Thermal energy and charge currents in multi-terminal nanorings

Kramer, Tobias; Kreisbeck, Christoph; Riha, Christian; Chiatti, Olivio; Buchholz, Sven S.; Wieck, A. D.; Reuter, D.; Fischer, Saskia F.

doi:10.1063/1.4953812

Cited by 3 publications

(3 citation statements)

References 22 publications

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“…This ensures coherent electron transport along the ring and minimizes scattering at impurities and inelastic scattering. Similar experimental devices and theoretical techniques have been used to study thermal currents [39].…”

Section: Methodsmentioning

confidence: 99%

“…For our simulations we use a variation of the device fabricated by Fischer et al [34] including a harmonic dot in one of the arms of the interferometer. Using this configuration has several advantages: it has been shown to be experimentally feasible and the pure interferometer without dot has been theoretically modeled before [35,39]. Due to the size of the dot we take into account the full effect of the magnetic field and cyclotron orbits inside the dot.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Time-dependent wave packet simulations of transport through Aharanov–Bohm rings with an embedded quantum dot

Kreisbeck¹,

Kramer²,

Molina³

2017

J. Phys.: Condens. Matter

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Abstract. We have performed time-dependent wave packet simulations of realistic Aharonov-Bohm (AB) devices with a quantum dot embedded in one of the arms of the interferometer. The AB ring can function as a measurement device for the intrinsic transmission phase through the quantum dot, however, care has to be taken in analyzing the influence of scattering processes in the junctions of the interferometer arms. We consider a harmonic quantum dot and show how the Darwin-Fock spectrum emerges as a unique pattern in the interference fringes of the AB oscillations.

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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Time-dependent wave packet simulations of transport through Aharanov–Bohm rings with an embedded quantum dot

Kreisbeck¹,

Kramer²,

Molina³

2017

J. Phys.: Condens. Matter

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“…For DM‐HEOM, we implement a superposition of (shifted) Drude–Lorentz spectral densities at each site:

J_{m} (ω) = \sum_{v = 1}^{V_{m}} true(\frac{λ_{m, v} ω ν_{m, v}}{{(ω - {normalΩ}_{m, v})}^{2} + ν_{m, v}^{2}} + \frac{λ_{m, v} ω ν_{m, v}}{{(ω + {normalΩ}_{m, v})}^{2} + ν_{m, v}^{2}} true),

with inverse bath correlation time

ν_{m, v}^{- 1}

. The parameter

{normalΩ}_{m, v}

shifts the peak position of the spectral density and allows one to vary the pure dephasing and relaxation processes, while maintaining the reorganization energy

λ_{m, v}

…”

Section: Methodsmentioning

confidence: 99%

Efficient calculation of open quantum system dynamics and time‐resolved spectroscopy with distributed memory HEOM (DM‐HEOM)

et al. 2018

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Time- and frequency-resolved optical signals provide insights into the properties of light-harvesting molecular complexes, including excitation energies, dipole strengths and orientations, as well as in the exciton energy flow through the complex. The hierarchical equations of motion (HEOM) provide a unifying theory, which allows one to study the combined effects of system-environment dissipation and non-Markovian memory without making restrictive assumptions about weak or strong couplings or separability of vibrational and electronic degrees of freedom. With increasing system size the exact solution of the open quantum system dynamics requires memory and compute resources beyond a single compute node. To overcome this barrier, we developed a scalable variant of HEOM. Our distributed memory HEOM, DM-HEOM, is a universal tool for open quantum system dynamics. It is used to accurately compute all experimentally accessible time- and frequency-resolved processes in light-harvesting molecular complexes with arbitrary system-environment couplings for a wide range of temperatures and complex sizes. © 2018 Wiley Periodicals, Inc.

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Transient capture of electrons in magnetic fields, or: comets in the restricted three-body problem

Kramer

2020

J. Phys.: Conf. Ser.

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The motion of celestial bodies in astronomy is closely related to the orbits of electrons encircling an atomic nucleus. Bohr and Sommerfeld presented a quantization scheme of the classical orbits to analyze the eigenstates of the hydrogen atom. Here we discuss another close connection of classical trajectories and quantum mechanical states: the transient dynamics of objects around a nucleus. In this setup a comet (or an electron) is trapped for a while in the vicinity of an parent object (Jupiter or an atomic nucleus), but eventually escapes after many revolutions around the center of attraction.

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Thermal energy and charge currents in multi-terminal nanorings

Cited by 3 publications

References 22 publications

Time-dependent wave packet simulations of transport through Aharanov–Bohm rings with an embedded quantum dot

Time-dependent wave packet simulations of transport through Aharanov–Bohm rings with an embedded quantum dot

Efficient calculation of open quantum system dynamics and time‐resolved spectroscopy with distributed memory HEOM (DM‐HEOM)

Transient capture of electrons in magnetic fields, or: comets in the restricted three-body problem

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