Topological transconductance quantization in a four-terminal Josephson junction

Eriksson, Erik; Riwar, Roman-Pascal; Houzet, Manuel; Meyer, Jacques; Nazarov, Yuli V.

doi:10.1103/physrevb.95.075417

Cited by 93 publications

(101 citation statements)

References 37 publications

(72 reference statements)

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“…Namely, we predicted that finite-energy Weyl crossings between 2πand 4π-periodic Andreev states may result in a quantized transconductance in units of 2e 2 /h between two voltagebias leads. We anticipate the conditions for the robustness of this prediction in the presence of non-adiabatic effects will be different from the case of conventional superconductors [3]. Furthermore, it would be interesting to understand whether the result found in this work can be analyzed within the general classification of topological insulators and superconductors [14,25].…”

mentioning

confidence: 85%

“…At such "Andreev-Weyl" crossings, the Chern number of the ground state in a submanifold of the phase space characterized by two phase differences changes. As a consequence, the Andreev-Weyl crossings would manifest themselves through a quantized transconductance, in units of 4e 2 /h, between two voltage-biased terminals [2,3]. This prediction was subsequently extended to junctions with three terminals in an external magnetic field [4,5].…”

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confidence: 99%

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Majorana-Weyl crossings in topological multiterminal junctions

Houzet

Meyer

2019

Phys. Rev. B

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We analyze the Andreev spectrum in a four-terminal Josephson junction between one-dimensional topological superconductors in class D. We find that a topologically protected crossing in the space of three superconducting phase differences can occur between the two lowest Andreev bound states. This crossing can be detected through the transconductance quantization, in units of 2e 2 /h, between two voltage-biased terminals. Our prediction provides yet another example of topology in multiterminal Josephson junctions. We discuss possible realizations of such junctions with semiconducting crossed nanowires and with quantum-spin Hall insulators.

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confidence: 85%

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confidence: 99%

Majorana-Weyl crossings in topological multiterminal junctions

Houzet

Meyer

2019

Phys. Rev. B

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“…Specifi-cally, ]. An inspection of these expressions reveals that despite the fact that we need ten independent phases to parametrize the scattering matrix, only six effective angles, 32 , and φ 6 ≡ ϕ 11 + ϕ 22 − ϕ 12 − ϕ 21 , affect the Andreev spectrum in Eq. (14).…”

Section: Four-terminal Junctionsmentioning

confidence: 99%

Topological supercurrents interaction and fluctuations in the multiterminal Josephson effect

Xie

Levchenko

2019

Phys. Rev. B

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We study the Josephson effect in the multiterminal junction of topological superconductors. We use the symmetry-constrained scattering matrix approach to derive band dispersions of emergent sub-gap Andreev bound states in a multidimensional parameter space of superconducting phase differences. We find distinct topologically protected band crossings that serve as monopoles of finite Berry curvature. Particularly, in a four-terminal junction the admixture of 2π and 4π periodic levels leads to the appearance of finite-energy Majorana-Weyl nodes. This topological regime in the junction can be characterized by a quantized nonlocal conductance that measures the Chern number of the corresponding bands. In addition, we calculate current-phase relations, variance, and cross-correlations of topological supercurrents in multiterminal contacts and discuss the universality of these transport characteristics. At the technical level these results are obtained by integrating over the group of a circular ensemble that describes the scattering matrix of the junction. We briefly discuss our results in the context of observed fluctuations of the gate dependence of the critical current in topological planar Josephson junctions and comment on the possibility of parity measurements from the switching current distributions in multiterminal Majorana junctions.

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“…In equilibrium, mapping the subgap Andreev spectrum has revealed level crossings at zero energy for nontrivial phase values [12][13][14][15]. For N 4, the crossing point was shown to have analogous topological properties to Weyl points in topological semimetals [15,16].…”

Section: Introductionmentioning

confidence: 99%

Tunable pseudogaps due to nonlocal coherent transport in voltage-biased three-terminal Josephson junctions

et al. 2017

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We investigate the proximity effect in junctions between N = 3 superconductors under commensurate voltage bias. The bias is chosen to highlight the role of transport processes that exchange multiple Cooper pairs coherently between more than two superconductors. Such nonlocal processes can be studied in the dc response, where local transport processes do not contribute. We focus on the proximity-induced normal density of states that we investigate in a wide parameter space. We reveal the presence of deep and highly tunable pseudogaps and other rich structures. These are due to a static proximity effect that is absent for N = 2 and is sensitive to an emergent superconducting phase associated to nonlocal coherent transport. In comparison with results for N = 2, we find similarities in the signature peaks of multiple Andreev reflections. We discuss the effect of electron-hole decoherence and of various types of junction asymmetries. Our predictions can be investigated experimentally using tunneling spectroscopy.

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Topological transconductance quantization in a four-terminal Josephson junction

Cited by 93 publications

References 37 publications

Majorana-Weyl crossings in topological multiterminal junctions

Majorana-Weyl crossings in topological multiterminal junctions

Topological supercurrents interaction and fluctuations in the multiterminal Josephson effect

Tunable pseudogaps due to nonlocal coherent transport in voltage-biased three-terminal Josephson junctions

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