanescent waves. It is shown that the superposition can not always satisfy the required boundary condition, thus restricting the existence of edge modes. We discuss purely 1D and 2D systems, focussing in the latter case on the effect of the Rashba mixing term. We also review recent results on the calculation of Majorana modes in finite systems and of the linear transport within a coupled-channels model. References: [1] Majorana modes and complex band structure of quantum wires, L. Serra, arXiv:1210.4817 [2] Transport through Majorana nanowires attached to normal leads, J.S. Lim, R. Lopez and L. Serra, New J. Phys. 14, 083020 (2012). [3] Magnetic field instability of Majorana modes in multiband semiconductor wires, J.S. Lim, L. Serra, R. Lopez and R. Aguado, Phys. Rev. B 86, 121103(R) (2012). 74
Posters Tuesday February 5 Poster 26: Interaction induced charge and spin pumping in non-linear transport through a quantum dot Hernan Calvo We investigate charge and spin transport through an adiabatically driven, strongly interacting quantum dot weakly coupled to two metallic contacts with finite bias voltage. Within a kinetic/master equation approach we identify coefficients of response to the time-dependent external driving and relate these to the concepts of charge and spin emissivities in the time-dependent scattering matrix approach. Expressed in terms of auxiliary vector fields the response coefficients allow for a straightforward analysis of recently predicted interaction-induced pumping un<strong>der</strong> periodic modulation of the gate and bias voltage [1]. We perform a detailed study of this effect and the related adiabatic Coulomb blockade spectroscopy, and, in particular, extend it to spin pumping. Analytic formulas for the pumped charge and spin in the regimes of small and large driving amplitude are provided for arbitrary bias. In the absence of a magnetic field, we obtain a striking, simple relation between the pumped charge at zero bias and at bias equal to the Coulomb charging energy. At finite magnetic field, interaction-induced pure spin pumping is shown to be possible at this finite bias value, and additional features appear in the pumped charge. For large-amplitude adiabatic driving, the magnitude of both the pumped charge and spin at the various resonances saturate at values which are independent of the specific shape of the pumping cycle. Each of these values provide an independent, quantitative measurement of the junction asymmetry. 75
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PROGRAM BOOK International workshop
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What comes with this booklet With t
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Getting to the institute (1) If you
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Workshop lecture hall • The works
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Lunch information Lunch will be tak
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Talks Monday February 4 Talk progra
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Talks Monday February 4 Notes 13
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Page 23 and 24: Talks Monday February 4 Notes 23
Page 29 and 30: Talks Tuesday February 5 Talks Tues
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Page 47 and 48: Talks Wednesday February 6 Talks We
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Page 86 and 87: 18. Domenico Giuliano, Universita
Page 88 and 89: 55. Jens Paaske, Copenhagen Univers
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Workshop book - Physikzentrum der RWTH Aachen - RWTH Aachen ...

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