Non-Abelian monopoles in the multiterminal Josephson effect

Xie, Hong-Yi; Hasan, Jaglul; Levchenko, Alex

doi:10.1103/physrevb.105.l241404

Cited by 11 publications

(4 citation statements)

References 52 publications

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“…, ϕ N −1 , which act as quasimomenta, as well as on the scattering matrix of the interstitial junction region. Furthermore, the ABS spectra of MTJJs are predicted to host topologically protected Weyl nodes and higher-order Chern numbers 19 – 23 . The energy gap between different ABS bands depends on the number of conductance modes between terminals, with theoretical efforts focusing on the case of unity or near-unity number of interterminal modes 19 , 20 , 24 .…”

Section: Introductionmentioning

confidence: 99%

Selective control of conductance modes in multi-terminal Josephson junctions

et al. 2022

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The Andreev bound state spectra of multi-terminal Josephson junctions form an artificial band structure, which is predicted to host tunable topological phases under certain conditions. However, the number of conductance modes between the terminals of a multi-terminal Josephson junction must be few in order for this spectrum to be experimentally accessible. In this work, we employ a quantum point contact geometry in three-terminal Josephson devices to demonstrate independent control of conductance modes between each pair of terminals and access to the single-mode regime coexistent with the presence of superconducting coupling. These results establish a full platform on which to realize tunable Andreev bound state spectra in multi-terminal Josephson junctions.

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Section: Introductionmentioning

confidence: 99%

Selective control of conductance modes in multi-terminal Josephson junctions

et al. 2022

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“…Current trends. -In the search for novel approaches that could lead to the observation of more complex topology, recent theoretical works have gone beyond the original proposals and extended the study to multi-terminal JJs with degenerate ground-states, which could open the door to quantum simulation of non-Abelian physics in high dimensions and holonomic quantum computing [52,53]. Indeed, these devices may reveal non-Abelian Berry curvatures and higher-order Chern numbers in their non-linear response or through microwave spectroscopy.…”

Section: On the Effect Of The Quasiparticle Continuum -mentioning

confidence: 99%

Multi-terminal Josephson junctions: A road to topological flux networks

Gavensky

Usaj

Balseiro

2023

EPL

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Multi-terminal Josephson junctions were recently proposed as a versatile and tunable platform to emulate topological Bloch-like Hamiltonians in arbitrary dimensions. In this perspective article, we will give a brief overview of the subject and recognize these mesoscopic devices as realizations of topological flux networks as the ones envisioned by J. E. Avron and coworkers in their seminal works on the early days of the quantum Hall effect. We summarize the current state-of-the-art theoretical and experimental research regarding these Josephson devices, highlighting recent developments and giving an outlook on current trends.

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“…[27][28][29]. With such approach the dimensionality of the phase space and the related topology is in principle unlimited and only depends on the number of superconducting terminals [30][31][32]. The non-trivial topology of the bound states results in a quantized transconductance [13] in units of 4e 2 /h when applying voltages to the superconducting terminals.…”

Section: Introductionmentioning

confidence: 99%

Ground state topology of a four-terminal superconducting double quantum dot

Teshler,

Weisbrich,

Sturm

et al. 2023

SciPost Phys.

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In recent years, various classes of systems were proposed to realize topological states of matter. One of them are multiterminal Josephson junctions where topological Andreev bound states are constructed in the synthetic space of superconducting phases. Crucially, the topology in these systems results in a quantized transconductance between two of its terminals comparable to the quantum Hall effect. In this work, we study a double quantum dot with four superconducting terminals and show that it has an experimentally accessible topological regime in which the non-trivial topology can be measured. We also include Coulomb repulsion between electrons which is usually present in experiments and show how the topological region can be maximized in parameter space.

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Non-Abelian monopoles in the multiterminal Josephson effect

Cited by 11 publications

References 52 publications

Selective control of conductance modes in multi-terminal Josephson junctions

Selective control of conductance modes in multi-terminal Josephson junctions

Multi-terminal Josephson junctions: A road to topological flux networks

Ground state topology of a four-terminal superconducting double quantum dot

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