Imaging signatures of the local density of states in an electronic cavity

Gold, Carolin; Bräm, Beat A.; Ferguson, Michael S.; Krähenmann, Tobias; Hofmann, Andrea; Steinacher, Richard; Fratus, Keith R.; Reichl, Christian; Wegscheider, Werner; Weinmann, Dietmar; Ensslin, Klaus; Ihn, Thomas

doi:10.1103/physrevresearch.3.l032005

Cited by 3 publications

(5 citation statements)

References 45 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…When the tip is moved away from the branch, its effect on the corresponding electron trajectories gets weaker, while with a simultaneous increase of tip strength, the influence on the trajectories can remain almost unchanged, giving rise to the observed "parabolic" features. All these predictions are in good agreement with experiments [17] and simulations of the SGM response, including the fact that the features exhibit a gap between the regimes of repulsive and attractive tips. It follows that the analysis of features of the SGM response as a function of tip position and strength can be used to extract the positions of branches in the unperturbed system (without the tip).…”

Section: Discussionsupporting

confidence: 83%

“…The observations are also consistent with the experimental data of Ref. [17]. Among them, a strong repulsive (V T > 0) or attractive (V T < 0) tip close to the center of the cavity increases the scattering of the electrons towards the side electrodes 2 and 3, and thereby increases the conductance to values that approach the transmission T = 3 of the QPC.…”

Section: Conductance In the Presence Of An Sgm Tipsupporting

confidence: 92%

“…The parameters of the cavity shape and its size as well as the Fermi wavelength are close to the experimental situation of Ref. [17]. For the tip potential, a Gaussian shape with strength U T similar to the one used in Ref.…”

Section: A Quantum Simulation Of Sgm In a Cavitysupporting

confidence: 72%

“…Contrary to the previously discussed case of a disordered cavity, the redirection into the QPC by the mirror is very efficient, and the conductance for weak values of the tip strength is very low. Despite this important difference, the parabolic-like features present in the experiment [17] and reproduced by the semiclassical approach leading to Fig. 4, are also suggested in the clean case (see Fig.…”

Section: Conductance In the Presence Of An Sgm Tipmentioning

confidence: 80%

“…[13]. In a recent experiment [17], the SGM response of such a system has been measured as a function of the tip position on a line parallel to the QPC gates and close to the mirror gate as in Ref. [13], and the tip voltage was varied at each position.…”

mentioning

confidence: 99%

See 4 more Smart Citations

Signatures of folded branches in the scanning gate microscopy of ballistic electronic cavities

Fratus,

Calonnec,

Jalabert

et al. 2020

Preprint

Self Cite

View full text Add to dashboard Cite

We demonstrate the emergence of classical features in electronic quantum transport for the scanning gate microscopy response in a cavity defined by a quantum point contact and a micron-sized circular reflector. The branches in electronic flow characteristic of a quantum point contact opening on a two-dimensional electron gas with weak disorder are folded by the reflector, yielding a complex spatial pattern. Considering the deflection of classical trajectories by the scanning gate tip allows to establish simple relationships of the scanning pattern, which are in agreement with recent experimental findings.

show abstract

Section: Discussionsupporting

confidence: 83%

Section: Conductance In the Presence Of An Sgm Tipsupporting

confidence: 92%

Section: A Quantum Simulation Of Sgm In a Cavitysupporting

confidence: 72%

Section: Conductance In the Presence Of An Sgm Tipmentioning

confidence: 80%

mentioning

confidence: 99%

See 3 more Smart Citations

Signatures of folded branches in the scanning gate microscopy of ballistic electronic cavities

Fratus,

Calonnec,

Jalabert

et al. 2020

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

Gate-tunable regular and chaotic electron dynamics in ballistic bilayer graphene cavities

2023

View full text Add to dashboard Cite

Coherent exchange-coupled nonlocal Kondo impurities

Stocker,

Zilberberg

2024

Phys. Rev. Research

View full text Add to dashboard Cite

Quantum dots exhibit a variety of strongly correlated effects, e.g., they can emulate localized magnetic impurities that form a Kondo singlet with their surrounding environment. Interestingly, in double-dot setups, such magnetic impurities couple to each other by direct Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction, which wins over the Kondo physics. In this work, we investigate a double-dot device where the dots are coupled via off-resonant ballistic modes, dubbed electronic cavity modes. Within this cavity-double-dot system, we study, using variational matrix product state techniques, the competition between Kondo formation and the combined coherent orbital hybridization and RKKY-like interaction that the cavity facilitates. Specifically, we find that Kondo can form on each dot individually whereby the cavity can either (i) destroy the Kondo via the RKKY that mediates a singlet state on the two dots, or (ii) lead to an exotic orbital macrsoscopic superposition of the Kondo forming on each of the dots. We dub the latter “Kondo cat”. En route to this key finding, we rigorously study the many-body phase diagram of the system, as well as compare it with the case of coupling the dots via an incoherent RKKY channel. The realization of a Kondo cat can facilitate applications in metrology, and reveal the spin coherence length in mesoscopic devices. Published by the American Physical Society 2024

show abstract

Imaging signatures of the local density of states in an electronic cavity

Cited by 3 publications

References 45 publications

Signatures of folded branches in the scanning gate microscopy of ballistic electronic cavities

Signatures of folded branches in the scanning gate microscopy of ballistic electronic cavities

Gate-tunable regular and chaotic electron dynamics in ballistic bilayer graphene cavities

Coherent exchange-coupled nonlocal Kondo impurities

Contact Info

Product

Resources

About